Two of the most important operating factors entering into the consideration of what constitutes a satisfactory boiler are its efficiency and capacity. The relation of these factors to one another will be considered later under the selection of boilers with reference to the work they are to accomplish. The present chapter deals with the efficiency and capacity only with a view to making clear exactly what is meant by these terms as applied to steam generating apparatus, together with the methods of determining these factors by tests.
Efficiency—The term “efficiency”, specifically applied to a steam boiler, is the ratio of heat absorbed by the boiler in the generation of steam to the total amount of heat available in the medium utilized in securing such generation. When this medium is a solid fuel, such as coal, it is impossible to secure the complete combustion of the total amount fed to the boiler. A portion is bound to drop through the grates where it becomes mixed with the ash and, remaining unburned, produces no heat. Obviously, it is unfair to charge the boiler with the failure to absorb the portion of available heat in the fuel that is wasted in this way. On the other hand, the boiler user must pay for such waste and is justified in charging it against the combined boiler and furnace. Due to this fact, the efficiency of a boiler, as ordinarily stated, is in reality the combined efficiency of the boiler, furnace and grate, and
The efficiency will be the same whether based on dry fuel or on fuel as fired, including its content of moisture. For example: If the coal contained 3 per cent of moisture, the efficiency would be
The heat supplied to the boiler is due to the combustible portion of fuel which is actually burned, irrespective of what proportion of the total combustible fired may be.[54] This fact has led to the use of a second efficiency basis on combustible and which is called the efficiency of boiler and furnace[55], namely,
The efficiency so determined is used in comparing the relative performance of boilers, irrespective of the type of grates used under them. If the loss of fuel through the grates could be entirely overcome, the efficiencies obtained by (31) and (32) would obviously be the same. Hence, in the case of liquid and gaseous fuels, where there is practically no waste, these efficiencies are almost identical.
[Pg 257]
As a matter of fact, it is extremely difficult, if not impossible, to determine the actual efficiency of a boiler alone, as distinguished from the combined efficiency of boiler, grate and furnace. This is due to the fact that the losses due to excess air cannot be correctly attributed to either the boiler or the furnace, but only to a combination of the complete apparatus. Attempts have been made to devise methods for dividing the losses proportionately between the furnace and the boiler, but such attempts are unsatisfactory and it is impossible to determine the efficiency of a boiler apart from that of a furnace in such a way as to make such determination of any practical value or in a way that might not lead to endless dispute, were the question to arise in the case of a guaranteed efficiency. From the boiler manufacturer’s standpoint, the only way of establishing an efficiency that has any value when guarantees are to be met, is to require the grate or stoker manufacturer to make certain guarantees as to minimum CO2, maximum CO, and that the amount of combustible in the ash and blown away with the flue gases does not exceed a certain percentage. With such a guarantee, the efficiency should be based on the combined furnace and boiler.
General practice, however, has established the use of the efficiency based upon combustible as representing the efficiency of the boiler alone. When such an efficiency is used, its exact meaning, as pointed out on opposite page, should be realized.
The computation of the efficiencies described on opposite page is best illustrated by example.
Assume the following data to be determined from an actual boiler trial.
Steam pressure by gauge, 200 pounds.
Feed temperature, 180 degrees.
Total weight of coal fired, 17,500 pounds.
Percentage of moisture in coal, 3 per cent.
Total ash and refuse, 2396 pounds.
Total water evaporated, 153,543 pounds.
Per cent of moisture in steam, 0.5 per cent.
Heat value per pound of dry coal, 13,516.
Heat value per pound of combustible, 15,359.
The factor of evaporation for such a set of conditions is 1.0834. The actual evaporation corrected for moisture in the steam is 152,775 and the equivalent evaporation from and at 212 degrees is, therefore, 165,516 pounds.
The total dry fuel will be 17,500 × .97 = 16,975, and the evaporation per pound of dry fuel from and at 212 degrees will be 165,516 ÷ 16,975 = 9.75 pounds. The heat absorbed per pound of dry fuel will, therefore, be 9.75 × 970.4 = 9461 B. t. u. Hence, the efficiency by (31) will be 9461 ÷ 13,516 = 70.0 per cent. The total combustible burned will be 16,975 - 2396 = 14,579, and the evaporation from and at 212 degrees per pound of combustible will be 165,516 ÷ 14,579 = 11.35 pounds. Hence, the efficiency based on combustible from (32) will be (11.35 × 97.04) ÷ 15,359 = 71.71.
For approximate results, a chart may be used to take the place of a computation of efficiency. Fig. 39 shows such a chart based on the evaporation per pound of dry fuel and the heat value per pound of dry fuel, from which efficiencies may be read directly to within one-half of one per cent. It is used as follows: From the intersection of the horizontal line, representing the evaporation per pound of fuel, with the vertical line, representing the heat value per pound, the efficiency is read directly from the diagonal scale of efficiencies. This chart may also be used for efficiency based upon combustible when the evaporation from and at 212 degrees and the heat values are both given in terms of combustible.
[Pg 258]
Graph of Evaporation Efficiency
Fig. 39. Efficiency Chart. Calculated from Marks and Davis Tables
Diagonal Lines Represent Per Cent Efficiency
[Pg 259]
Boiler efficiencies will vary over a wide range, depending on a great variety of factors and conditions. The highest efficiencies that have been secured with coal are in the neighborhood of 82 per cent and from that point efficiencies are found all the way down to below 50 per cent. Table 59[57] of tests of Babcock & Wilcox boilers under varying conditions of fuel and operation will give an idea of what may be obtained with proper operating conditions.
The difference between the efficiency secured in any boiler trial and the perfect efficiency, 100 per cent, includes the losses, some of which are unavoidable in the present state of the art, arising in the conversion of the heat energy of the coal to the heat energy in the steam. These losses may be classified as follows:
1st. Loss due to fuel dropped through the grate.
2nd. Loss due to unburned fuel which is carried by the draft, as small particles, beyond the bridge wall into the setting or up the stack.
3rd. Loss due to the utilization of a portion of the heat in heating the moisture contained in the fuel from the temperature of the atmosphere to 212 degrees; to evaporate it at that temperature and to superheat the steam thus formed to the temperature of the flue gases. This steam, of course, is first heated to the temperature of the furnace but as it gives up a portion of this heat in passing through the boiler, the superheating to the temperature of the exit gases is the correct degree to be considered.
4th. Loss due to the water formed and by the burning of the hydrogen in the fuel which must be evaporated and superheated as in item 3.
5th. Loss due to the superheating of the moisture in the air supplied from the atmospheric temperature to the temperature of the flue gases.
6th. Loss due to the heating of the dry products of combustion to the temperature of the flue gases.
7th. Loss due to the incomplete combustion of the fuel when the carbon is not completely consumed but burns to CO instead of CO2. The CO passes out of the stack unburned as a volatile gas capable of further combustion.
8th. Loss due to radiation of heat from the boiler and furnace settings.
Obviously a very elaborate test would have to be made were all of the above items to be determined accurately. In ordinary practice it has become customary to summarize these losses as follows, the methods of computing the losses being given in each instance by a typical example:
(A) Loss due to the heating of moisture in the fuel from the atmospheric temperature to 212 degrees, evaporate it at that temperature and superheat it to the temperature of the flue gases. This in reality is the total heat above the temperature of the air in the boiler room, in one pound of superheated steam at atmospheric pressure at the temperature of the flue gases, multiplied by the percentage of moisture in the fuel. As the total heat above the temperature of the air would have to be computed in each instance, this loss is best expressed by:
Loss in B. t. u. per pound
=
W
(
212
-
t
+
970.4
+
.47
(T-212)
)
(33)
Where
W
=
per cent of moisture in coal,
t
=
the temperature of air in the boiler room, [Pg 260][Pl 260]
T [Pg 261]
=
temperature of the flue gases,
.47
=
the specific heat of superheated steam at the atmospheric pressure and at the flue gas temperature,
(212-t)
=
B. t. u. necessary to heat one pound of water from the temperature of the boiler room to 212 degrees,
970.4
=
B. t. u. necessary to evaporate one pound of water at 212 degrees to steam at atmospheric pressure,
.47(T-212)
=
B. t. u. necessary to superheat one pound of steam at atmospheric pressure from 212 degrees to temperature T.
(B) Loss due to heat carried away in the steam produced by the burning of the hydrogen component of the fuel. In burning, one pound of hydrogen unites with 8 pounds of oxygen to form 9 pounds of steam. Following the reasoning of item (A), therefore, this loss will be:
Loss in B. t. u. per pound
=
9H
(
(212-t)
+
970.4
+
.47
(T-212)
)
(34)
Where
H
=
the percentage by weight of hydrogen.
This item is frequently considered as a part of the unaccounted for loss, where an ultimate analysis of the fuel is not given.
(C) Loss due to heat carried away by dry chimney gases. This is dependent upon the weight of gas per pound of coal which may be determined by formula (16), page 158.
Loss in B. t. u. per pound = (T-t)×.24×W.
Where T and t have values as in (33), .24 = specific heat of chimney gases, W = weight of dry chimney gas per pound of coal.
(D) Loss due to incomplete combustion of the carbon content of the fuel, that is, the burning of the carbon to CO instead of CO2.
Loss in B. t. u. per pound
=
C
×
10,150 CO
––––––––––––––––––
CO2 + CO
(35)
C = per cent of carbon in coal by ultimate analysis, CO and CO2 = per cent of CO and CO2 by volume from flue gas analysis, 10,150 = the number of heat units generated by burning to CO2 one pound of carbon contained in carbon monoxide.
(E) Loss due to unconsumed carbon in the ash (it being usually assumed that all the combustible in the ash is carbon).
Loss in B. t. u. per pound
=
per cent C
×
per cent ash
×
B. t. u. per pound of combustible in the ash (usually taken as 14,600 B. t. u.)
(36)
TABLE 57 DATA FROM WHICH HEAT BALANCE (TABLE 58) IS COMPUTED
Steam Pressure by Gauge, Pounds
192
Temperature of Feed, Degrees Fahrenheit
180
Degrees of Superheat, Degrees Fahrenheit
115.2
Temperature of Boiler Room, Degrees Fahrenheit
81
Temperature of Exit Gases, Degrees Fahrenheit
480
Weight of Coal Used per Hour, Pounds
5714
Moisture, Per Cent
1.83
Dry Coal Per Hour, Pounds
5609
Ash and Refuse per Hour, Pounds
561
Ash and Refuse (of Dry Coal), Per Cent
10.00
Actual Evaporation per Hour, Pounds
57036
Ultimate Analysis Dry Coal
{
C, Per Cent
78.57
H, Per Cent
5.60
O, Per Cent
7.02
N, Per Cent
1.11
Ash, Per Cent
6.52
Sulphur, Per Cent
1.18
Heat Value per Pound Dry Coal, B. t. u.
14225
Heat Value per Pound Combustible, B. t. u.
15217
Combustible in Ash by Analysis, Per Cent
17.9
Flue Gas Analysis
{
CO2, Per Cent
14.33
O, Per Cent
4.54
CO, Per Cent
0.11
N, Per Cent
81.02
The loss incurred in this way is, directly, the carbon in the ash in percentage terms of the total dry coal fired, multiplied by the heat value of carbon.
To compute this item, which is of great importance in comparing the relative performances of different designs of grates, an analysis of the ash must be available.
The other losses, namely, items 2, 5 and 8 of the first classification, are ordinarily grouped under one item, as unaccounted for losses, and are obviously the difference between 100 per cent and the sum of the heat utilized and the losses accounted for as given above. Item 5, or the loss due to the moisture in the air, may be readily computed, the moisture being determined from wet and dry bulb thermometer readings, but it is usually disregarded as it is relatively small, averaging, [Pg 262] say, one-fifth to one-half of one per cent. Lack of data may, of course, make it necessary to include certain items of the second and ordinary classification in this unaccounted for group.
A schedule of the losses as outlined, requires an evaporative test of the boiler, an analysis of the flue gases, an ultimate analysis of the fuel, and either an ultimate or proximate analysis of the ash. As the amount of unaccounted for losses forms a basis on which to judge the accuracy of a test, such a schedule is called a “heat balance”.
A heat balance is best illustrated by an example: Assume the data as given in Table 57 to be secured in an actual boiler test.
From this data the factor of evaporation is 1.1514 and the evaporation per hour from and at 212 degrees is 65,671 pounds. Hence the evaporation from and at 212 degrees per pound of dry coal is 65,671 ÷ 5609 = 11.71 pounds. The efficiency of boiler, furnace and grate is:
(
11.71
×
970.4
)
÷
14,225
=
79.88 per cent.
The heat losses are:
(A) Loss due to moisture in coal,
=
.01831
(
(212 - 81)
+
970.4
+
.47 (480 - 212)
)
=
22. B. t. u.,
=
0.15 per cent.
(B) The loss due to the burning of hydrogen:
=
9
×
.0560
(
(212 - 81)
+
970.4
+
.47 (480 - 212)
)
=
618 B. t. u.,
=
4.34 per cent.
(C) To compute the loss in the heat carried away by dry chimney gases per pound of coal the weight of such gases must be first determined. This weight per pound of coal is:
(
11CO2 + 8O + 7(CO + N)
–––––––––––––––––––––––––––––––––––––––––––
3(CO2+CO)
)
C
[Pg 263]
where CO2, O, CO and H are the percentage by volume as determined by the flue gas analysis and C is the percentage by weight of carbon in the dry fuel. Hence the weight of gas per pound of coal will be,
Therefore the loss of heat in the dry gases carried up the chimney =
13.7 × 0.24(480 - 81)
=
1311 B. t. u.,
=
9.22 per cent.
(D) The loss due to incomplete combustion as evidenced by the presence of CO in the flue gas analysis is:
0.11
–––––––––––––––––––––
14.33 + 0.11
× 78.57 × 10,150
=
61. B. t. u.,
=
.43 per cent.
(E) The loss due to unconsumed carbon in the ash:
The analysis of the ash showed 17.9 per cent to be combustible matter, all of which is assumed to be carbon. The test showed 10.00 of the total dry fuel fired to be ash. Hence 10.00×.179 = 1.79 per cent of the total fuel represents the proportion of this total unconsumed in the ash and the loss due to this cause is
1.79 per cent × 14,600
=
261 B. t. u.,
=
1.83 per cent.
The heat absorbed by the boilers per pound of dry fuel is 11.71×970.4 = 11,363 B. t. u. This quantity plus losses (A), (B), (C), (D) and (E), or 11,363+22+618+1311+61+261 = 13,636 B. t. u. accounted for. The heat value of the coal, 14,225 B. t. u., less 13,636 B. t. u., leaves 589 B. t. u., unaccounted for losses, or 4.15 per cent.
The heat balance should be arranged in the form indicated by Table 58.
TABLE 58 HEAT BALANCE B. T. U. PER POUND DRY COAL 14,225
B. t. u.
Per Cent
Heat absorbed by Boiler
11,363
79.88
Loss due to Evaporation of Moisture in Fuel
22
0.15
Loss due to Moisture formed by Burning of Hydrogen
618
4.34
Loss due to Heat carried away in Dry Chimney Gases
1311
9.22
Loss due to Incomplete Combustion of Carbon
61
0.43
Loss due to Unconsumed Carbon in the Ash
261
1.83
Loss due to Radiation and Unaccounted Losses
589
4.15
Total
14,225
100.00
Application of Heat Balance—A heat balance should be made in connection with any boiler trial on which sufficient data for its computation has been obtained. This is particularly true where the boiler performance has been considered unsatisfactory. The distribution of the heat is thus determined and any extraordinary loss may be detected. Where accurate data for computing such a heat balance is not [Pg 264] available, such a calculation based on certain assumptions is sometimes sufficient to indicate unusual losses.
The largest loss is ordinarily due to the chimney gases, which depends directly upon the weight of the gas and its temperature leaving the boiler. As pointed out in the chapter on flue gas analysis, the lower limit of the weight of gas is fixed by the minimum air supplied with which complete combustion may be obtained. As shown, where this supply is unduly small, the loss caused by burning the carbon to CO instead of to CO2 more than offsets the gain in decreasing the weight of gas.
The lower limit of the stack temperature, as has been shown in the chapter on draft, is more or less fixed by the temperature necessary to create sufficient draft suction for good combustion. With natural draft, this lower limit is probably between 400 and 450 degrees.
Capacity—Before the capacity of a boiler is considered, it is necessary to define the basis to which such a term may be referred. Such a basis is the so-called boiler horse power.
The unit of motive power in general use among steam engineers is the “horse power” which is equivalent to 33,000 foot pounds per minute. Stationary boilers are at the present time rated in horse power, though such a basis of rating may lead and has often led to a misunderstanding. Work, as the term is used in mechanics, is the overcoming of resistance through space, while power is the rate of work or the amount done per unit of time. As the operation of a boiler in service implies no motion, it can produce no power in the sense of the term as understood in mechanics. Its operation is the generation of steam, which acts as a medium to convey the energy of the fuel which is in the form of heat to a prime mover in which that heat energy is converted into energy of motion or work, and power is developed.
If all engines developed the same amount of power from an equal amount of heat, a boiler might be designated as one having a definite horse power, dependent upon the amount of engine horse power its steam would develop. Such a statement of the rating of boilers, though it would still be inaccurate, if the term is considered in its mechanical sense, could, through custom, be interpreted to indicate that a boiler was of the exact capacity required to generate the steam necessary to develop a definite amount of horse power in an engine. Such a basis of rating, however, is obviously impossible when the fact is considered that the amount of steam necessary to produce the same power in prime movers of different types and sizes varies over very wide limits.
To do away with the confusion resulting from an indefinite meaning of the term boiler horse power, the Committee of Judges in charge of the boiler trials at the Centennial Exposition, 1876, at Philadelphia, ascertained that a good engine of the type prevailing at the time required approximately 30 pounds of steam per hour per horse power developed. In order to establish a relation between the engine power and the size of a boiler required to develop that power, they recommended that an evaporation of 30 pounds of water from an initial temperature of 100 degrees Fahrenheit to steam at 70 pounds gauge pressure be considered as one boiler horse power. This recommendation has been generally accepted by American engineers as a standard, and when the term boiler horse power is used in connection with stationary boilers[58][Pg 265] throughout this country,[59] without special definition, it is understood to have this meaning.
Inasmuch as an equivalent evaporation from and at 212 degrees Fahrenheit is the generally accepted basis of comparison[60], it is now customary to consider the standard boiler horse power as recommended by the Centennial Exposition Committee, in terms of equivalent evaporation from and at 212 degrees. This will be 30 pounds multiplied by the factor of evaporation for 70 pounds gauge pressure and 100 degrees feed temperature, or 1.1494. 30 × 1.1494 = 34.482, or approximately 34.5 pounds. Hence, one boiler horse power is equal to an evaporation of 34.5 pounds of water per hour from and at 212 degrees Fahrenheit. The term boiler horse power, therefore, is clearly a measure of evaporation and not of power.
A method of basing the horse power rating of a boiler adopted by boiler manufacturers is that of heating surfaces. Such a method is absolutely arbitrary and changes in no way the definition of a boiler horse power just given. It is simply a statement by the manufacturer that his product, under ordinary operating conditions or conditions which may be specified, will evaporate 34.5 pounds of water from and at 212 degrees per definite amount of heating surface provided. The amount of heating surface that has been considered by manufacturers capable of evaporating 34.5 pounds from and at 212 degrees per hour has changed from time to time as the art has progressed. At the present time 10 square feet of heating surface is ordinarily considered the equivalent of one boiler horse power among manufacturers of stationary boilers. In view of the arbitrary nature of such rating and of the widely varying rates of evaporation possible per square foot of heating surface with different boilers and different operating conditions, such a basis of rating has in reality no particular bearing on the question of horse power and should be considered merely as a convenience.
The whole question of a unit of boiler capacity has been widely discussed with a view to the adoption of a standard to which there would appear to be a more rational and definite basis. Many suggestions have been offered as to such a basis but up to the present time there has been none which has met with universal approval or which would appear likely to be generally adopted.
With the meaning of boiler horse power as given above, that is, a measure of evaporation, it is evident that the capacity of a boiler is a measure of the power it can develop expressed in boiler horse power. Since it is necessary, as stated, for boiler manufacturers to adopt a standard for reasons of convenience in selling, the horse power for which a boiler is sold is known as its normal rated capacity.
The efficiency of a boiler and the maximum capacity it will develop can be determined accurately only by a boiler test. The standard methods of conducting such tests are given on the following pages, these methods being the recommendations of the Power Test Committee of the American Society of Mechanical Engineers brought out in 1913.[61] Certain changes have been made to incorporate in the boiler code such portions of the “Instructions Regarding Tests in General” as apply to boiler testing. Methods of calculation and such matter as are treated in other portions of the book have been omitted from the code as noted. [Pg 266][Pl 266]
1. OBJECT [Pg 267]
Ascertain the specific object of the test, and keep this in view not only in the work of preparation, but also during the progress of the test, and do not let it be obscured by devoting too close attention to matters of minor importance. Whatever the object of the test may be, accuracy and reliability must underlie the work from beginning to end.
If questions of fulfillment of contract are involved, there should be a clear understanding between all the parties, preferably in writing, as to the operating conditions which should obtain during the trial, and as to the methods of testing to be followed, unless these are already expressed in the contract itself.
Among the many objects of performance tests, the following may be noted:
Determination of capacity and efficiency, and how these compare with standard or guaranteed results.
Comparison of different conditions or methods of operation.
Determination of the cause of either inferior or superior results.
Comparison of different kinds of fuel.
Determination of the effect of changes of design or proportion upon capacity or efficiency, etc.
2. PREPARATIONS
(A) Dimensions:
Measure the dimensions of the principal parts of the apparatus to be tested, so far as they bear on the objects in view, or determine these from correct working drawings. Notice the general features of the same, both exterior and interior, and make sketches, if needed, to show unusual points of design.
The dimensions of the heating surfaces of boilers and superheaters to be found are those of surfaces in contact with the fire or hot gases. The submerged surfaces in boilers at the mean water level should be considered as water-heating surfaces, and other surfaces which are exposed to the gases as superheating surfaces.
(B) Examination of Plant:
Make a thorough examination of the physical condition of all parts of the plant or apparatus which concern the object in view, and record the conditions found, together with any points in the matter of operation which bear thereon.
In boilers, examine for leakage of tubes and riveted or other metal joints. Note the condition of brick furnaces, grates and baffles. Examine brick walls and cleaning doors for air leaks, either by shutting the damper and observing the escaping smoke or by candle-flame test. Determine the condition of heating surfaces with reference to exterior deposits of soot and interior deposits of mud or scale.
See that the steam main is so arranged that condensed and entrained water cannot flow back into the boiler.
If the object of the test is to determine the highest efficiency or capacity obtainable, any physical defects, or defects of operation, tending to make the result unfavorable should first be remedied; all foul parts being cleaned, and the whole put in first-class condition. If, on the other hand, the object is to ascertain the performance under existing conditions, no such preparation is either required or desired.
(C) General Precautions against Leakage:
In steam tests make sure that there is no leakage through blow-offs, drips, etc., or any steam or water connections of the plant or apparatus undergoing test, which [Pg 268] would in any way affect the results. All such connections should be blanked off, or satisfactory assurance should be obtained that there is leakage neither out nor in. This is a most important matter, and no assurance should be considered satisfactory unless it is susceptible of absolute demonstration.
3. FUEL
Determine the character of fuel to be used.[62] For tests of maximum efficiency or capacity of the boiler to compare with other boilers, the coal should be of some kind which is commercially regarded as a standard for the locality where the test is made.
In the Eastern States the standards thus regarded for semi-bituminous coals are Pocahontas (Va. and W. Va.) and New River (W. Va.); for anthracite coals those of the No. 1 buckwheat size, fresh-mined, containing not over 13 per cent ash by analysis; and for bituminous coals, Youghiogheny and Pittsburgh coals. In some sections east of the Allegheny Mountains the semi-bituminous Clearfield (Pa.) and Cumberland (Md.) are also considered as standards. These coals when of good quality possess the essentials of excellence, adaptability to various kinds of furnaces, grates, boilers, and methods of firing required, besides being widely distributed and generally accessible in the Eastern market. There are no special grades of coal mined in the Western States which are widely and generally considered as standards for testing purposes; the best coal obtainable in any particular locality being regarded as the standard of comparison.
A coal selected for maximum efficiency and capacity tests, should be the best of its class, and especially free from slagging and unusual clinker-forming impurities.
For guarantee and other tests with a specified coal containing not more than a certain amount of ash and moisture, the coal selected should not be higher in ash and in moisture than the stated amounts, because any increase is liable to reduce the efficiency and capacity more than the equivalent proportion of such increase.
The size of the coal, especially where it is of the anthracite class, should be determined by screening a suitable sample.
The apparatus and instruments required for boiler tests are:
(A) Platform scales for weighing coal and ashes.
(B) Graduated scales attached to the water glasses.
(C) Tanks and platform scales for weighing water (or water meters calibrated in place). Wherever practicable the feed water should be weighed, especially for guarantee tests. The most satisfactory and reliable apparatus for this purpose consists of one or more tanks each placed on platform scales, these being elevated a sufficient distance above the floor to empty into a receiving tank placed below, the latter being connected to the feed pump. Where only one weighing tank is used the receiving tank should be of larger size than the weighing tank, to afford sufficient reserve supply to the pump while the upper tank is filling. If a single weighing tank is used it should preferably be of such capacity as to require emptying not oftener than every 5 minutes. If two or more are used the intervals between successive emptyings should not be less than 3 minutes.
(D) Pressure gauges, thermometers, and draft gauges.
(E) Calorimeters for determining the calorific value of fuel and the quality of steam.
(F) Furnaces pyrometers.
(G) Gas analyzing apparatus.
5. OPERATING CONDITIONS [Pg 269]
Determine what the operating conditions and method of firing should be to conform to the object in view, and see that they prevail throughout the trial, as nearly as possible.
Where uniformity in the rate of evaporation is required, arrangement can be usually made to dispose of the steam so that this result can be attained. In a single boiler it may be accomplished by discharging steam through a waste pipe and regulating the amount by means of a valve. In a battery of boilers, in which only one is tested, the draft may be regulated on the remaining boilers to meet the varying demands for steam, leaving the test boiler to work under a steady rate of evaporation.
6. DURATION
The duration of tests to determine the efficiency of a hand-fired boiler, should be 10 hours of continuous running, or such time as may be required to burn a total of 250 pounds of coal per square foot of grate.
In the case of a boiler using a mechanical stoker, the duration, where practicable, should be at least 24 hours. If the stoker is of a type that permits the quantity and condition of the fuel bed at beginning and end of the test to be accurately estimated, the duration may be reduced to 10 hours, or such time as may be required to burn the above noted total of 250 pounds per square foot.
In commercial tests where the service requires continuous operation night and day, with frequent shifts of firemen, the duration of the test, whether the boilers are hand fired or stoker fired, should be at least 24 hours. Likewise in commercial tests, either of a single boiler or of a plant of several boilers, which operate regularly a certain number of hours and during the balance of the day the fires are banked, the duration should not be less than 24 hours.
The duration of tests to determine the maximum evaporative capacity of a boiler, without determining the efficiency, should not be less than 3 hours.
7. STARTING AND STOPPING
The conditions regarding the temperature of the furnace and boiler, the quantity and quality of the live coal and ash on the grates, the water level, and the steam pressure, should be as nearly as possible the same at the end as at the beginning of the test.
To secure the desired equality of conditions with hand-fired boilers, the following method should be employed:
The furnace being well heated by a preliminary run, burn the fire low, and thoroughly clean it, leaving enough live coal spread evenly over the grate (say 2 to 4 inches),[64] to serve as a foundation for the new fire. Note quickly the thickness of the coal bed as nearly as it can be estimated or measured; also the water level,[65] the steam pressure, and the time, and record the latter as the starting time. Fresh coal should then be fired from that weighed for the test, the ashpit throughly cleaned, and the regular work of the test proceeded with. Before the end of the test the fire should again be burned low and cleaned in such a manner as to leave the same amount of live coal on the grate as at the start. When this condition is reached, observe quickly the water level,[65] the steam pressure, and the time, and record the latter as the stopping time. If the water level is not the same as at the beginning a correction should be made by computation, rather than by feeding additional water after the final readings are taken. Finally remove the ashes and refuse from the ashpit. [Pg 270] In a plant containing several boilers where it is not practicable to clean them simultaneously, the fires should be cleaned one after the other as rapidly as may be, and each one after cleaning charged with enough coal to maintain a thin fire in good working condition. After the last fire is cleaned and in working condition, burn all the fires low (say 4 to 6 inches), note quickly the thickness of each, also the water levels, steam pressure, and time, which last is taken as the starting time. Likewise when the time arrives for closing the test, the fires should be quickly cleaned one by one, and when this work is completed they should all be burned low the same as the start, and the various observations made as noted. In the case of a large boiler having several furnace doors requiring the fire to be cleaned in sections one after the other, the above directions pertaining to starting and stopping in a plant of several boilers may be followed.
To obtain the desired equality of conditions of the fire when a mechanical stoker other than a chain grate is used, the procedure should be modified where practicable as follows:
Regulate the coal feed so as to burn the fire to the low condition required for cleaning. Shut off the coal-feeding mechanism and fill the hoppers level full. Clean the ash or dump plate, note quickly the depth and condition of the coal on the grate, the water level,[66] the steam pressure, and the time, and record the latter as the starting time. Then start the coal-feeding mechanism, clean the ashpit, and proceed with the regular work of the test.
When the time arrives for the close of the test, shut off the coal-feeding mechanism, fill the hoppers and burn the fire to the same low point as at the beginning. When this condition is reached, note the water level, the steam pressure, and the time, and record the latter as the stopping time. Finally clean the ashplate and haul the ashes.
In the case of chain grate stokers, the desired operating conditions should be maintained for half an hour before starting a test and for a like period before its close, the height of the throat plate and the speed of the grate being the same during both of these periods.
8. RECORDS
A log of the data should be entered in notebooks or on blank sheets suitably prepared in advance. This should be done in such manner that the test may be divided into hourly periods, or if necessary, periods of less duration, and the leading data obtained for any one or more periods as desired, thereby showing the degree of uniformity obtained.
Half-hourly readings of the instruments are usually sufficient. If there are sudden and wide fluctuations, the readings in such cases should be taken every 15 minutes, and in some instances oftener.
The coal should be weighed and delivered to the firemen in portions sufficient for one hour’s run, thereby ascertaining the degree of uniformity of firing. An ample supply of coal should be maintained at all times, but the quantity on the floor at the end of each hour should be as small as practicable, so that the same may be readily estimated and deducted from the total weight.
The records should be such as to ascertain also the consumption of feed water each hour and thereby determine the degree of uniformity of evaporation.
If the boiler does not produce superheated steam the percentage of moisture in the steam should be determined by the use of a throttling or separating calorimeter. If the boiler has superheating surface, the temperature of the steam should be determined by the use of a thermometer inserted in a thermometer well.
[Pg 271]
For saturated steam construct a sampling pipe or nozzle made of one-half inch iron pipe and insert it in the steam main at a point where the entrained moisture is likely to be most thoroughly mixed. The inner end of the pipe, which should extend nearly across to the opposite side of the main, should be closed and interior portion perforated with not less than twenty one-eighth inch holes equally distributed from end to end and preferably drilled in irregular or spiral rows, with the first hole not less than half an inch from the wall of the pipe.
The sampling pipe should not be placed near a point where water may pocket or where such water may effect the amount of moisture contained in the sample. Where non-return valves are used, or there are horizontal connections leading from the boiler to a vertical outlet, water may collect at the lower end of the uptake pipe and be blown upward in a spray which will not be carried away by the steam owing to a lack of velocity. A sample taken from the lower part of this pipe will show a greater amount of moisture than a true sample. With goose-neck connections a small amount of water may collect on the bottom of the pipe near the upper end where the inclination is such that the tendency to flow backward is ordinarily counterbalanced by the flow of steam forward over its surface; but when the velocity momentarily decreases the water flows back to the lower end of the goose-neck and increases the moisture at that point, making it an undesirable location for sampling. In any case it must be borne in mind that with low velocities the tendency is for drops of entrained water to settle to the bottom of the pipe, and to be temporarily broken up into spray whenever an abrupt bend or other disturbance is met.
If it is necessary to attach the sampling nozzle at a point near the end of a long horizontal run, a drip pipe should be provided a short distance in front of the nozzle, preferably at a pocket formed by some fitting and the water running along the bottom of the main drawn off, weighed, and added to the moisture shown by the calorimeter; or, better, a steam separator should be installed at the point noted.
In testing a stationary boiler the sampling pipe should be located as near as practicable to the boiler, and the same is true as regards the thermometer well when the steam is superheated. In an engine or turbine test these locations should be as near as practicable to throttle valve. In the test of a plant where it is desired to get complete information, especially where the steam main is unusually long, sampling nozzles or thermometer wells should be provided at both points, so as to obtain data at either point as may be required.
10. SAMPLING AND DRYING COAL
During the progress of test the coal should be regularly sampled for the purpose of analysis and determination of moisture.
Select a representative shovelful from each barrow-load as it is drawn from the coal pile or other source of supply, and store the samples in a cool place in a covered metal receptacle. When all the coal has thus been sampled, break up the lumps, thoroughly mix the whole quantity, and finally reduce it by the process of repeated quartering and crushing to a sample weighing about 5 pounds, the largest pieces being about the size of a pea. From this sample two one-quart air-tight glass fruit jars, or other air-tight vessels, are to be promptly filled and preserved for subsequent determinations of moisture, calorific value, and chemical composition. These operations should be conducted where the air is cool and free from drafts.
When the sample lot of coal has been reduced by quartering to, say, 100 pounds, a portion weighing, say, 15 to 20 pounds should be withdrawn for the purpose of [Pg 272][Pl 272] [Pg 273] immediate moisture determination. This is placed in a shallow iron pan and dried on the hot iron boiler flue for at least 12 hours, being weighed before and after drying on scales reading to quarter ounces.
The moisture thus determined is approximately reliable for anthracite and semi-bituminous coals, but not for coals containing much inherent moisture. For such coals, and for all absolutely reliable determinations the method to be pursued is as follows:
Take one of the samples contained in the glass jars, and subject it to a thorough air drying, by spreading it in a thin layer and exposing it for several hours to the atmosphere of a warm room, weighing it before and after, thereby determining the quantity of surface moisture it contains.[68] Then crush the whole of it by running it through an ordinary coffee mill or other suitable crusher adjusted so as to produce somewhat coarse grains (less than 1/16 inch), thoroughly mix the crushed sample, select from it a portion of from 10 to 50 grams,[69] weigh it in a balance which will easily show a variation as small as 1 part in 1000, and dry it for one hour in an air or sand bath at a temperature between 240 and 280 degrees Fahrenheit. Weigh it and record the loss, then heat and weigh again until the minimum weight has been reached. The difference between the original and the minimum weight is the moisture in the air-dried coal. The sum of the moisture thus found and that of the surface moisture is the total moisture.
11. ASHES AND REFUSE
The ashes and refuse withdrawn from the furnace and ashpit during the progress of the test and at its close should be weighed so far as possible in a dry state. If wet the amount of moisture should be ascertained and allowed for, a sample being taken and dried for this purpose. This sample may serve also for analysis and the determination of unburned carbon and fusing temperature.
The method above described for sampling coal may also be followed for obtaining a sample of the ashes and refuse.
12. CALORIFIC TESTS AND ANALYSES OF COAL
The quality of the fuel should be determined by calorific tests and analysis of the coal sample above referred to.[70]
13. ANALYSES OF FLUE GASES
For approximate determinations of the composition of the flue gases, the Orsat apparatus, or some modification thereof, should be employed. If momentary samples are obtained the analyses should be made as frequently as possible, say, every 15 to 30 minutes, depending on the skill of the operator, noting at the time the sample is drawn the furnace and firing conditions. If the sample drawn is a continuous one, the intervals may be made longer.
In tests of bituminous coals requiring a determination of the amount of smoke produced, observations should be made regularly throughout the trial at intervals of [Pg 274] 5 minutes (or if necessary every minute), noting at the same time the furnace and firing conditions.
15. CALCULATION OF RESULTS
The methods to be followed in expressing and calculating those results which are not self-evident are explained as follows:
(A) Efficiency. The “efficiency of boiler, furnace and grate” is the relation between the heat absorbed per pound of coal fired, and the calorific value of one pound of coal.
The “efficiency of boiler and furnace” is the relation between the heat absorbed per pound of combustible burned, and the calorific value of one pound of combustible. This expression of efficiency furnishes a means for comparing one boiler and furnace with another, when the losses of unburned coal due to grates, cleanings, etc., are eliminated.
The “combustible burned” is determined by subtracting from the weight of coal supplied to the boiler, the moisture in the coal, the weight of ash and unburned coal withdrawn from the furnace and ashpit, and the weight of dust, soot, and refuse, if any, withdrawn from the tubes, flues, and combustion chambers, including ash carried away in the gases, if any, determined from the analysis of coal and ash. The “combustible” used for determining the calorific value is the weight of coal less the moisture and ash found by analysis.
The “heat absorbed” per pound of coal, or combustible, is calculated by multiplying the equivalent evaporation from and at 212 degrees per pound of coal or combustible by 970.4.
Other items in this section which have been treated elsewhere are:
(B) Corrections for moisture in steam.
(C) Correction for live steam used.
(D) Equivalent evaporation.
(E) Heat balance.
(F) Total heat of combustion of coal.
(G) Air for combustion and the methods recommended for calculating these results are in accordance with those described in different portions of this book.
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[30] For degree of accuracy of this formula, see Transactions, A. S. M. E., Volume XXI, 1900, page 94.
[31] For loss per pound of coal multiply by per cent of carbon in coal by ultimate analysis.
[32] For loss per pound of coal multiply by per cent of carbon in coal by ultimate analysis.
[21] The actual specific heat at a particular temperature and pressure is that corresponding to a change of one degree one way or the other and differs considerably from the average value for the particular temperature and pressure given in the table. The mean values given in the table give correct results when employed to determine the factor of evaporation whereas the actual values at the particular temperatures and pressures would not.
In some experiments made by Professor C. H. Peabody, in the flow of steam through pipes from ¼ inch to 1½ inches long and ¼ inch in diameter, with rounded entrances, the greatest difference from Napier’s formula was 3.2 per cent excess of the experimental over the calculated results.
For steam flowing through an orifice from a higher to a lower pressure where the lower pressure is greater than 58 per cent of the higher, the flow per minute may be calculated from the formula:
W
=
1.9 A K
v
(
(P - d) d
)
(50)
Where
W
=
the weight of steam discharged in pounds per minute,
A
=
area of orifice in square inches,
P
=
the absolute initial pressure in pounds per square inch,
d
=
the difference in pressure between the two sides in pounds per square inch,
K
=
[Pg 322][Pl 322] a constant = .93 for a short pipe, and .63 for a hole in a thin plate or a safety valve.
Determination of Temperature from Character of Emitted Light—As a further means of determining approximately the temperature of a furnace, Table 9, compiled by Messrs. White & Taylor, may be of service. The color at a given temperature is approximately the same for all kinds of combustibles under similar conditions.
TABLE 9 CHARACTER OF EMITTED LIGHT AND CORRESPONDING APPROXIMATE TEMPERATURE[9]
[2] When one temperature alone is given the “true” specific heat is given; otherwise the value is the “mean” specific heat for the range of temperature given.
Burning Oil in Connection with Other Fuels—Considerable attention has been recently given to the burning of oil in connection with other fuels, and a combination of this sort may be advisable either with the view to increasing the boiler [Pg 225] capacity to assist over peak loads, or to keep the boiler in operation where there is the possibility of a temporary failure of the primary fuel. It would appear from experiments that such a combination gives satisfactory results from the standpoint of both capacity and efficiency, if the two fuels are burned in separate furnaces. Satisfactory results cannot ordinarily be obtained when it is attempted to burn oil fuel in the same furnace as the primary fuel, as it is practically impossible to admit the proper amount of air for combustion for each of the two fuels simultaneously. The Babcock & Wilcox boiler lends itself readily to a double furnace arrangement and Fig. 30 shows an installation where oil fuel is burned as an auxiliary to wood.
Boiler with Oil/Wood Furnace
Fig. 30. Babcock & Wilcox Boiler Set with Combination Oil and Wood-burning Furnace
Water-gas Tar—Water-gas tar, or gas-house tar, is a by-product of the coal used in the manufacture of water gas. It is slightly heavier than crude oil and has a comparatively low flash point. In burning, it should be heated only to a temperature which makes it sufficiently fluid, and any furnace suitable for crude oil is in general suitable for water-gas tar. Care should be taken where this fuel is used to install a suitable apparatus for straining it before it is fed to the burner. [Pg 226][Pl 226]
The data and results should be reported in accordance with either the short form or the complete form, adding lines for data not provided for, or omitting those not required, as may conform to the object in view.
17. CHART
In trials having for an object the determination and exposition of the complete boiler performance, the entire log of readings and data should be plotted on a chart and represented graphically.
18. TESTS WITH OIL AND GAS FUELS
Tests of boilers using oil or gas for fuel should accord with the rules here given, excepting as they are varied to conform to the particular characteristics of the fuel. The duration in such cases may be reduced, and the “flying” method of starting and stopping employed.
The table of data and results should contain items stating character of furnace and burner, quality and composition of oil or gas, temperature of oil, pressure of steam used for vaporizing and quantity of steam used for both vaporizing and for heating.
TABLE DATA AND RESULTS OF EVAPORATIVE TEST SHORT FORM, CODE OF 1912
1
Test of
boiler located at
to determine
conducted by
2
Kind of furnace
3
Grate surface
square feet
4
Water-heating surface
square feet
5
Superheating surface
square feet [Pg 275]
6
Date
7
Duration
hours
8
Kind and size of coal
AVERAGE PRESSURES, TEMPERATURES, ETC.
9
Steam pressure by gauge
pounds
10
Temperature of feed water entering boiler
degrees
11
Temperature of escaping gases leaving boiler
degrees
12
Force of draft between damper and boiler
inches
13
Percentage of moisture in steam, or number degrees of superheating
[54] To determine the portion of the fuel which is actually burned, the weight of ashes should be computed from the total weight of coal burned and the coal and ash analyses in order to allow for any ash that may be blown away with the flue gases. In many cases the ash so computed is considerably higher than that found in the test.
[55] As distinguished from the efficiency of boiler, furnace and grate.
[56] To obtain the efficiency of the boiler as an absorber of the heat contained in the hot gases, this should be the heat generated per pound of combustible corrected so that any heat lost through incomplete combustion will not be charged to the boiler. This, however, does not eliminate the furnace as the presence of excess air in the gases lowers the efficiency and the ability to run without excess air depends on the design and operation of the furnace. The efficiency based on the total heat value per pound of combustible is, however, ordinarily taken as the efficiency of the boiler notwithstanding the fact that it necessarily involves the furnace.
[58] Where the horse power of marine boilers is stated, it generally refers to and is synonymous with the horse power developed by the engines which they serve.
[59] In other countries, boilers are ordinarily rated not in horse power but by specifying the quantity of water they are capable of evaporating from and at 212 degrees or under other conditions.
[60] See equivalent evaporation from and at 212 degrees, page 116.
[61] The recommendations are those made in the preliminary report of the Committee on Power Tests and at the time of going to press have not been finally accepted by the Society as a whole.
[62] This code relates primarily to tests made with coal.
[63] The necessary apparatus and instruments are described elsewhere. No definite rules can be given for location of instruments. For suggestions on location, see A. S. M. E. Code of 1912, Appendix 24. For calibration of instruments, see Code, Vol. XXXIV, Trans., A. S. M. E., pages 1691-1702 and 1713-14.
[64] One to two inches for small anthracite coals.
[65] Do not blow down the water-glass column for at least one hour before these readings are taken. An erroneous indication may otherwise be caused by a change of temperature and density of the water within the column and connecting pipe.
[66] Do not blow down the water-glass column for at least one hour before these readings are taken. An erroneous indication may otherwise be caused by a change of temperature and density of the water within the column and connecting pipe.
[67] For calculations relating to quality of steam, see page 129.
[68] Where the coal is very moist, a portion of the moisture will cling to the walls of the jar, and in such case the jar and fuel together should be dried out in determining the total moisture.
[71] For suggestions relative to Smoke Observations, see A. S. M. E. Code of 1912, Appendix 16 and 17.
[72] The term “as fired” means actual condition including moisture, corrected for estimated difference in weight of coal on the grate at beginning and end.
[73] Corrected for inequality of water level and steam pressure at beginning and end.
TABLE 24 PROPERTIES OF SATURATED STEAM REPRODUCED BY PERMISSION FROM MARKS AND DAVIS “STEAM TABLES AND DIAGRAMS” (Copyright, 1909, by Longmans, Green & Co.)
Degrees of Superheat
Pressure Pounds Absolute
Saturated Steam
50
100
150
200
250
300
5
t v h
162.3 73.3 1130.5
212.3 79.7 1153.5
262.3 85.7 1176.4
312.3 91.8 1199.5
362.3 97.8 1222.5
412.3 103.8 1245.6
462.3 109.8 1268.7
10
t v h
193.2 38.4 1143.1
243.2 41.5 1166.3
293.2 44.6 1189.5
343.2 47.7 1212.7
393.2 50.7 1236.0
443.2 53.7 1259.3
493.2 56.7 1282.5
15
t v h
213.0 26.27 1150.7
263.0 28.40 1174.2
313.0 30.46 1197.6
363.0 32.50 1221.0
413.0 34.53 1244.4
463.0 36.56 1267.7
513.0 38.58 1291.1
20
t v h
228.0 20.08 1156.2
278.0 21.69 1179.9
328.0 23.25 1203.5
378.0 24.80 1227.1
428.0 26.33 1250.6
478.0 27.85 1274.1
528.0 29.37 1297.6
25
t v h
240.1 16.30 1160.4
290.1 17.60 1184.4
340.1 18.86 1208.2
390.1 20.10 1231.9
440.1 21.32 1255.6
490.1 22.55 1279.2
540.1 23.77 1302.8
30
t v h
250.4 13.74 1163.9
300.4 14.83 1188.1
350.4 15.89 1212.1
400.4 16.93 1236.0
450.4 17.97 1259.7
500.4 18.99 1283.4
550.4 20.00 1307.1
35
t v h
259.3 11.89 1166.8
309.3 12.85 1191.3
359.3 13.75 1215.4
409.3 14.65 1239.4
459.3 15.54 1263.3
509.3 16.42 1287.1
559.3 17.30 1310.8
40
t v h
267.3 10.49 1169.4
317.3 11.33 1194.0
367.3 12.13 1218.4
417.3 12.93 1242.4
467.3 13.70 1266.4
517.3 14.48 1290.3
567.3 15.25 1314.1
45
t v h
274.5 9.39 1171.6
324.5 10.14 1196.6
374.5 10.86 1221.0
424.5 11.57 1245.2
474.5 12.27 1269.3
524.5 12.96 1293.2
574.5 13.65 1317.0
50
t v h
281.0 8.51 1173.6
331.0 9.19 1198.8
381.0 9.84 1223.4
431.0 10.48 1247.7
481.0 11.11 1271.8
531.0 11.74 1295.8
581.0 12.36 1319.7
60
t v h
287.1 7.78 1175.4
337.1 8.40 1200.8
387.1 9.00 1225.6
437.1 9.59 1250.0
487.1 10.16 1274.2
537.1 10.73 1298.1
587.1 11.30 1322.0
Degrees of Superheat
Pressure Pounds Absolute
Saturated Steam
50
100
150
200
250
300
60
t v h
292.7 7.17 1177.0
342.7 7.75 1202.6
392.7 8.30 1227.6
442.7 8.84 1252.1
492.7 9.36 1276.4
542.7 9.89 1300.4
592.7 10.41 1324.3
65
t v h
298.0 6.65 1178.5
348.0 7.20 1204.4
398.0 7.70 1229.5
448.0 8.20 1254.0
498.0 8.69 1278.4
548.0 9.17 1302.4
598.0 9.65 1326.4
70
t v h
302.9 6.20 1179.8
352.9 6.71 1205.9
402.9 7.18 1231.2
452.9 7.65 1255.8
502.9 8.11 1280.2
552.9 8.56 1304.3
602.9 9.01 1328.3
75
t v h
307.6 5.81 1181.1
357.6 6.28 1207.5
407.6 6.73 1232.8
457.6 7.17 1257.5
507.6 7.60 1282.0
557.6 8.02 1306.1
607.6 8.44 1330.1
80
t v h
312.0 5.47 1182.3
362.0 5.92 1208.8
412.0 6.34 1234.3
462.0 6.75 1259.0
512.0 7.17 1283.6
562.0 7.56 1307.8
612.0 7.95 1331.9
85
t v h
316.3 5.16 1183.4
366.3 5.59 1210.2
416.3 6.99 1235.8
466.3 6.38 1260.6
516.3 6.76 1285.2
566.3 7.14 1309.4
616.3 7.51 1333.5
90
t v h
320.3 4.89 1184.4
370.3 5.29 1211.4
420.3 5.67 1237.2
470.3 6.04 1262.0
520.3 6.40 1286.6
570.3 6.76 1310.8
620.3 [Pg 126] 7.11 1334.9
95
t v h
324.1 4.65 1185.4
374.1 5.03 1212.6
424.1 5.39 1238.4
474.1 5.74 1263.4
524.1 6.09 1288.1
574.1 6.43 1312.3
624.1 6.76 1336.4
100
t v h
327.8 4.43 1186.3
377.8 4.79 1213.8
427.8 5.14 1239.7
477.8 5.47 1264.7
527.8 5.80 1289.4
577.8 6.12 1313.6
627.8 6.44 1337.8
105
t v h
331.4 4.23 1187.2
381.4 4.58 1214.9
431.4 4.91 1240.8
481.4 5.23 1265.9
531.4 5.54 1290.6
581.4 5.85 1314.9
631.4 6.15 1339.1
110
t v h
334.8 4.05 1188.0
384.8 4.38 1215.9
434.8 4.70 1242.0
484.8 5.01 1267.1
534.8 5.31 1291.9
584.8 5.61 1316.2
634.8 5.90 1340.4
Degrees of Superheat
Pressure Pounds Absolute
Saturated Steam
50
100
150
200
250
300
115
t v h
338.1 3.88 1188.8
388.1 4.20 1216.9
438.1 4.51 1243.1
488.1 4.81 1268.2
538.1 5.09 1293.0
588.1 5.38 1317.3
638.1 5.66 1341.5
120
t v h
341.3 3.73 1189.6
391.3 4.04 1217.9
441.3 4.33 1244.1
491.3 4.62 1269.3
541.3 4.89 1294.1
591.3 5.17 1318.4
641.3 5.44 1342.7
125
t v h
344.4 3.58 1190.3
394.4 3.88 1218.8
444.4 4.17 1245.1
494.4 4.45 1270.4
544.4 4.71 1295.2
594.4 4.97 1319.5
644.4 5.23 1343.8
130
t v h
347.4 3.45 1191.0
397.4 3.74 1219.7
447.4 4.02 1246.1
497.4 4.28 1271.4
547.4 4.54 1296.2
597.4 4.80 1320.6
647.4 5.05 1344.9
135
t v h
350.3 3.33 1191.6
400.3 3.61 1220.6
450.3 3.88 1247.0
500.3 4.14 1272.3
550.3 4.38 1297.2
600.3 4.63 1321.6
650.3 4.87 1345.9
140
t v h
353.1 3.22 1192.2
403.1 3.49 1221.4
453.1 3.75 1248.0
503.1 4.00 1273.3
553.1 4.24 1298.2
603.1 4.48 1322.6
653.1 4.71 1346.9
145
t v h
355.8 3.12 1192.8
405.8 3.38 1222.2
455.8 3.63 1248.8
505.8 3.87 1274.2
555.8 4.10 1299.1
605.8 4.33 1323.6
655.8 4.56 1347.9
150
t v h
358.5 3.01 1193.4
408.5 3.27 1223.0
458.5 3.50 1249.6
508.5 3.75 1275.1
558.5 3.97 1300.0
608.5 4.19 1324.5
658.5 4.41 1348.8
155
t v h
361.0 2.92 1194.0
411.0 3.17 1223.6
461.0 3.41 1250.5
511.0 3.63 1276.0
561.0 3.85 1300.8
611.0 4.06 1325.3
661.0 4.28 1349.7
160
t v h
363.6 2.83 1194.5
413.6 3.07 1224.5
463.6 3.30 1251.3
513.6 3.53 1276.8
563.6 3.74 1301.7
613.6 3.95 1326.2
663.6 4.15 1350.6
165
t v h
366.0 2.75 1195.0
416.0 2.99 1225.2
466.0 3.21 1252.0
516.0 3.43 1277.6
566.0 3.64 1302.5
616.0 3.84 1327.1
666.0 4.04 1351.5
Degrees of Superheat
Pressure Pounds Absolute
Saturated Steam
50
100
150
200
250
300
170
t v h
368.5 2.68 1195.4
418.5 2.91 1225.9
468.5 3.12 1252.8
518.5 3.34 1278.4
568.5 3.54 1303.3
618.5 3.73 1327.9
668.5 3.92 1352.3
175
t v h
370.8 2.60 1195.9
420.8 2.83 1226.6
470.8 3.04 1253.6
520.8 3.24 1279.1
570.8 3.44 1304.1
620.8 3.63 1328.7
670.8 [Pg 127] 3.82 1353.2
180
t v h
373.1 2.53 1196.4
423.1 2.75 1227.2
473.1 2.96 1254.3
523.1 3.16 1279.9
573.1 3.35 1304.8
623.1 3.54 1329.5
673.1 3.72 1353.9
185
t v h
375.4 2.47 1196.8
425.4 2.68 1227.9
475.4 2.89 1255.0
525.4 3.08 1280.6
575.4 3.27 1305.6
625.4 3.45 1330.2
675.4 3.63 1354.7
190
t v h
377.6 2.41 1197.3
427.6 2.62 1228.6
477.6 2.81 1255.7
527.6 3.00 1281.3
577.6 3.19 1306.3
627.6 3.37 1330.9
677.6 3.55 1355.5
195
t v h
379.8 2.35 1197.7
429.8 2.55 1229.2
479.8 2.75 1256.4
529.8 2.93 1282.0
579.8 3.11 1307.0
629.8 3.29 1331.6
679.8 3.46 1356.2
200
t v h
381.9 2.29 1198.1
431.9 2.49 1229.8
481.9 2.68 1257.1
531.9 2.86 1282.6
581.9 3.04 1307.7
631.9 3.21 1332.4
681.9 3.38 1357.0
205
t v h
384.0 2.24 1198.5
434.0 2.44 1230.4
484.0 2.62 1257.7
534.0 2.80 1283.3
584.0 2.97 1308.3
634.0 3.14 1333.0
684.0 3.30 1357.7
210
t v h
386.0 2.19 1198.8
436.0 2.38 1231.0
486.0 2.56 1258.4
536.0 2.74 1284.0
586.0 2.91 1309.0
636.0 3.07 1333.7
686.0 3.23 1358.4
215
t v h
388.0 2.14 1199.2
438.0 2.33 1231.6
488.0 2.51 1259.0
538.0 2.68 1284.6
588.0 2.84 1309.7
638.0 3.00 1334.4
688.0 3.16 1359.1
220
t v h
389.9 2.09 1199.6
439.9 2.28 1232.2
489.9 2.45 1259.6
539.9 2.62 1285.2
589.9 2.78 1310.3
639.9 2.94 1335.1
689.9 3.10 1359.8
Degrees of Superheat
Pressure Pounds Absolute
Saturated Steam
50
100
150
200
250
300
225
t v h
391.9 2.05 1199.9
441.9 2.23 1232.7
491.9 2.40 1260.2
541.9 2.57 1285.9
591.9 2.72 1310.9
641.9 2.88 1335.7
691.9 3.03 1360.3
230
t v h
393.8 2.00 1200.2
443.8 2.18 1233.2
493.8 2.35 1260.7
543.8 2.51 1286.5
593.8 2.67 1311.6
643.8 2.82 1336.3
693.8 2.97 1361.0
235
t v h
395.6 1.96 1200.6
445.6 2.14 1233.8
495.6 2.30 1261.4
545.6 2.46 1287.1
595.6 2.62 1312.2
645.6 2.77 1337.0
695.6 2.91 1361.7
240
t v h
397.4 1.92 1200.9
447.4 2.09 1234.3
497.4 2.26 1261.9
547.4 2.42 1287.6
597.4 2.57 1312.8
647.4 2.71 1337.6
697.4 2.85 1362.3
245
t v h
399.3 1.89 1201.2
449.3 2.05 1234.8
499.3 2.22 1262.5
549.3 2.37 1288.2
599.3 2.52 1313.3
649.3 2.66 1338.2
699.3 2.80 1362.9
250
t v h
401.0 1.85 1201.5
451.0 2.02 1235.4
501.0 2.17 1263.0
551.0 2.33 1288.8
601.0 2.47 1313.9
651.0 2.61 1338.8
701.0 2.75 1363.5
255
t v h
402.8 1.81 1201.8
452.8 1.98 1235.9
502.8 2.14 1263.6
552.8 2.28 1289.3
602.8 2.43 1314.5
652.8 2.56 1339.3
702.8 2.70 1364.1
t = Temperature, degrees Fahrenheit.
v = Specific volume, in cubic feet, per pound.
h = Total heat from water at 32 degrees, B. t. u.
[Pg 128]
[Pg 243]
Height and Diameter of Stacks—From this formula (27) it becomes evident that a stack of certain diameter, if it be increased in height, will produce the same available draft as one of larger diameter, the additional height being required to overcome the added frictional loss. It follows that among the various stacks that would meet the requirements of a particular case there must be one which can be constructed more cheaply than the others. It has been determined from the relation of the cost of stacks to their diameters and heights, in connection with the formula for available draft, that the minimum cost stack has a diameter dependent solely upon the horse power of the boilers it serves, and a height proportional to the available draft required.
Assuming 120 pounds of flue gas per hour for each boiler horse power, which provides for ordinary overloads and the use of poor coal, the method above stated gives:
For an unlined steel stack—diameter in inches = 4.68 (H. P.)2/5(28)
For a stack lined with masonry—diameter in inches = 4.92 (H. P.)2/5(29)
In both of these formulae H. P. = the rated horse power of the boiler.
From this formula the curve, Fig. 33, has been calculated and from it the stack diameter for any boiler horse power can be selected.
For stoker practice where a large stack serves a number of boilers, the area is usually made about one-third more than the above rules call for, which allows for leakage of air through the setting of any idle boilers, irregularities in operating conditions, etc.
Stacks with diameters determined as above will give an available draft which bears a constant ratio of the theoretical draft, and allowing for the cooling of the gases in their passage upward through the stack, this ratio is 8. Using this factor in formula (25), and transposing, the height of the chimney becomes,
H
=
d1
–––––––
.8 K
(30)
Where
H
=
height of stack in feet above the level of the grates,
d1
=
available draft required,
K
=
constant as in formula.
Losses in Flues—The loss of draft in straight flues due to friction and inertia can be calculated approximately from formula (26), which was given for loss in stacks. It is to be borne in mind that C in this formula is the actual perimeter of the flue and is least, relative to the cross sectional area, when the section is a circle, is greater for a square section, and greatest for a rectangular section. The retarding effect of a square flue is 12 per cent greater than that of a circular flue of the same area and that of a rectangular with sides as 1 and 1½, 15 per cent greater. The greater resistance of the more or less uneven brick or concrete flue is provided for in the value of the constants given for formula (26). Both steel and brick flues should be short and should have as near a circular or square cross section as possible. Abrupt turns are to be avoided, but as long easy sweeps require valuable space, it is often desirable to increase the height of the stack rather than to take up added space in the boiler room. Short right-angle turns reduce the draft by an amount which can be roughly approximated as equal to 0.05 inch for each turn. The turns which the gases make in leaving the damper box of a boiler, in entering a horizontal flue and in turning up into a stack should always be considered. The cross sectional areas of the passages leading from the boilers to the stack should be of ample size to provide against undue frictional loss. It is poor economy to restrict the size of the flue and thus make additional stack height [Pg 244][Pl 244] [Pg 245] necessary to overcome the added friction. The general practice is to make flue areas the same or slightly larger than that of the stack; these should be, preferably, at least 20 per cent greater, and a safe rule to follow in figuring flue areas is to allow 35 square feet per 1000 horse power. It is unnecessary to maintain the same size of flue the entire distance behind a row of boilers, and the areas at any point may be made proportional to the volume of gases that will pass that point. That is, the areas may be reduced as connections to various boilers are passed.
With circular steel flues of approximately the same size as the stacks, or reduced proportionally to the volume of gases they will handle, a convenient rule is to allow 0.1 inch draft loss per 100 feet of flue length and 0.05 inch for each right-angle turn. These figures are also good for square or rectangular steel flues with areas sufficiently large to provide against excessive frictional loss. For losses in brick or concrete flues, these figures should be doubled.
Underground flues are less desirable than overhead or rear flues for the reason that in most instances the gases will have to make more turns where underground flues are used and because the cross sectional area of such flues will oftentimes be decreased on account of an accumulation of dirt or water which it may be impossible to remove.
In tall buildings, such as office buildings, it is frequently necessary in order to carry spent gases above the roofs, to install a stack the height of which is out of all proportion to the requirements of the boilers. In such cases it is permissible to decrease the diameter of a stack, but care must be taken that this decrease is not sufficient to cause a frictional loss in the stack as great as the added draft intensity due to the increase in height, which local conditions make necessary.
In such cases also the fact that the stack diameter is permissibly decreased is no reason why flue sizes connecting to the stack should be decreased. These should still be figured in proportion to the area of the stack that would be furnished under ordinary conditions or with an allowance of 35 square feet per 1000 horse power, even though the cross sectional area appears out of proportion to the stack area.
Loss in Boiler—In calculating the available draft of a chimney 120 pounds per hour has been used as the weight of the gases per boiler horse power. This covers an overload of the boiler to an extent of 50 per cent and provides for the use of poor coal. The loss in draft through a boiler proper will depend upon its type and baffling and will increase with the per cent of rating at which it is run. No figures can be given which will cover all conditions, but for approximate use in figuring the available draft necessary it may be assumed that the loss through a boiler will be 0.25 inch where the boiler is run at rating, 0.40 inch where it is run at 150 per cent of its rated capacity, and 0.70 inch where it is run at 200 per cent of its rated capacity.
Loss in Furnace—The draft loss in the furnace or through the fuel bed varies between wide limits. The air necessary for combustion must pass through the interstices of the coal on the grate. Where these are large, as is the case with broken coal, but little pressure is required to force the air through the bed; but if they are small, as with bituminous slack or small sizes of anthracite, a much greater pressure is needed. If the draft is insufficient the coal will accumulate on the grates and a dead smoky fire will result with the accompanying poor combustion; if the draft is too great, the coal may be rapidly consumed on certain portions of the grate, leaving the fire thin in spots and a portion of the grates uncovered with the resulting losses due to an excessive amount of air.
[Pg 246]
Graph of Draft
Fig. 34. Draft Required at Different Combustion Rates for Various Kinds of Coal
[Pg 247]
Draft Required for Different Fuels—For every kind of fuel and rate of combustion there is a certain draft with which the best general results are obtained. A comparatively light draft is best with the free burning bituminous coals and the amount to use increases as the percentage of volatile matter diminishes and the fixed carbon increases, being highest for the small sizes of anthracites. Numerous other factors such as the thickness of fires, the percentage of ash and the air spaces in the grates bear directly on this question of the draft best suited to a given combustion rate. The effect of these factors can only be found by experiment. It is almost impossible to show by one set of curves the furnace draft required at various rates of combustion for all of the different conditions of fuel, etc., that may be met. The curves in Fig. 34, however, give the furnace draft necessary to burn various kinds of coal at the combustion rates indicated by the abscissae, for a general set of conditions. These curves have been plotted from the records of numerous tests and allow a safe margin for economically burning coals of the kinds noted.
Rate of Combustion—The amount of coal which can be burned per hour per square foot of grate surface is governed by the character of the coal and the draft available. When the boiler and grate are properly proportioned, the efficiency will be practically the same, within reasonable limits, for different rates of combustion. The area of the grate, and the ratio of this area to the boiler heating surface will depend upon the nature of the fuel to be burned, and the stack should be so designed as to give a draft sufficient to burn the maximum amount of fuel per square foot of grate surface corresponding to the maximum evaporative requirements of the boiler.
Solution of a Problem—The stack diameter can be determined from the curve, Fig. 33. The height can be determined by adding the draft losses in the furnace, through the boiler and flues, and computing from formula (30) the height necessary to give this draft.
Example: Proportion a stack for boilers rated at 2000 horse power, equipped with stokers, and burning bituminous coal that will evaporate 8 pounds of water from and at 212 degrees Fahrenheit per pound of fuel; the ratio of boiler heating surface to grate surface being 50:1; the flues being 100 feet long and containing two right-angle turns; the stack to be able to handle overloads of 50 per cent; and the rated horse power of the boilers based on 10 square feet of heating surface per horse power.
The atmospheric temperature may be assumed as 60 degrees Fahrenheit and the flue temperatures at the maximum overload as 550 degrees Fahrenheit. The grate surface equals 400 square feet. The total coal burned at rating = 2000×34½/8 = 8624 pounds. The coal per square foot of grate surface per hour at rating = 8624/400 = 22 pounds.
The atmospheric temperature may be assumed as 60 degrees Fahrenheit and the flue temperatures at the maximum overload as 550 degrees Fahrenheit. The grate surface equals 400 square feet.
For 50 per cent overload the combustion rate will be approximately 60 per cent greater than this or 1.60 × 22 = 35 pounds per square foot of grate surface per hour. The furnace draft required for the combustion rate, from the curve, Fig. 34, is 0.6 inch. The loss in the boiler will be 0.4 inch, in the flue 0.1 inch, and in the turns 2 × 0.05 = 0.1 inch. The available draft required at the base of the stack is, therefore,
Inches
Boiler
0.4
Furnace
0.6
Flues
0.1
Turns
0.1
–––––
Total
1.2
[Pg 248]
Since the available draft is 80 per cent of the theoretical draft, this draft due to the height required is 1.2 ÷ .8 = 1.5 inch.
The chimney constant for temperatures of 60 degrees Fahrenheit and 550 degrees Fahrenheit is .0071 and from formula (30),
H
=
1.5
–––––––––
.0071
=
211 feet.
Its diameter from curve in Fig. 33 is 96 inches if unlined, and 102 inches inside if lined with masonry. The cross sectional area of the flue should be approximately 70 square feet at the point where the total amount of gas is to be handled, tapering to the boiler farthest from the stack to a size which will depend upon the size of the boiler units used.
Correction in Stack Sizes for Altitudes—It has ordinarily been assumed that a stack height for altitude will be increased inversely as the ratio of the barometric pressure at the altitude to that at sea level, and that the stack diameter will increase inversely as the two-fifths power of this ratio. Such a relation has been based on the assumption of constant draft measured in inches of water at the base of the stack for a given rate of operation of the boilers, regardless of altitude.
If the assumption be made that boilers, flues and furnace remain the same, and further that the increased velocity of a given weight of air passing through the furnace at a higher altitude would have no effect on the combustion, the theory has been advanced[53] that a different law applies.
Under the above assumptions, whenever a stack is working at its maximum capacity at any altitude, the entire draft is utilized in overcoming the various resistances, each of which is proportional to the square of the velocity of the gases. Since boiler areas are fixed, all velocities may be related to a common velocity, say, that within the stack, and all resistances may, therefore, be expressed as proportional to the square of the chimney velocity. The total resistance to flow, in terms of velocity head, may be expressed in terms of weight of a column of external air, the numerical value of such head being independent of the barometric pressure. Likewise the draft of a stack, expressed in height of column of external air, will be numerically independent of the barometric pressure. It is evident, therefore, that if a given boiler plant, with its stack operated with a fixed fuel, be transplanted from sea level to an altitude, assuming the temperatures remain constant, the total draft head measured in height of column of external air will be numerically constant. The velocity of chimney gases will, therefore, remain the same at altitude as at sea level and the weight of gases flowing per second with a fixed velocity will be proportional to the atmospheric density or inversely proportional to the normal barometric pressure.
To develop a given horse power requires a constant weight of chimney gas and air for combustion. Hence, as the altitude is increased, the density is decreased and, for the assumptions given above, the velocity through the furnace, the boiler passes, breeching and flues must be correspondingly greater at altitude than at sea level. The mean velocity, therefore, for a given boiler horse power and constant weight of gases will be inversely proportional to the barometric pressure and the velocity head measured in column of external air will be inversely proportional to the square of the barometric pressure.
For stacks operating at altitude it is necessary not only to increase the height but also the diameter, as there is an added resistance within the stack due to the added [Pg 249] friction from the additional height. This frictional loss can be compensated by a suitable increase in the diameter and when so compensated, it is evident that on the assumptions as given, the chimney height would have to be increased at a ratio inversely proportional to the square of the normal barometric pressure.
In designing a boiler for high altitudes, as already stated, the assumption is usually made that a given grade of fuel will require the same draft measured in inches of water at the boiler damper as at sea level, and this leads to making the stack height inversely as the barometric pressures, instead of inversely as the square of the barometric pressures. The correct height, no doubt, falls somewhere between the two values as larger flues are usually used at the higher altitudes, whereas to obtain the ratio of the squares, the flues must be the same size in each case, and again the effect of an increased velocity of a given weight of air through the fire at a high altitude, on the combustion, must be neglected. In making capacity tests with coal fuel, no difference has been noted in the rates of combustion for a given draft suction measured by a water column at high and low altitudes, and this would make it appear that the correct height to use is more nearly that obtained by the inverse ratio of the barometric readings than by the inverse ratio of the squares of the barometric readings. If the assumption is made that the value falls midway between the two formulae, the error in using a stack figured in the ordinary way by making the height inversely proportional to the barometric readings would differ about 10 per cent in capacity at an altitude of 10,000 feet, which difference is well within the probable variation of the size determined by different methods. It would, therefore, appear that ample accuracy is obtained in all cases by simply making the height inversely proportional to the barometric readings and increasing the diameter so that the stacks used at high altitudes have the same frictional resistance as those used at low altitudes, although, if desired, the stack may be made somewhat higher at high altitudes than this rule calls for in order to be on the safe side.
TABLE 54 STACK CAPACITIES, CORRECTION FACTORS FOR ALTITUDES
Altitude Height in Feet Above Sea Level
Normal Barometer
R Ratio Barometer Reading Sea Level to Altitude
R²
R2/5 Ratio Increase in Stack Diameter
0
30.00
1.000
1.000
1.000
1000
28.88
1.039
1.079
1.015
2000
27.80
1.079
1.064
1.030
3000
26.76
1.121
1.257
1.047
4000
25.76
1.165
1.356
1.063
5000
24.79
1.210
1.464
1.079
6000
23.87
1.257
1.580
1.096
7000
22.97
1.306
1.706
1.113
8000
22.11
1.357
1.841
1.130
9000
21.28
1.410
1.988
1.147
10000
20.49
1.464
2.144
1.165
The increase of stack diameter necessary to maintain the same friction loss is inversely as the two-fifths power of the barometric pressure.
Table 54 gives the ratio of barometric readings of various altitudes to sea level, values for the square of this ratio and values of the two-fifths power of this ratio.
These figures show that the altitude affects the height to a much greater extent than the diameter and that practically no increase in diameter is necessary for altitudes up to 3000 feet.
For high altitudes the increase in stack height necessary is, in some cases, [Pg 250] such as to make the proportion of height to diameter impracticable. The method to be recommended in overcoming, at least partially, the great increase in height necessary at high altitudes is an increase in the grate surface of the boilers which the stack serves, in this way reducing the combustion rate necessary to develop a given power and hence the draft required for such combustion rate.
TABLE 55 STACK SIZES BY KENT’S FORMULA ASSUMING 5 POUNDS OF COAL PER HORSE POWER
Dia- meter Inches
Area Square Feet
Height of Stack in Feet
Side of Equiva- lent Square Stack Inches
Dia- meter Inches
50
60
70
80
90
100
110
125
150
175
Commercial Horse Power
33
5.94
106
115
125
133
141
149
…
…
…
…
30
33
36
7.07
129
141
152
163
173
182
…
…
…
…
32
36
39
8.30
155
169
183
196
208
219
229
245
…
…
35
39
42
9.62
183
200
216
231
245
258
271
289
316
…
38
42
48
12.57
246
269
290
311
330
348
365
389
426
460
43
48
54
15.90
318
348
376
402
427
449
472
503
551
595
48
54
60
19.64
400
437
473
505
536
565
593
632
692
748
54
60
66
23.76
490
537
580
620
658
694
728
776
849
918
59
66
72
28.27
591
646
698
747
792
835
876
934
023
1105
64
72
78
33.18
700
766
828
885
939
990
1038
1107
1212
1310
70
78
84
38.48
818
896
968
1035
1098
1157
1214
1294
1418
1531
75
84
Dia- meter Inches
Area Square Feet
Height of Stack in Feet
Side of Equiva- lent Square Stack Inches
Dia- meter Inches
100
110
125
150
175
200
225
250
Commercial Horse Power
90
44.18
1338
1403
1496
1639
1770
1893
2008
2116
80
90
96
50.27
1532
1606
1713
1876
2027
2167
2298
2423
86
96
102
56.75
1739
1824
1944
2130
2300
2459
2609
2750
91
102
108
63.62
1959
2054
2190
2392
2592
2770
2939
3098
98
108
114
70.88
2192
2299
2451
2685
2900
3100
3288
3466
101
114
120
78.54
2438
2557
2726
2986
3226
3448
3657
3855
107
120
126
86.59
2697
2829
3016
3303
3568
3814
4046
4265
112
126
132
95.03
2970
3114
3321
3637
3929
4200
4455
4696
117
132
144
113.10
3554
3726
3973
4352
4701
5026
5331
5618
128
144
156
132.73
4190
4393
4684
5131
5542
5925
6285
6624
138
156
168
153.94
4878
5115
5454
5974
6454
6899
7318
7713
150
168
Kent’s Stack Tables—Table 55 gives, in convenient form for approximate work, the sizes of stacks and the horse power of boilers which they will serve. This table is a modification of Mr. William Kent’s stack table and is calculated from his formula. Provided no unusual conditions are encountered, it is reliable for the ordinary rates of combustion with bituminous coals. It is figured on a consumption of 5 pounds of coal burned per hour per boiler horse power developed, this figure giving a fairly liberal allowance for the use of poor coal and for a reasonable overload. When the coal used is a low grade bituminous of the Middle or Western States, it is strongly recommended that these sizes be increased materially, such an increase being from 25 [Pg 251] to 60 per cent, depending upon the nature of the coal and the capacity desired. For the coal burned per hour for any size stack given in the table, the values should be multiplied by 5.
A convenient rule for large stacks, 200 feet high and over, is to provide 30 square feet of cross sectional area per 1000 rated horse power.
Stacks for Oil Fuel—The requirements of stacks connected to boilers under which oil fuel is burned are entirely different from those where coal is used. While more attention has been paid to the matter of stack sizes for oil fuel in recent years, there has not as yet been gathered the large amount of experimental data available for use in designing coal stacks.
In the case of oil-fired boilers the loss of draft through the fuel bed is partially eliminated. While there may be practically no loss through any checkerwork admitting air to the furnace when a boiler is new, the areas for the air passage in this checkerwork will in a short time be decreased, due to the silt which is present in practically all fuel oil. The loss in draft through the boiler proper at a given rating will be less than in the case of coal-fired boilers, this being due to a decrease in the volume of the gases. Further, the action of the oil burner itself is to a certain extent that of a forced draft. To offset this decrease in draft requirement, the temperature of the gases entering the stack will be somewhat lower where oil is used than where coal is used, and the draft that a stack of a given height would give, therefore, decreases. The factors as given above, affecting as they do the intensity of the draft, affect directly the height of the stack to be used.
As already stated, the volume of gases from oil-fired boilers being less than in the case of coal, makes it evident that the area of stacks for oil fuel will be less than for coal. It is assumed that these areas will vary directly as the volume of the gases to be handled, and this volume for oil may be taken as approximately 60 per cent of that for coal.
In designing stacks for oil fuel there are two features which must not be overlooked. In coal-firing practice there is rarely danger of too much draft. In the burning of oil, however, this may play an important part in the reduction of plant economy, the influence of excessive draft being more apparent where the load on the plant may be reduced at intervals. The reason for this is that, aside from a slight decrease in temperature at reduced loads, the tendency, due to careless firing, is toward a constant gas flow through the boiler regardless of the rate of operation, with the corresponding increase of excess air at light loads. With excessive stack height, economical operation at varying loads is almost impossible with hand control. With automatic control, however, where stacks are necessarily high to take care of known peaks, under lighter loads this economical operation becomes less difficult. For this reason the question of designing a stack for a plant where the load is known to be nearly a constant is easier than for a plant where the load will vary over a wide range. While great care must be taken to avoid excessive draft, still more care must be taken to assure a draft suction within all parts of the setting under any and all conditions of operation. It is very easily possible to more than offset the economy gained through low draft, by the losses due to setting deterioration, resulting from such lack of suction. Under conditions where the suction is not sufficient to carry off the products of combustion, the action of the heat on the setting brickwork will cause its rapid failure. [Pg 252][Pl 252]
[Pg 253]
TABLE 56 STACK SIZES FOR OIL FUEL ADAPTED FROM C. R. WEYMOUTH’S TABLE (TRANS. A. S. M. E. VOL. 34)
Diameter Inches
Height in Feet Above Boiler Room Floor
80
90
100
120
140
160
33
161
206
233
270
306
315
36
208
253
295
331
363
387
39
251
303
343
399
488
467
42
295
359
403
474
521
557
48
399
486
551
645
713
760
54
519
634
720
847
933
1000
60
657
800
913
1073
1193
1280
66
813
993
1133
1333
1480
1593
72
980
1206
1373
1620
1807
1940
84
1373
1587
1933
2293
2560
2767
96
1833
2260
2587
3087
3453
3740
108
2367
2920
3347
4000
4483
4867
120
3060
3660
4207
5040
5660
6160
It becomes evident, therefore, that the question of stack height for oil-fired boilers is one which must be considered with the greatest of care. The designer, on the one hand, must guard against the evils of excessive draft with the view to plant economy, and, on the other, against the evils of lack of draft from the viewpoint of upkeep cost. Stacks for this work should be proportioned to give ample draft for the maximum overload that a plant will be called upon to carry, all conditions of overload carefully considered. At the same time, where this maximum overload is figured liberally enough to insure a draft suction within the setting under all conditions, care must be taken against the installation of a stack which would give more than this maximum draft.
Figures represent nominal rated horse power. Sizes as given good for 50 per cent overloads.
Based on centrally located stacks, short direct flues and ordinary operating efficiencies.
Table 56 gives the sizes of stacks, and horse power which they will serve for oil fuel. This table is, in modified form, one calculated by Mr. C. R. Weymouth after an exhaustive study of data pertaining to the subject, and will ordinarily give satisfactory results.
Stacks for Blast Furnace Gas Work—For boilers burning blast furnace gas, as in the case of oil-fired boilers, stack sizes as suited for coal firing will have to be modified. The diameter of stacks for this work should be approximately the same as for coal-fired boilers. The volume of gases would be slightly greater than from a coal fire and would decrease the draft with a given stack, but such a decrease due to volume is about offset by an increase due to somewhat higher temperatures in the case of the blast furnace gases.
Records show that with this class of fuel 175 per cent of the rated capacity of a boiler can be developed with a draft at the boiler damper of from 0.75 inch to 1.0 inch, and it is well to limit the height of stacks to one which will give this draft as a maximum. A stack of proper diameter, 130 feet high above the ground, will produce such a draft and this height should ordinarily not be exceeded. Until recently the question of economy in boilers fired with blast furnace gas has not been considered, but, aside from the economical standpoint, excessive draft should be guarded against in order to lower the upkeep cost.
Stacks should be made of sufficient height to produce a draft that will develop the maximum capacity required, and this draft decreased proportionately for loads under the maximum by damper regulation. The amount of gas fed to a boiler for any given rating is a fixed quantity and if a draft in excess of that required for that [Pg 254] particular rate of operation is supplied, economy is decreased and the wear and tear on the setting is materially increased. Excess air which is drawn in, either through or around the gas burners by an excessive draft, will decrease economy, as in any other class of work. Again, as in oil-fired practice, it is essential on the other hand that a suction be maintained within all parts of the setting, in this case not only to provide against setting deterioration but to protect the operators from leakage of gas which is disagreeable and may be dangerous. Aside from the intensity of the draft, a poor mixture of the gas and air or a “laneing” action may lead to secondary combustion with the possibility of dangerous explosions within the setting, may cause a pulsating action within the setting, may increase the exit temperatures to a point where there is danger of burning out damper boxes, and, in general, is hard on the setting. It is highly essential, therefore, that the furnace be properly constructed to meet the draft which will be available.
Stacks for Wood-fired Boilers—For boilers using wood as fuel, there is but little data upon which to base stack sizes. The loss of draft through the bed of fuel will vary over limits even wider than in the case of coal, for in this class of fuel the moisture may run from practically 0.0 per cent to over 60 per cent, and the methods of handling and firing are radically different for the different classes of wood (see chapter on Wood-burning Furnaces). As economy is ordinarily of little importance, high stack temperatures may be expected, and often unavoidably large quantities of excess air are supplied due to the method of firing. In general, it may be stated that for this class of fuel the diameter of stacks should be at least as great as for coal-fired boilers, while the height may be slightly decreased. It is far the best plan in designing a stack for boilers using wood fuel to consider each individual set of conditions that exist, rather than try to follow any general rule.
One factor not to be overlooked in stacks for wood burning is their location. The fine particles of this fuel are often carried unconsumed through the boiler, and where the stack is not on top of the boiler, these particles may accumulate in the base of the stack below the point at which the flue enters. Where there is any air leakage through the base of such a stack, this fuel may become ignited and the stack burned. Where there is a possibility of such action taking place, it is well to line the stack with fire brick for a portion of its height.
[Pg 283]
This increase in the efficiency of the boiler alone with the decrease in the rate at which it is operated, will hold to a point where the radiation of heat from the boiler setting is proportionately large enough to be a governing factor in the total amount of heat absorbed.
The second reason given above for a decrease of boiler efficiency with increase of capacity, viz., the effect of radiant heat, is to a greater extent than the first reason dependent upon a constant furnace temperature. Any increase in this temperature will affect enormously the amount of heat absorbed by radiation, as this absorption will vary as the fourth power of the temperature of the radiating body. In this way it is seen that but a slight increase in furnace temperature will be necessary to bring the proportional part, due to absorption by radiation, of the total heat absorbed, up to its proper proportion at the higher ratings. This factor of furnace temperature more properly belongs to the consideration of furnace efficiency than of boiler efficiency. There is a point, however, in any furnace above which the combustion will be so poor as to actually reduce the furnace temperature and, therefore, the proportion of heat absorbed through radiation by a given amount of exposed heating surface.
Since it is thus true that the efficiency of the boiler considered alone will increase with a decreased capacity, it is evident that if the furnace conditions are constant regardless of the load, that the combined efficiency of boiler and furnace will also decrease with increasing loads. This fact was clearly proven in the tests of the boilers at the Detroit Edison Company.[74] The furnace arrangement of these boilers and the great care with which the tests were run made it possible to secure uniformly good furnace conditions irrespective of load, and here the maximum efficiency was obtained at a point somewhat less than the rated capacity of the boilers.
In some cases, however, and especially in the ordinary operation of the plant, the furnace efficiency will, up to a certain point, increase with an increase in power. This increase in furnace efficiency is ordinarily at a greater rate as the capacity increases than is the decrease in boiler efficiency, with the result that the combined efficiency of boiler and furnace will to a certain point increase with an increase in capacity. This makes the ordinary point of maximum combined efficiency somewhat above the rated capacity of the boiler and in many cases the combined efficiency will be practically a constant over a considerable range of ratings. The features limiting the establishing of the point of maximum efficiency at a high rating are the same as those limiting the amount of grate surface that can be installed under a boiler. The relative efficiency of different combinations of boilers and furnaces at different ratings depends so largely upon the furnace conditions that what might hold for one combination would not for another.
In view of the above, it is impossible to make a statement of the efficiency at different capacities of a boiler and furnace which will hold for any and all conditions. Fig. 40 shows in a general form the relation of efficiency to capacity. This curve has been plotted from a great number of tests, all of which were corrected to bring them to approximately the same conditions. The curve represents test conditions. The efficiencies represented are those which may be secured only under such conditions. The general direction of the curve, however, will be found to hold approximately correct for operating conditions when used only as a guide to what may be expected.
[Pg 284]
Graph of Efficiency
Fig. 40. Approximate Variation of Efficiency with Capacity under Test Conditions
Economical Loads—With the effect of capacity on economy in mind, the question arises as to what constitutes the economical load to be carried. In figuring on the economical load for an individual plant, the broader economy is to be considered, that in which, against the boiler efficiency, there is to be weighed the plant first cost, returns on such investment, fuel cost, labor, capacity, etc., etc. This matter has been widely discussed, but unfortunately such discussion has been largely limited to central power station practice. The power generated in such stations, while representing an enormous total, is by no means the larger proportion of the total power generated throughout the country. The factors determining the economic load for the small plant, however, are the same as in a large, and in general the statements made relative to the question are equally applicable.
The economical rating at which a boiler plant should be run is dependent solely upon the load to be carried by that individual plant and the nature of such load. The economical load for each individual plant can be determined only from the careful study of each individual set of conditions or by actual trial.
The controlling factor in the cost of the plant, regardless of the nature of the load, is the capacity to carry the maximum peak load that may be thrown on the plant under any conditions.
While load conditions, do, as stated, vary in every individual plant, in a broad sense all loads may be grouped in three classes: 1st, the approximately constant 24-hour load; 2nd, the steady 10 or 12-hour load usually with a noonday period of no load; 3rd, the 24-hour variable load, found in central station practice. The economical load at which the boiler may be run will vary with these groups:
1st. For a constant load, 24 hours in the day, it will be found in most cases that, when all features are considered, the most economical load or that at which a given amount of steam can be produced the most cheaply will be considerably over the rated horse power of the boiler. How much above the rated capacity this most economic load will be, is dependent largely upon the cost of coal at the plant, but under ordinary conditions, the point of maximum economy will probably be found to be somewhere [Pg 285] between 25 and 50 per cent above the rated capacity of the boilers. The capital investment must be weighed against the coal saving through increased thermal efficiency and the labor account, which increases with the number of units, must be given proper consideration. When the question is considered in connection with a plant already installed, the conditions are different from where a new plant is contemplated. In an old plant, where there are enough boilers to operate at low rates of capacity, the capital investment leads to a fixed charge, and it will be found that the most economical load at which boilers may be operated will be lower than where a new plant is under consideration.
2nd. For a load of 10 or 12 hours a day, either an approximately steady load or one in which there is a peak, where the boilers have been banked over night, the capacity at which they may be run with the best economy will be found to be higher than for uniform 24-hour load conditions. This is obviously due to original investment, that is, a given amount of invested capital can be made to earn a larger return through the higher overload, and this will hold true to a point where the added return more than offsets the decrease in actual boiler efficiency. Here again the determining factors of what is the economical load are the fuel and labor cost balanced against the thermal efficiency. With a load of this character, there is another factor which may affect the economical plant operating load. This is from the viewpoint of spare boilers. That such added capacity in the way of spares is necessary is unquestionable. Since they must be installed, therefore, their presence leads to a fixed charge and it is probable that for the plant, as a whole, the economical load will be somewhat lower than if the boilers were considered only as spares. That is, it may be found best to operate these spares as a part of the regular equipment at all times except when other boilers are off for cleaning and repairs, thus reducing the load on the individual boilers and increasing the efficiency. Under such conditions, the added boiler units can be considered as spares only during such time as some of the boilers are not in operation.
Due to the operating difficulties that may be encountered at the higher overloads, it will ordinarily be found that the most economical ratings at which to run boilers for such load conditions will be between 150 and 175 per cent of rating. Here again the maximum capacity at which the boilers may be run for the best plant economy is limited by the point at which the efficiency drops below what is warranted in view of the first cost of the apparatus.
3rd. The 24-hour variable load. This is a class of load carried by the central power station, a load constant only in the sense that there are no periods of no load and which varies widely with different portions of the 24 hours. With such a load it is particularly difficult to make any assertion as to the point of maximum economy that will hold for any station, as this point is more than with any other class of load dependent upon the factors entering into the operation of each individual plant.
The methods of handling a load of this description vary probably more than with any other kind of load, dependent upon fuel, labor, type of stoker, flexibility of combined furnace and boiler etc., etc.
In general, under ordinary conditions such as appear in city central power station work where the maximum peaks occur but a few times a year, the plant should be made of such size as to enable it to carry these peaks at the maximum possible overload on the boilers, sufficient margin of course being allowed for insurance against interruption of [Pg 286][Pl 286] [Pg 287] service. With the boilers operating at this maximum overload through the peaks a large sacrifice in boiler efficiency is allowable, provided that by such sacrifice the overload expected is secured.
Some methods of handling a load of this nature are given below:
Certain plant operating conditions make it advisable, from the standpoint of plant economy, to carry whatever load is on the plant at any time on only such boilers as will furnish the power required when operating at ratings of, say, 150 to 200 per cent. That is, all boilers which are in service are operated at such ratings at all times, the variation in load being taken care of by the number of boilers on the line. Banked boilers are cut in to take care of increasing loads and peaks and placed again on bank when the peak periods have passed. It is probable that this method of handling central station load is to-day the most generally used.
Other conditions of operation make it advisable to carry the load on a definite number of boiler units, operating these at slightly below their rated capacity during periods of light or low loads and securing the overload capacity during peaks by operating the same boilers at high ratings. In this method there are no boilers kept on banked fires, the spares being spares in every sense of the word.
A third method of handling widely varying loads which is coming somewhat into vogue is that of considering the plant as divided, one part to take care of what may be considered the constant plant load, the other to take care of the floating or variable load. With such a method that portion of the plant carrying the steady load is so proportioned that the boilers may be operated at the point of maximum efficiency, this point being raised to a maximum through the use of economizers and the general installation of any apparatus leading to such results. The variable load will be carried on the remaining boilers of the plant under either of the methods just given, that is, at the high ratings of all boilers in service and banking others, or a variable capacity from all boilers in service.
The opportunity is again taken to indicate the very general character of any statements made relative to the economical load for any plant and to emphasize the fact that each individual case must be considered independently, with the conditions of operations applicable thereto.
With a thorough understanding of the meaning of boiler efficiency and capacity and their relation to each other, it is possible to consider more specifically the selection of boilers.
The foremost consideration is, without question, the adaptability of the design selected to the nature of the work to be done. An installation which is only temporary in its nature would obviously not warrant the first cost that a permanent plant would. If boilers are to carry an intermittent and suddenly fluctuating load, such as a hoisting load or a reversing mill load, a design would have to be selected that would not tend to prime with the fluctuations and sudden demand for steam. A boiler that would give the highest possible efficiency with fuel of one description, would not of necessity give such efficiency with a different fuel. A boiler of a certain design which might be good for small plant practice would not, because of the limitations in practicable size of units, be suitable for large installations. A discussion of the relative value of designs can be carried on almost indefinitely but enough has been said to indicate that a given design will not serve satisfactorily under all conditions and that the adaptability to the service required will be dependent upon the fuel available, the class of labor procurable, the feed water that must be used, the nature of the plant’s load, the size of the plant and the first cost warranted by the service the boiler is to fulfill.
[Pg 288]
TABLE 60 ACTUAL EVAPORATION FOR DIFFERENT PRESSURES AND TEMPERATURES OF FEED WATER CORRESPONDING TO ONE HORSE POWER (34½ POUNDS PER HOUR FROM AND AT 212 DEGREES FAHRENHEIT)
Temperature of Feed Degrees Fahrenheit
Pressure by Gauge—Pounds per Square Inch
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200
210
220
230
240
250
32
28.41
28.36
28.29
28.24
28.20
28.16
28.13
28.09
28.07
28.04
28.02
27.99
27.97
27.95
27.94
27.92
27.90
27.89
27.87
27.86
27.83
40
28.61
28.54
28.49
28.44
28.40
28.35
28.32
28.29
28.26
28.23
28.21
28.18
28.16
28.14
28.12
28.11
28.09
28.07
28.06
28.05
28.03
50
28.85
28.79
28.73
28.68
28.64
28.60
28.56
28.53
28.50
28.47
28.45
28.43
28.40
28.38
28.36
28.35
28.33
28.31
28.30
28.28
28.27
60
29.10
29.04
28.98
28.93
28.88
28.84
28.81
28.77
28.74
28.72
28.69
28.67
28.65
28.62
28.60
28.59
28.57
28.55
28.54
28.52
28.51
70
29.36
29.29
29.23
29.18
29.14
29.09
29.06
29.02
28.99
28.96
28.94
28.92
28.89
28.87
28.85
28.83
28.82
28.80
28.78
28.77
28.76
80
29.62
29.55
29.49
29.44
29.39
29.35
29.31
29.27
29.24
29.22
29.19
29.17
29.14
29.12
29.10
29.08
29.07
29.05
29.03
29.02
29.00
90
29.88
29.81
29.75
29.70
29.65
29.61
29.57
29.53
29.50
29.47
29.45
29.42
29.40
29.38
29.36
29.34
29.32
29.30
29.29
29.27
29.25
100
30.15
30.08
30.02
29.96
29.91
29.87
29.83
29.80
29.76
29.73
29.71
29.68
29.66
29.63
29.61
29.60
29.58
29.56
29.54
29.53
29.51
110
30.42
30.35
30.29
30.23
30.18
30.14
30.10
30.06
30.03
30.00
29.97
29.95
29.92
29.90
29.88
29.86
29.84
29.82
29.81
29.79
29.77
120
30.70
30.63
30.56
30.51
30.46
30.41
30.37
30.33
30.30
30.27
30.24
30.22
30.19
30.17
30.15
30.13
30.11
30.09
30.07
30.06
30.04
130
30.99
30.91
30.84
30.79
30.73
30.69
30.65
30.61
30.57
30.54
30.52
30.49
30.47
30.44
30.42
30.40
30.38
30.36
30.35
30.33
30.31
140
31.28
31.20
31.13
31.07
31.02
30.97
30.93
30.89
30.86
30.83
30.80
30.77
30.75
30.72
30.70
30.68
30.66
30.64
30.62
30.61
30.59
150
31.58
31.49
31.42
31.36
31.31
31.26
31.22
31.18
31.14
31.11
31.08
31.06
31.03
31.01
30.98
30.96
30.94
30.92
30.91
30.89
30.87
160
31.87
31.79
31.72
31.66
31.61
31.56
31.51
31.47
31.44
31.40
31.37
31.35
31.32
31.29
31.27
31.25
31.23
31.21
31.19
31.18
31.16
170
32.18
32.10
32.02
31.96
31.91
31.86
31.81
31.77
31.73
31.70
31.67
31.64
31.62
31.59
31.57
31.54
31.52
31.50
31.49
31.47
31.46
180
32.49
32.41
32.33
32.27
32.22
32.16
32.12
32.08
32.04
32.00
31.97
31.95
31.92
31.89
31.87
31.84
31.82
31.80
31.79
31.77
31.75
190
32.81
32.72
32.65
32.59
32.53
32.47
32.43
32.38
32.35
32.32
32.29
32.26
32.23
32.20
32.17
32.15
32.13
32.11
32.09
32.07
32.05
200
33.13
33.05
32.97
32.91
32.85
32.79
32.75
32.70
32.66
32.63
32.60
32.57
32.54
32.51
32.49
32.46
32.44
32.42
32.40
32.38
32.36
210
33.47
33.38
33.30
33.24
33.18
33.13
33.08
33.03
32.99
32.95
32.92
32.89
32.86
32.83
32.81
32.79
32.76
32.74
32.72
32.70
32.68
[Pg 289]
The proper consideration can be given to the adaptability of any boiler for the service in view only after a thorough understanding of the requirements of a good steam boiler, with the application of what has been said on the proper operation to the special requirements of each case. Of almost equal importance to the factors mentioned are the experience, the skill and responsibility of the manufacturer.
With the design of boiler selected that is best adapted to the service required, the next step is the determination of the boiler power requirements.
The amount of steam that must be generated is determined from the steam consumption of the prime movers. It has already been indicated that such consumption can vary over wide limits with the size and type of the apparatus used, but fortunately all types have been so tested that manufacturers are enabled to state within very close limits the actual consumption under any given set of conditions. It is obvious that conditions of operation will have a bearing on the steam consumption that is as important as the type and size of the apparatus itself. This being the case, any tabular information that can be given on such steam consumption, unless it be extended to an impracticable size, is only of use for the most approximate work and more definite figures on this consumption should in all cases be obtained from the manufacturer of the apparatus to be used for the conditions under which it will operate.
To the steam consumption of the main prime movers, there is to be added that of the auxiliaries. Again it is impossible to make a definite statement of what this allowance should be, the figure depending wholly upon the type and the number of such auxiliaries. For approximate work, it is perhaps best to allow 15 or 20 per cent of the steam requirements of the main engines, for that of auxiliaries. Whatever figure is used should be taken high enough to be on the conservative side.
When any such figures are based on the actual weight of steam required, Table 60, which gives the actual evaporation for various pressures and temperatures of feed corresponding to one boiler horse power (34.5 pounds of water per hour from and at 212 degrees), may be of service.
With the steam requirements known, the next step is the determination of the number and size of boiler units to be installed. This is directly affected by the capacity at which a consideration of the economical load indicates is the best for the operating conditions which will exist. The other factors entering into such determination are the size of the plant and the character of the feed water.
The size of the plant has its bearing on the question from the fact that higher efficiencies are in general obtained from large units, that labor cost decreases with the number of units, the first cost of brickwork is lower for large than for small size units, a general decrease in the complication of piping, etc., and in general the cost per horse power of any design of boiler decreases with the size of units. To illustrate this, it is only necessary to consider a plant of, say, 10,000 boiler horse power, consisting of 40-250 horse-power units or 17-600 horse-power units.
The feed water available has its bearing on the subject from the other side, for it has already been shown that very large units are not advisable where the feed water is not of the best.
[Pg 290]
The character of an installment is also a factor. Where, say, 1000 horse power is installed in a plant where it is known what the ultimate capacity is to be, the size of units should be selected with the idea of this ultimate capacity in mind rather than the amount of the first installation.
Boiler service, from its nature, is severe. All boilers have to be cleaned from time to time and certain repairs to settings, etc., are a necessity. This makes it necessary, in determining the number of boilers to be installed, to allow a certain number of units or spares to be operated when any of the regular boilers must be taken off the line. With the steam requirements determined for a plant of moderate size and a reasonably constant load, it is highly advisable to install at least two spare boilers where a continuity of service is essential. This permits the taking off of one boiler for cleaning or repairs and still allows a spare boiler in the event of some unforeseen occurrence, such as the blowing out of a tube or the like. Investment in such spare apparatus is nothing more nor less than insurance on the necessary continuity of service. In small plants of, say, 500 or 600 horse power, two spares are not usually warranted in view of the cost of such insurance. A large plant is ordinarily laid out in a number of sections or panels and each section should have its spare boiler or boilers even though the sections are cross connected. In central station work, where the peaks are carried on the boilers brought up from the bank, such spares are, of course, in addition to these banked boilers. From the aspect of cleaning boilers alone, the number of spare boilers is determined by the nature of any scale that may be formed. If scale is formed so rapidly that the boilers cannot be kept clean enough for good operating results, by cleaning in rotation, one at a time, the number of spares to take care of such proper cleaning will naturally increase.
In view of the above, it is evident that only a suggestion can be made as to the number and size of units, as no recommendation will hold for all cases. In general, it will be found best to install units of the largest possible size compatible with the size of the plant and operating conditions, with the total power requirements divided among such a number of units as will give proper flexibility of load, with such additional units for spares as conditions of cleaning and insurance against interruption of service warrant.
In closing the subject of the selection of boilers, it may not be out of place to refer to the effect of the builder’s guarantee upon the determination of design to be used. Here in one of its most important aspects appears the responsibility of the manufacturer. Emphasis has been laid on the difference between test results and those secured in ordinary operating practice. That such a difference exists is well known and it is now pretty generally realized that it is the responsible manufacturer who, where guarantees are necessary, submits the conservative figures, figures which may readily be exceeded under test conditions and which may be closely approached under the ordinary plant conditions that will be met in daily operation.
Draft Gauges—The ordinary form of draft gauge, Fig. 35, which consists of a U-tube, containing water, lacks sensitiveness in measuring such slight pressure differences as usually exist, and for that reason gauges which multiply the draft indications are more convenient and are much used.
An instrument which has given excellent results is one introduced by Mr. G. H. Barrus, which multiplies the ordinary indications as many times as desired. This is illustrated in Fig. 36, and consists of a U-tube made of one-half inch glass, surmounted by two larger tubes, or chambers, each having a diameter of 2½ inches. Two different liquids which will not mix, and which are of different color, are used, usually alcohol colored red and a certain grade of lubricating oil. [Pg 255] The movement of the line of demarcation is proportional to the difference in the areas of the chambers and the U-tube connecting them. The instrument is calibrated by comparison with the ordinary U-tube gauge.
In the Ellison form of gauge the lower portion of the ordinary U-tube has been replaced by a tube slightly inclined to the horizontal, as shown in Fig. 37. By this arrangement any vertical motion in the right-hand upright tube causes a very much greater travel of the liquid in the inclined tube, thus permitting extremely small variation in the intensity of the draft to be read with facility.
Ellison Draft Gauge
Fig. 37. Ellison Draft Gauge
The gauge is first leveled by means of the small level attached to it, both legs being open to the atmosphere. The liquid is then adjusted until its meniscus rests at the zero point on the left. The right-hand leg is then connected to the source of draft by means of a piece of rubber tubing. Under these circumstances, a rise of level of one inch in the right-hand vertical tube causes the meniscus in the inclined tube to pass from the point 0 to 1.0. The scale is divided into tenths of an inch, and the sub-divisions are hundredths of an inch.
Peabody Draft Gauge
Fig. 38. Peabody Draft Gauge
The makers furnish a non-drying oil for the liquid, usually a 300 degrees test refined petroleum.
A very convenient form of the ordinary U-tube gauge is known as the Peabody gauge, and it is shown in Fig. 38. This is a small modified U-tube with a sliding scale between the two legs of the U and with connections such that either a draft suction or a draft pressure may be taken. The tops of the sliding pieces extending across the tubes are placed at the bottom of the meniscus and accurate readings in hundredths of an inch are obtained by a vernier.
TABLE 39 SHOWING RELATION BETWEEN PROXIMATE AND ULTIMATE ANALYSES OF COAL
State
Field or Bed
Mine
Proximate Analysis
Ultimate Analysis
Common in Proximate & Ultimate Analysis
Volatile Matter
Fixed Carbon
Carbon
Hydrogen
Oxygen
Nitrogen
Sulphur
Ash
Moisture
Ala.
Horse Creek
Icy Coal & Iron Co., No. 8
31.81
53.90
72.02
4.78
6.45
1.66
.80
14.29
2.56
Ark.
Huntington
Central C. & C. Co., No. 3
18.99
67.71
76.37
3.90
3.71
1.49
1.23
13.30
1.99
Ill.
Pana or No. 5
Clover Leaf, No. 1
37.22
45.64
63.04
4.49
10.04
1.28
4.01
17.14
13.19
Ind.
No. 5, Warrick Co.
Electric
41.85
44.45
68.08
4.78
7.56
1.35
4.53
13.70
9.11
Ky.
No. 11, Hopkins Co.
St. Bernard, No. 11
41.10
49.60
72.22
5.06
8.44
1.33
3.65
9.30
7.76
Pa.
"B" or Lower Kittanning
Eureka, No. 31
16.71
77.22
84.45
4.25
3.04
1.28
.91
6.07
.56
Pa.
Indiana Co.
29.55
62.64
79.86
5.02
4.27
1.86
1.18
7.81
2.90
W. Va.
Fire Creek
Rush Run
22.87
71.56
83.71
4.64
3.67
1.70
.71
5.57
2.14
Table 39 gives for comparison the ultimate and proximate analyses of certain of the coals with which tests were made in the coal testing plant of the United States Geological Survey at the Louisiana Purchase Exposition at St. Louis.
The heating value of a fuel cannot be directly computed from a proximate analysis, due to the fact that the volatile content varies widely in different fuels in composition and in heating value.
Some methods have been advanced for estimating the calorific value of coals from the proximate analysis. William Kent[38] deducted from Mahler’s tests of European coals the approximate heating value dependent upon the content of fixed carbon in the combustible. The relation as deduced by Kent between the heat and value per pound of combustible and the per cent of fixed carbon referred to combustible is represented graphically by Fig. 23.
Goutal gives another method of determining the heat value from a proximate analysis, in which the carbon is given a fixed value and the heating value of the volatile matter is considered as a function of its percentage referred to combustible. Goutal’s method checks closely with Kent’s determinations.
All the formulae, however, for computing the calorific value of coals from a proximate analysis are ordinarily limited to certain classes of fuels. Mr. Kent, for instance, states that his deductions are correct within a close limit for fuels containing more than 60 per cent of fixed carbon in the combustible, while for those containing a lower percentage, the error may be as great as 4 per cent, either high or low.
While the use of such computations will serve where approximate results only are required, that they are approximate should be thoroughly understood.
Calorimetry—An ultimate or a proximate analysis of a fuel is useful in [Pg 184] determining its general characteristics, and as described on page 183, may be used in the calculation of the approximate heating value. Where the efficiency of a boiler is to be computed, however, this heating value should in all instances be determined accurately by means of a fuel calorimeter.
Graph of Heat Value
Fig. 23. Graphic Representation of Relation between Heat Value Per Pound of Combustible and Fixed Carbon in Combustible as Deduced by Wm. Kent.
In such an apparatus the fuel is completely burned and the heat generated by such combustion is absorbed by water, the amount of heat being calculated from the elevation in the temperature of the water. A calorimeter which has been accepted as the best for such work is one in which the fuel is burned in a steel bomb filled with compressed oxygen. The function of the oxygen, which is ordinarily under a pressure of about 25 atmospheres, is to cause the rapid and complete combustion of the fuel sample. The fuel is ignited by means of an electric current, allowance being made for the heat produced by such current, and by the burning of the fuse wire.
A calorimeter of this type which will be found to give satisfactory results is that of M. Pierre Mahler, illustrated in Fig. 24 and consisting of the following parts:
A water jacket A, which maintains constant conditions outside of the calorimeter proper, and thus makes possible a more accurate computation of radiation losses.
The porcelain lined steel bomb B, in which the combustion of the fuel takes place in compressed oxygen.
Mahler Bomb Calorimeter
Fig. 24. Mahler Bomb Calorimeter
[Pg 185]
The platinum pan C, for holding the fuel.
The calorimeter proper D, surrounding the bomb and containing a definite weighed amount of water.
An electrode E, connecting with the fuse wire F, for igniting the fuel placed in the pan C.
A support G, for a water agitator.
A thermometer I, for temperature determination of the water in the calorimeter. The thermometer is best supported by a stand independent of the calorimeter, so that it may not be moved by tremors in the parts of the calorimeter, which would render the making of readings difficult. To obtain accuracy of readings, they should be made through a telescope or eyeglass.
A spring and screw device for revolving the agitator.
A lever L, by the movement of which the agitator is revolved.
A pressure gauge M, for noting the amount of oxygen admitted to the bomb. Between 20 and 25 atmospheres are ordinarily employed.
An oxygen tank O.
A battery or batteries P, the current from which heats the fuse wire used to ignite the fuel.
This or a similar calorimeter is used in the determination of the heat of combustion of solid or liquid fuels. Whatever the fuel to be tested, too much importance cannot be given to the securing of an average sample. Where coal is to be tested, tests should be made from a portion of the dried and pulverized laboratory sample, the methods of obtaining which have been described. In considering the methods of calorimeter determination, the remarks applied to coal are equally applicable to any solid fuel, and such changes in methods as are necessary for liquid fuels will be self-evident from the same description.
Approximately one gram of the pulverized dried coal sample should be placed directly in the pan of the calorimeter. There is some danger in the using of a pulverized sample from the fact that some of it may be blown out of the pan when oxygen is admitted. This may be at least partially overcome by forming about two grams into a briquette by the use of a cylinder equipped with a plunger and a screw press. Such a briquette should be broken and approximately one gram used. If a pulverized sample is used, care should be taken to admit oxygen slowly to prevent blowing the coal out of the pan. The weight of the sample is limited to approximately one gram since the calorimeter is proportioned for the combustion of about this weight when under an oxygen pressure of about 25 atmospheres.
A piece of fine iron wire is connected to the lower end of the plunger to form a fuse for igniting the sample. The weight of iron wire used is determined, and if after combustion a portion has not been burned, the weight of such portion is determined. In placing the sample in the pan, and in adjusting the fuse, the top of the calorimeter is removed. It is then replaced and carefully screwed into place on the bomb by means of a long handled wrench furnished for the purpose.
The bomb is then placed in the calorimeter, which has been filled with a definite amount of water. This weight is the “water equivalent” of the apparatus, i. e., the weight of water, the temperature of which would be increased one degree for an equivalent increase in the temperature of the combined apparatus. It may be determined by calculation from the weights and specific heats of the various parts of [Pg 186] the apparatus. Such a determination is liable to error, however, as the weight of the bomb lining can only be approximated, and a considerable portion of the apparatus is not submerged. Another method of making such a determination is by the adding of definite weights of warm water to definite amounts of cooler water in the calorimeter and taking an average of a number of experiments. The best method for the making of such a determination is probably the burning of a definite amount of resublimed naphthaline whose heat of combustion is known.
The temperature of the water in the water jacket of the calorimeter should be approximately that of the surrounding atmosphere. The temperature of the weighed amount of water in the calorimeter is made by some experimenters slightly greater than that of the surrounding air in order that the initial correction for radiation will be in the same direction as the final correction. Other experimenters start from a temperature the same or slightly lower than the temperature of the room, on the basis that the temperature after combustion will be slightly higher than the room temperature and the radiation correction be either a minimum or entirely eliminated.
While no experiments have been made to show conclusively which of these methods is the better, the latter is generally used.
After the bomb has been placed in the calorimeter, it is filled with oxygen from a tank until the pressure reaches from 20 to 25 atmospheres. The lower pressure will be sufficient in all but exceptional cases. Connection is then made to a current from the dry batteries in series so arranged as to allow completion of the circuit with a switch. The current from a lighting system should not be used for ignition, as there is danger from sparking in burning the fuse, which may effect the results. The apparatus is then ready for the test.
Unquestionably the best method of taking data is by the use of co-ordinate paper and a plotting of the data with temperatures and time intervals as ordinates and abscissae. Such a graphic representation is shown in Fig. 25.
Graph of Calorimeter Results
Fig. 25. Graphic Method of Recording Bomb Calorimeter Results
After the bomb is placed in the calorimeter, and before the coal is ignited, readings of the temperature of the water should be taken at one minute intervals for a period long enough to insure a constant rate of change, and in this way determine the initial radiation. The coal is then ignited by completing the circuit, the temperature at the instant the circuit is closed being considered the temperature at the beginning of the combustion. After ignition the readings should be taken at one-half minute intervals, though because of the rapidity of the mercury’s rise approximate readings only may be possible for at least a minute after the firing, such readings, however, being sufficiently accurate for this period. The one-half minute readings should be taken [Pg 187] after ignition for five minutes, and for, say, five minutes longer at minute intervals to determine accurately the final rate of radiation.
Fig. 25 shows the results of such readings, plotted in accordance with the method suggested. It now remains to compute the results from this plotted data.
The radiation correction is first applied. Probably the most accurate manner of making such correction is by the use of Pfaundler’s method, which is a modification of that of Regnault. This assumes that in starting with an initial rate of radiation, as represented by the inclination of the line AB, Fig. 25, and ending with a final radiation represented by the inclination of the line CD, Fig. 25, that the rate of radiation for the intermediate temperatures between the points B and C are proportional to the initial and final rates. That is, the rate of radiation at a point midway between B and C will be the mean between the initial and final rates; the rate of radiation at a point three-quarters of the distance between B and C would be the rate at B plus three-quarters of the difference in rates at B and C, etc. This method differs from Regnault’s in that the radiation was assumed by Regnault to be in each case proportional to the difference in temperatures between the water of the calorimeter and the surrounding air plus a constant found for each experiment. Pfaundler’s method is more simple than that of Regnault, and the results by the two methods are in practical agreement.
Expressed as a formula, Pfaundler’s method is, though not in form given by him:
C
=
N
(
R
+
R' - R
––––––––––
T' - T
(
T" - T
)
)
(19)
Where
C
=
correction in degree centigrade,
N
=
number of intervals over which correction is made,
R
=
initial radiation in degrees per interval,
R'
=
final radiation in degrees per interval,
T
=
average temperature for period through which initial radiation is computed,
T"
=
average temperature over period of combustion[39],
T'
=
average temperature over period through which final radiation is computed.[39]
The application of this formula to Fig. 25 is as follows:
As already stated, the temperature at the beginning of combustion is the reading just before the current is turned on, or B in Fig. 25. The point C or the temperature at which combustion is presumably completed, should be taken at a point which falls well within the established final rate of radiation, and not at the maximum temperature that the thermometer indicates in the test, unless it lies on the straight line determining the final radiation. This is due to the fact that in certain instances local conditions will cause the thermometer to read higher than it should during the time that the bomb is transmitting heat to the water rapidly, and at other times the maximum temperature might be lower than that which would be indicated were readings to be taken at intervals of less than one-half minute, i. e., the point of maximum temperature will fall below the line determined by the final rate of radiation. With this understanding AB, Fig. 25, represents the time of initial radiation, BC the time of [Pg 188] combustion, and CD the time of final radiation. Therefore to apply Pfaundler’s correction, formula (19), to the data as represented by Fig. 25.
Pfaundler’s formula while simple is rather long. Mr. E. H. Peabody has devised a simpler formula with which, under proper conditions, the variation from correction as found by Pfaundler’s method is negligible.
It was noted throughout an extended series of calorimeter tests that the maximum temperature was reached by the thermometer slightly over one minute after the time of firing. If this period between the time of firing and the maximum temperature reported was exactly one minute, the radiation through this period would equal the radiation per one-half minute before firing plus the radiation per one-half minute after the maximum temperature is reached; or, the radiation through the one minute interval would be the average of the radiation per minute before firing and the radiation per minute after the maximum. A plotted chart of temperatures would take the form of a curve of three straight lines (B, C', D) in Fig. 25. Under such conditions, using the notation as in formula (19) the correction would become,
C
=
2R + 2R'
–––––––––––––––
2
+
(
N - 2
)
R',
or R
+
(N - 1)R'
(20)
This formula may be generalized for conditions where the maximum temperature is reached after a period of more than one minute as follows:
Let M = the number of intervals between the time of firing and the maximum temperature. Then the radiation through this period will be an average of the radiation for M intervals before firing and for M intervals after the maximum is recorded, or
C
=
MR + MR'
–––––––––––––––––
2
+
(
N - M
)
R'
=
M
––––
2
R
+
(
N
-
M
––––
2
)
R'
(21)
In the case of Mr. Peabody’s deductions M was found to be approximately 2 and formula (21) becomes directly, C = R + (N - 1)R' or formula (20).
The corrections to be made, as secured by the use of this formula, are very close to those secured by Pfaundler’s method, where the point of maximum temperature is not more than five intervals later than the point of firing. Where a longer period than this is indicated in the chart of plotted temperatures, the approximate formula should not be used. As the period between firing and the maximum temperature is increased, the plotted results are further and further away from the theoretical straight line curve. Where this period is not over five intervals, or two and a half minutes, an approximation of the straight line curve may be plotted by eye, and ordinarily the radiation correction to be applied may be determined very closely from such an approximated curve.
Peabody’s approximate formula has been found from a number of tests to give results within .003 degrees Fahrenheit for the limits within which its application holds [Pg 189] good as described. The value of M, which is not necessarily a whole number, should be determined for each test, though in all probability such a value is a constant for any individual calorimeter which is properly operated.
The correction for radiation as found on page 188 is in all instances to be added to the range of temperature between the firing point and the point chosen from which the final radiation is calculated. This corrected range multiplied by the water equivalent of the calorimeter gives the heat of combustion in calories of the coal burned in the calorimeter together with that evolved by the burning of the fuse wire. The heat evolved by the burning of the fuse wire is found from the determination of the actual weight of wire burned and the heat of combustion of one milligram of the wire (1.7 calories), i. e., multiply the weight of wire used by 1.7, the result being in gram calories or the heat required to raise one gram of water one degree centigrade.
Other small corrections to be made are those for the formation of nitric acid and for the combustion of sulphur to sulphuric acid instead of sulphur dioxide, due to the more complete combustion in the presence of oxygen than would be possible in the atmosphere.
To make these corrections the bomb of the calorimeter is carefully washed out with water after each test and the amount of acid determined from titrating this water with a standard solution of ammonia or of caustic soda, all of the acid being assumed to be nitric acid. Each cubic centimeter of the ammonia titrating solution used is equivalent to a correction of 2.65 calories.
As part of acidity is due to the formation of sulphuric acid, a further correction is necessary. In burning sulphuric acid the heat evolved per gram of sulphur is 2230 calories in excess of the heat which would be evolved if the sulphur burned to sulphur dioxide, or 22.3 calories for each per cent of sulphur in the coal. One cubic centimeter of the ammonia solution is equivalent to 0.00286 grams of sulphur as sulphuric acid, or to 0.286 × 22.3 = 6.38 calories. It is evident therefore that after multiplying the number of cubic centimeters used in titrating by the heat factor for nitric acid (2.65) a further correction of 6.38 - 2.65 = 3.73 is necessary for each cubic centimeter used in titrating sulphuric instead of nitric acid. This correction will be 3.73/0.297 = 13 units for each 0.01 gram of sulphur in the coal.
The total correction therefore for the aqueous nitric and sulphuric acid is found by multiplying the ammonia by 2.65 and adding 13 calories for each 0.01 gram of sulphur in the coal. This total correction is to be deducted from the heat value as found from the corrected range and the amount equivalent to the calorimeter.
After each test the pan in which the coal has been burned must be carefully examined to make sure that all of the sample has undergone complete combustion. The presence of black specks ordinarily indicates unburned coal, and often will be found where the coal contains bone or slate. Where such specks are found the tests should be repeated. In testing any fuel where it is found difficult to completely consume a sample, a weighed amount of naphthaline may be added, the total weight of fuel and naphthaline being approximately one gram. The naphthaline has a known heat of combustion, samples for this purpose being obtainable from the United States Bureau of Standards, and from the combined heat of combustion of the fuel and naphthaline that of the former may be readily computed.
The heat evolved in burning of a definite weight of standard naphthaline may also be used as a means of calibrating the calorimeter as a whole.
[38] See “Steam Boiler Economy”, page 47, First Edition.
[39] To agree with Pfaundler’s formula the end ordinates should be given half values in determining T", i. e., T" = ((Temp. at B + Temp. at C) ÷ 2 + Temp. all other ordinates) ÷ N