Tuesday, March 30, 2021

CALCULATION OF DRY FLUE GAS LOSSES & COAL REQUIREMENT

         

Quantity of annual coal requirement in tonnes/year

                                                

                         Calculate % dry flue gas losses 


A process industry consuming 10 TPH of saturated steam at 10 kg/sq.cm(g) pressure has been using coal as fuel in boiler.

Typical ultimate analysis of the coal:

Carbon : 41.11%

Hydrogen : 2.76 %

Nitrogen : 1.22 %

Oxygen : 9.89 %

Sulphur : 0.41%

Ash : 38.63

Water : 5.89

Flue gas temperature = 200°C

Ambient temperature = 30°C

Enthalpy of steam = 668 kcal/kg

Feed water temperature = 80°C

Specific heat of flue gases = 0.23 kcal/kgoC

Boiler efficiency with Indian coal =72 %

GCV of coal = 4,000 kCal/kg

Oxygen content in dry flue gases = 10%

Annual Hours of operation = 8000 hrs.

Determine:

(i) Quantity of annual coal requirement in tonnes/year 

(ii) Calculate % dry flue gas losses 


Solution:

a)

Coal requirement Q = Steam (q) x (hg – hf)/( Efficiency x GCV)

= 10 x (668-80) / (0.72 x 4000)

= 2.042 T/Hr

= 2.042 x 8000 hrs

= 16336 Tonnes/year

Theoretical air requirement for coal

= [(11.6 x C%) + {34.8 x(H2% - O2%/8)} + (4.35 x S%)] kg / kg of coal

100

= [(11.6 x 41.11) + {34.8 x(2.76 – 9.89/8)} + (4.35 x 0.41)]

100

= 5.31 kg / kg of coal

(Or)

C+ O2 = CO2

12+32= 44

(C%*32)/12

2H2+ O2 = 2H2O

4+32=36

(H%*32)/4

S+ O2 = SO2

32+32=64

(S%*32)/32

Total oxygen required = (41.11* 32/12) + (2.76*32/4)+ (0.41*32/32)

= (109.63) + (22.08) + (0.41)

= 132.1 kg/ 100 kg fuel

Oxygen already present in 100 kg fuel = 9.89 kg/ 100 kg fuel

Additional oxygen required = 132.1 – 9.89 kg/ 100 kg fuel

= 122.21 kg/ 100 kg fuel

Quantity of dry air required

(Air contains 23% O2 by weight ) = 122.1/ 0.23

= 531.35 kg/ 100 kg fuel


Theoretical air required = 531.35/100

= 5.31 kg air/ kg fuel

Excess air = O2x100/(21-O2)

Excess air = 10 x 100/ (21 – 10) = 90.9%

Actual air= 5.31 * (100+90.9)/100

=10.137 kg air/kg coal

Heat loss in dry flue gas = m x CP (Tf – Ta) x 100 /GCV

= (10.137+ 1) x 0.23 x (200 – 30) x 100

4000

= 10.89 %

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