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American Society of Heating and Ventilating Engineers Guide, 1934
corresponding height and diameter can then be determined from Equa tions 6 and 7, respectively, and the economical size will then be attained. Equations 6, 7 and 9 may be simplified considerably for average operating conditions in an average size steam plant by assuming the following conditions:
Average chimney gas temperature, 500 F..... ....................... Tc = 960
Mean atmospheric temperature, 62 F.... ................................ T0 = 522
Average coefficient of friction, 0.016............................................/ = 0.016
Average chimney gas density, 0.09........
Wc = 0.09
Sea level elevation with barometer of 29.92........
Ba = 29.92
Substituting these values in Equations 9, 7 and 6, respectively, and reducing:
Ve = 13.7W1/S
(10)
. D = 1.5W'2/5
(U)
H = 190Z>r
, (12)
Fig. 7 gives the economical chimney sizes for various amounts of gases flowing and for required draft intensities as computed from Equations 10, 11 and 12. They are based on the operating factors used in reducing Equations 6, 7 and 9 to their simpler form. The sizes shown by the curves in the chart should be used for general operating conditions only, or for installations where the required data necessary for an exact deter mination are difficult or impossible to secure. Whenever it is possible to secure accurate data, or the anticipated operating conditions are fairly well known, the required size should be determined from Equations 6; 7 and 9. The recommended minimum inside dimensions and heights of chimneys for small and medium size installations are given in Table 1.
GENERAL EQUATION
The general draft equation for a steam producing plant may be stated as follows:
Dt -- hi = hp + Ab + *Bd + he + hBr + hv + ho + He + Hr
(13)
where
Dt = theoretical draft intensity created by pressure transformer, inches of water. hi = draft loss due to friction in pressure transformer, inches of water. hp -- draft loss through the fuel bed, inches of water. Ab = draft loss through the boiler and setting, inches of water. ... /iBr = draft loss through the breeching, inches of water: hv = draft loss due to velocity, inches of water. ABd = draft loss due to bends, inches of water. Ac = draft loss due to contraction of opening, inches of water. ho = draft loss due to enlargement of opening, inches of water. Ae = draft loss through the economizer, inches of water. Ar = draft loss through recuperators, regenerators or air heaters, inches of water.
The left hand member of Equation 13 represents the total amount of available.draft created by the pressure transformer, that is, the natural
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Chapter 26--Chimneys
Table 1. Recommended Minimum Chimney Sizes for Heating Boilers and Furnaces f
Warm Air Furnace Capacity inSqIn.
op Leader Pipe
Steam Boiler Capacitt Sq Ft op Radi
ation
790
1000
590 690 900 900
1,100
1,700 1,940 2,130 2,480 3,150 4,300 4,600 5,000 5,570 5,580 6,980 7,270 8,700 9,380 10,150 10,470
Hot Water Heater Capacitt 8q Ft op Radi
ation
Nominal Dimen
sions op
Fire Clat Lining
in Inches
' Rectangular Flub
Actual Inside Dimensions
of Fire Clay ' Lining
in Inches
Actual Area Sq In.
Round Flue
Inside Diam
eter of lining
in Inches
Actual Area
Sq In.
973 1,140 1,490 1,490 1,820 2,800 3,200 3,520 4,090 5,200 7,100 7,590 8,250 9,190 9,200 11,500
12,000
14,400 15,500 16,750 17,250
8^x13 7 xllM 81
13x13 liKxll M 127 8^x18 6% x 16)4 110
13x18 11)4x16)4 183
18x18 15)4x15)4 248 20x20 17Mxl7)4 298
20x24 24x24
17x21
21x21
24x24*
357 441 576
24x28* 28x28*
30 x 30* 28x32*
672 784
900 896
10
12
15
18
20
- 22
24
27
79
113 177
254 314
380 452
573
Height in Ft Above Grate
35
40
45 50
55 60 65
Dimensions are for unlined rectangular flues. tThis table is taken from the A.S.H.V.E. Code of Minimum Requirements for the Heating and Venti lation of Buildings (Edition of 1929).
draft chimney, Venturi chimney, or fan, and is equal to the theoretical intensity less the internal lossesrincidental to operation. The right hand member represents the sum of all of the various losses of draft throughout the entire boiler plant installation outside of the pressure transformer itself. The left hand member expresses the available intensity and is analogous to the head developed by a centrifugal pump in a water works system, while the right hand member expresses the required draft in tensity and is analogous to the total dynamic head in a water works system. For a general circulation of gases then
9a=Or where
Da. = available draft intensity, inches of water. Di = required draft, inches of water
(14)
The draft loss through thefuel bed(hF), orthe amount of draft required to effect a given or required rate of combustion, varies between wide limits and represents the greater portion of the required draft. In coal-fired installations, the draft loss through the fuel bed is dependent upon the following factors:^ (1) character and condition of the fuel, clean or dirty; (2) percentage of ash in the fuel; (3) volume of'interstices in the fuel bed,
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