13-34 The Civil Engineering Handbook, Second Edition
The calculation further assumes that the heat loss to the surroundings is 5%. This is conservative but
useful for the purpose. As a result, the heat available to raise the temperature of the 2420 lb-moles/hr of
gases is 34.968 MMBtu/hr for a sensible heat content of 14,450 Btu/lb. It is now possible to compute the
temperature of the flue gas by solving Eqs. (13.10) or (13.12) for temperature. The form of these equations
requires that their solution for temperature involve an iteration, readily accomplished with a computer.
If a computer is not available, the calculation can be time consuming; however, one can use the enthalpy
of gases given in Table 13.3 to estimate the temperature for the calculated enthalpy. Table 13.3 indicates
that the gas temperature is, therefore, approximately 1850°F, well within the level of error of the calculation
to 1872°F calculated by iteration. This is an unusually good agreement between the two methods of
calculations. The typical difference is usually in the range ±150°F.
The heat loss through the walls of the combustion chamber is rarely known. It can, however, be
estimated during shakedown or during the trial burn by comparing the measured temperature of the
flue gas to that calculated by a mass and energy balance. The heat loss from the incinerator as a whole
will not vary from this value by more than a few percent. If necessary, even this small variation can be
taken into account by assuming that the rate of heat loss is proportional to the difference between
combustion chamber or duct temperatures and the ambient temperature. The temperature of the gases
in the combustion chamber or duct is usually constant, the ambient temperature will not, normally, vary
by more than about 100°F between the seasons.
Assume that these results were obtained during the summer, when the temperature was 100°F. The
heat loss was 1.84 MMBtu/hr. The combustion chamber temperature was 1872°F, so the temperature
difference was 1772°F. On a cold winter day when the ambient temperature would be, for example, 0°F,
the temperature difference would be 1872
°
F. The heat loss in the winter could then be estimated to be:
TABLE 13.7 (continued) Flue Gas Properties for System with Heat Exchanger
Combustor operating conditions input/output table
Enter operating conditions
in this table INPUT CALCULATED LHV (Btu/lb)
Scrubber efficiency* ____________ 99.5%
Solid waste feed (lb/hr) _________ 1,500 8.95E+06 (Btu/hr) 5,968
High Btu liquid waste feed (lb/hr) 2,000 2.73E+07 (Btu/hr) 13,633
Low Btu liquid waste feed (lb/hr) 2,000 –1.31E+06 (Btu/hr) (655)
Suppl. fuel (oil lb/hr or gas scfm) 100 1.90E+06 (Btu/hr) 19,000
(“0” if oil, “1” if gas) _________ 0
% excess air __________________ 120% 120% by temperature
% oxygen in stack (dry) ________ 11.7% 11.7%
Comb. chamber temp. °F________ 1,872 1,872 1,295 K
Heat exch. thermal duty (Btu/hr) _ 2.15E+07
% Heat loss or boiler duty_______ 5% or 1.84E+06 (Btu/hr)
Total input to incin. (excl losses)__ 5,600 lb/hr 3.68E+07 (Btu/hr)
In Out AV — by feed (including
losses), Spreadsheet 4A
Enth. both ways (10
3
Btu/hr) 34,968 34,968 AX by gas flow, form
spreadsheet 3
Comb. gas flow, SCFM, dry, no HCl 13,661
Te mp. @ heat exch. outlet (°F) ___ 800 700 K
Te mp. @ quench outlet (°F)______ 161 161 345 K
Water evaporated in quench 13,441 lb/hr 1,612 gal/hr
Gas flow rate leaving quench (ACFM, wet) 23,916 1,001 Btu/lb latent of heat
water @ quench T
Gas flow rate leaving quench (SCFM, wet) 20.427
% moisture 32.9%
% moisture @ saturation 32.9%
*Based on scrubber efficiency input.