Dry anthracite with the following composition by mass:
C 90%; H 3%; O 2%; N 1%; S 1%; ash 3%
has been burned in a boiler, when 150% excess air is supplied. Combustion efficiency is 0.75 Calculate:
Air is supplied at atmospheric pressure and 18 C with 0.008 specific humidity. The fuel has an average temperature of 35 C when enters
the boiler. The net calorific value of the fuel at 15 C is 33 500 kJ/kg. The specific heat capacity of fuel is 3.2 kJ/kg,K.
Combustion equation for coal:
C + O2 => CO2 (12 kg C)+(32 kg O) => (44 kg CO2)
Combustion equation for hydrogen:
2 H2 + O2 => 2 H2O (4 kg H)+(32 kg O) => (36 kg H2O)
Combustion equation for sulphur:
S + O2 => SO2 (32 kg S) + (32 kg O) => (64 kg SO2)
Fuel Analysis |
. |
. |
. |
Constituent |
Mass fraction |
Required oxygen |
Product mass |
. |
. |
kg/kg fuel |
kg/kg fuel |
Carbon |
0,900 |
2,400 |
3,300 |
Hydrogen |
0,030 |
0,240 |
0,270 |
Oxygen |
0,020 |
-0,020 |
0,000 |
Nitrogen |
0,010 |
0,000 |
0,010 |
Sulphur |
0,010 |
0,010 |
0,020 |
Ash |
0,030 |
0,000 |
0,030 |
. |
1,000 |
2,630 |
3,630 |
Analysis of Supplied Air |
. |
. |
. |
Specific Humidity |
0,008 |
. |
. |
Composition by mass |
. |
. |
. |
Constituent |
Dry Air |
Humid Air |
. |
N2 |
0,76280 |
0,75670 |
. |
O2 |
0,23290 |
0,23104 |
. |
CO2 |
0,00300 |
0,00298 |
. |
Ar |
0,00130 |
0,00129 |
. |
H2O |
0,00000 |
0,00800 |
. |
SO2 |
0,00000 |
0,00000 |
. |
. |
1,00000 |
1,00000 |
. |
Air required per kg of fuel |
11,38 |
Stoichiometric A/F ratio |
kg/kg |
Excess Air |
1,5 |
. |
. |
Actual A/F ratio kg/kg |
28,45867 |
. |
. |
Exhaust Gases |
. |
Wet Mass |
Dry Mass |
Constituent |
Mass |
Composition |
Composition |
N2 |
21,54461 |
0,73210 |
0,74469 |
O2 |
3,94500 |
0,13405 |
0,13636 |
CO2 |
3,38469 |
0,11501 |
0,11699 |
Ar |
0,03670 |
0,00125 |
0,00127 |
H2O |
0,49767 |
0,01691 |
0,00000 |
SO2 |
0,02000 |
0,00068 |
0,00069 |
. |
29,42867 |
1,00000 |
1,00000 |
Exhaust Gases |
. |
. |
Volume |
Constituent |
Kg/kmol |
Mole Fraction |
Composition |
N2 |
28 |
0,02615 |
0,77058 |
O2 |
32 |
0,00419 |
0,12346 |
CO2 |
44 |
0,00261 |
0,07704 |
Ar |
40 |
0,00003 |
0,00092 |
H2O |
18 |
0,00094 |
0,02769 |
SO2 |
64 |
0,00001 |
0,00031 |
. |
. |
0,03393 |
1,00000 |
Mass balance |
. |
. |
. |
Fuel |
1,00000 |
. |
. |
Supplied Air |
28,45867 |
. |
. |
. |
29,45867 |
. |
. |
. |
. |
. |
. |
Exhaust Gases |
29,42867 |
. |
. |
Ash |
0,03000 |
. |
. |
. |
29,45867 |
. |
. |
Supplied Air Temp. |
18 |
C |
. |
Fuel Cp |
3,2 |
kJ/(kg.K) |
. |
Net Calorific Value |
33500 |
kJ/kg |
. |
Combustion efficiency |
0,75 |
. |
. |
. |
. |
. |
. |
. |
Enthalpy |
Mass Flow |
m*h |
. |
kJ/kg |
kg/s |
kJ/s |
Supplied Air |
38,31 |
28,46 |
1090,14 |
Fuel |
64,00 |
1,00 |
64,00 |
Fuel Energy Supplied |
33500,00 |
1,00 |
25125,00 |
. |
. |
. |
26279,14 |
Exhaust Gases |
892,07 |
. |
. |
Exhaust Gases Temp |
774, |
C |
. |