Blast Furnace Heat and Material Balance Using MS-Excel-Solver WB

8/11/2019 Blast Furnace Heat and Material Balance Using MS-Excel-Solver WB

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Microsoft Excel 14.0 Answer Report

Worksheet: [Blast furnace heat and material balance using MS-Excel-Solver WB.xls]Main

Report Created: 8/31/2014 7:44:44 PM

Result: Solver found a solution. All Constraints and optimality conditions are satisfied.

Solver Engine

Engine: GRG NonlinearSolution Time: 0.062 Seconds.Iterations: 0 Subproblems: 0

Solver Options

Max Time 10000 sec, Iterations 10000, Precision 0.000001, Use Automatic ScalingConvergence 0.0001, Population Size 100, Random Seed 0, Derivatives Central

Max Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 5%, Assume NonNegative

Objective Cell (Value Of)

Cell Name Original Value Final Value

$B$19 CBalance 0.00 0.00

Variable Cells

Cell Name Original Value Final Value Integer

$B$6 wt 658.48 658.48 Contin$E$6 wt 1500.190412 1500.190412 Contin$H$6 wt 167.7467684 167.7467684 Contin$N$6 wt 109.52 109.52 Contin$Q$7 Volume with air (dry basis) 1822.741335 1822.741335 Contin$W$6 weight 338.73 338.73 Contin

$W$7 CaO 37.98 37.98 Contin$W$8 SiO2 31.65 31.65 Contin$Z$6 Volume 2482.70 2482.70 Contin$W$9 Al2O3 20.46 20.46 Contin

ConstraintsCell Name Cell Value Formula Status Slack

$W$11 MgO 8.91 $W$11=0.0001 Not Binding 8.91$W$10 FeO 1.00 $W$10>=0 Not Binding 1.00

$W$10 FeO 1.00 $W$10


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$W$7 CaO 37.98 $W$7>=0.0001 Not Binding 37.98

$Z$6 Volume 2482.70 $Z$6>=0 Not Binding 2482.70$W$9 Al2O3 20.46 $W$9>=0.0001 Not Binding 20.46$B$6 wt 658.48 $B$6>=0.0001 Not Binding 658.48$Q$7 Volume with air (dry basis) 1822.741335 $Q$7>=0.0001 Not Binding 1822.741235$N$6 wt 109.52 $N$6>=0.0001 Not Binding 109.52$H$6 wt 167.7467684 $H$6>=0.0001 Not Binding 167.7466684$E$6 wt 1500.190412 $E$6>=0.0001 Not Binding 1500.190312


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Microsoft Excel 14.0 Limits Report

Worksheet: [Blast furnace heat and material balance using MS-Excel-Solver WB.xls]Main

Report Created: 8/31/2014 7:44:44 PM

Objective

Cell Name Value

$B$19 CBalance 0.00

Variable Lower Objective Upper Objective

Cell Name Value Limit Result Limit Result

$B$6 wt 658.48 658.48 0.00 658.48 0.00$E$6 wt 1500.190412 1500.190412 0 1500.190412 0$H$6 wt 167.7467684 167.7467684 0 167.7467684 0$N$6 wt 109.52 109.52 0.00 109.52 0.00

$Q$7 Volume with air (dry basis) 1822.741335 1822.741335 0 1822.741335 0$W$6 weight 338.73 338.73 0.00 338.73 0.00$W$7 CaO 37.98 37.98 0.00 37.98 0.00$W$8 SiO2 31.65 31.65 0.00 31.65 0.00$Z$6 Volume 2482.70 2482.70 0.00 2482.70 0.00$W$9 Al2O3 20.46 20.46 0.00 20.46 0.00


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Blast furnace model based upon overall heat and mass bala

Input Materials

Coke Iron Orewt 658.48Kg wt 1500.19

C 88.00 % Fe2O3 84VM 20.00 % SiO2 6

Ash 30.00 % CaO 0SiO2 9.00 % Al2O3 4

CaO 10.00 % C 0Al2O3 3.00 % MgO 0MgO 1.00 %

Moisture 2.00 % 94Weight of fixed carbon 579.4608616

All balances The heat l

Material balance table Heat balaC balance 0.00

Si Balance 0.00 Heat inputFe balance 0.00

oxygen balance 0.00 Heat of reNitrogen balance 0.00 Heat of reMgO balance 0.00 Sensible h

Al2O3 balance 0.00 heat of for

CaO balance 0.00Basisity 1.20

Total(in kJoulein kwh


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Dolomitewt 109.52Kg

SiO2 0.40 %CaO 31.30MgO 20.70

Al2O3 0.63LOI 28

Heat output

Sensible heat of pig iron 300000.0Sensible heat of Slag 143959.5Sensible heat of Top gas 186016.3Heat of decomposition CaCO3 81805.4

Heat of decomposition of Fe2O3 1563385.9Heat of decomposition of SiO2 29048.6Heat of decomposition of MgCO3 17424.1losses 257960.0

Total 2579599.7(in kJoules) 10782726.7Balance 0.0


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Output Materials

Hot blast Pig ironTemperature 250 C Weight 1000

Volume with air (dry basis) 1822.741NM3 Fe 95.1Volume of oxygen in blast 0 NM3 C 4.5Total volume (dry basis) 1822.741 NM3 Si 0.4% oxygen enrichment 0 % Temperature 1350

Blast weight in kg 2346.779 Kg

kcal 11.63 %kcal 5.58 %kcal 7.21 %kcal 3.17 %

kcal 60.61 %kcal 1.13 %

0.68 %kcal 10.00 %

kcal 0 %

kcal 100.00kJ


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Slag top waste gasKg weight 338.73Kg Volume 2482.70

% CaO 37.98% CO 28.00% SiO2 31.65% CO2 14.00% Al2O3 20.46% N2 58.00C FeO 1.00 % temperature 250.00

MgO 8.91 % CO/CO2 2.00Basisity 1.2 weight of w-gas 3351.64sum 100 %

Legend

Calculated Field

Objective Function

User Entered Values


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0


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NM3

%%%C

kg


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=0.0001 Not Binding 21.10

>= $O$32 Balance % 0.0 $O$32=0 Not Binding 0

>= $B$27 Basisity 1.40 $B$27=$W$12 Not Binding 0>= $B$26 CaO balance 0.00 $B$26=0 Not Binding 0>= $B$24 MgO balance 0.00 $B$24=0 Not Binding 0

>= $W$13 sum 100 $W$13=100 Not Binding 0

>= $B$25 Al2O3 balance 0.00 $B$25=0 Not Binding 0= $W$10 FeO 1.00 $W$10>=0 Not Binding 1.00= $W$10 FeO 1.00 $W$10= $B$22 oxygen balance 0.00 $B$22=0 Not Binding 0>= $B$23 Nitrogen balance 0.00 $B$23=0 Not Binding 0>= $W$9 Al2O3 16.82 $W$9>=0.0001 Not Binding 16.82=0.0001 Not Binding 2706.70=0.0001 Not Binding 1368.664682

= $H$6 wt 73.51306233 $H$6>=0.0001 Not Binding 73.51296233= $N$6 wt 1193.74 $N$6>=0.0001 Not Binding 1193.74= $Z$6 Volume 6201.72 $Z$6>=0 Not Binding 6201.72= $W$9 Al2O3 16.82 $W$9= $W$6 weight 1225.18 $W$6>=0.0001 Not Binding 1225.18

=0.0001 Not Binding 35.62= $W$8 SiO2 25.45 $W$8>=0.0001 Not Binding 25.45= $Q$7 Volume with air (dry basis) 5102.67768 $Q$7>=0.0001 Not Binding 5102.67758= $W$7 CaO 35.62 $W$7


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Constraints Target Cell (Value Of)


$B$19 C balance 0.00 0.00

Adjustable Cells


$B$6 wt 2707.55 2706.70$E$6 wt 1368.698941 1368.664782$H$6 wt 0.0001 73.51306233$N$6 wt 1277.21 1193.74$Q$7 Volume wit 5101.825944 5102.67768$W$6 weight 1228.20 1225.18$W$7 CaO 35.00 35.62$W$8 SiO2 25.00 25.45$Z$6 Volume 6200.68 6201.72$W$9 Al2O3 16.73 16.82

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Blast Furnace Heat and Material Balance Using MS-Excel-Solver WB