Simplified heat balance for reheating furnace


DATA      
discharge temp 1,200 ºC 2,192 ºF
soak zone temp 1,240 ºC 2,264 ºF
heat zone temp 1,200 ºC 2,192 ºF
charge temp 20 ºC 68 ºF
air combustion temp 25 ºC 77 ºF
fumes temp at charge end 950 ºC 1,742 ºF
fumes temp end of furnace 737 ºC 1,359 ºF
production rate 52.7 metric t/h 58.1 short ton/h
gas consumption
44.0 Nm³/t 1,341 MM Btu/ton
scale loss 0.5 % 0.5 %
fuel- net calorific value 8,465 kcal/Nm³ 900 Btu/SCF


CALCULATIONS              
excess of air 5 % 5 %
combustion air flow 10.7 Nm³/Nm³ of gas 24,834 Nm³/h 15,455 SCFM
fumes flow 12.4 Nm³/kg gas 28,650 Nm³/h 17,829 SCFM
initial steel enthalpy 2 kcal/kg 105,400 kcal/h 0.418 MM Btu/h
final steel enthalpy 204.0 kcal/kg 10,750,800 kcal/h 42.663 MM Btu/h
energy to the steel 202.0 kcal/kg 10,645,400 kcal/h 42.244 MM Btu/h 53 %
fumes enthalpy after recuperator 252.6 kcal/Nm³ 7,235,609 kcal/h 28.713 MM Btu/h 36 %
losses total 38.1 kcal/kg steel 2,008,235 kcal/h 7.969 MM Btu/h 10 %
energy from gas burning 372.5 kcal/kg steel 19,628,642 kcal/h 77.893 MM Btu/h 98 %
energy from scale formation 4.9 kcal/kg steel 260,602 kcal/h 1.034 MM Btu/h 1 %
total energy 377.4 kcal/kg steel 19,889,244 kcal/h 78.927 MM Btu/h 100 %


REHEAT FURNACE DIMENSIONS in mm   DIMENSIONS in feet
  height length width   height length width
hearth 12,192 9,754   40.00 32.00
soak zone 1,600 5,182 9,754   5.25 17.00 32.00
heat zone 2,347 2,438 9,754   7.70 8.00 32.00
convective zone 1,707 5,182 9,754   5.60 17.00 32.00
2 discharge doors 610 762   2.00 2.50
billet 102 9,144 102   0.33 30.00


COOLING WATER 30 m³/h 132 GPM
5 delta T (C) 41 delta T (F)


LOSSES CALCULATIONS kcal/h kcal/kg steel % MMBtu/h MM Btu/ton %
hearth 129,618 2.5 6 0.514 0.009 6
soak zone 264,946 5.0 13 1.051 0.018 13
heat zone 128,585 2.4 6 0.510 0.009 6
convective zone 139,867 2.7 6 0.555 0.010 6
discharge doors - radiation 373,305 7.1 18 1.481 0.026 18
discharge doors - cold air 122,355 2.3 6 0.486 0.008 6
atomizing air 0 0.0 0 0.000 0.000 0
cooling water 150,000 2.8 7 0.595 0.010 7
other losses (should be 15%) 699,557 13.3 34 2.776 0.048 34
TOTAL LOSSES 2,008,235 38.1 100 7.969 0.137 100

 

steel enthalpy
temp C kcal/kg
20 2
100 11.1
200 23.2
300 36.2
400 50.2
600 82.3
800 136
1000 171
1100 187.5
1200 204
1250 212
steel enthalpy
temp F Btu/lb
68 4
212 20
392 42
572 65
752 90
1112 148
1472 245
1832 308
2012 338
2192 367
2282 382


hearth losses
temp C kcal/m².h
800 800
1000 1000
1100 1100
1200 1200
1300 1300
1400 1400
roof losses
temp kcal/m².h
800 2050
1000 2800
1100 3225
1200 3650
1300 4125
1400 4600
wall losses
temp kcal/m².h
800 1500
1000 1950
1100 2225
1200 2500
1300 2800
1400 3100


hearth losses
temp F Btu/sqft.h
1472 295
1832 369
2012 406
2192 442
2372 479
2552 516
roof losses
temp Btu/sqft.h
1472 756
1832 1032
2012 1189
2192 1346
2372 1521
2552 1696
wall losses
temp Btu/sqft.h
1472 553
1832 719
2012 820
2192 922
2372 1032
2552 1143
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