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Indirect Method

1. The document provides data on a boiler that uses coal as fuel, including fuel and steam generation rates, pressures, temperatures, and fuel analysis. 2. It then outlines the 8-step indirect method to calculate the boiler efficiency. This involves determining the theoretical air requirement, CO2 percentage, excess air supplied, actual air and flue gas mass, and various heat loss percentages. 3. The calculated boiler efficiency is 79.392% based on summing the percentages of 8 types of heat losses determined in the indirect method steps.
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0% found this document useful (0 votes)
211 views6 pages

Indirect Method

1. The document provides data on a boiler that uses coal as fuel, including fuel and steam generation rates, pressures, temperatures, and fuel analysis. 2. It then outlines the 8-step indirect method to calculate the boiler efficiency. This involves determining the theoretical air requirement, CO2 percentage, excess air supplied, actual air and flue gas mass, and various heat loss percentages. 3. The calculated boiler efficiency is 79.392% based on summing the percentages of 8 types of heat losses determined in the indirect method steps.
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Fahrurodin Syah Alfa Roby

Soal :
1. Sebuah boiler berbahan batu bara dengan data-data seperti table 2.
Tentukanlah efisiensi boiler dengan indirect method
Fuel firing rate
Steam generation rate
Steam pressure
Steam temperature

=
=
=
=

Feed water temperature

%CO in Flue gas


2
%CO in flue gas
Average
flue
temperature
Ambient temperature

=
gas

Humidity in ambient air

=
=

0.55

o
31 C
0.0204 kg / kg dry
air
o
70 C

Surface temperature of =
boiler
Wind velocity around the =
boiler
Total surface area of boiler =
GCV of Bottom ash
GCV of fly ash
Ratio of bottom ash to fly
ash
Fuel Analysis (in %)
Ash content in fuel
Moisture in coal
Carbon content
Hydrogen content
Nitrogen content
Oxygen content
GCV of Coal

60000 kg/hr
20000 kg/hr
5 MPa
o
400 C
o
98 C
14

=
=
=
=
=
=
=
=
=
=

o
190 C

3.5 m/s
2
90 m
800 kCal/kg
452.5 kCal/kg
90:10
8.63
31.6
43
2.04
1.5
13.23

3800

kCal/kg

Jawaban :
Step 1 Find theoretical air requirement
Theoretical air required for
complete combustion
= [(11,6 x C) + {34,8x ( H2 - O2 / 8 )} + (4,35 x S ) ] /100 Kg/Kg of coal
=[(11,6 x 43) + {34,8 x (2,04 - 13,23 /8 )} + (4,35 x 0 ) ] /100 Kg/Kg of coal
= 5,12 Kg/Kg of coal
Step 2 Find theoretical CO2 %
Moles of N 2+
Moles of C

Moles of C

% CO2 at theoretical condition( CO2)t =

Wt of N 2
Mol . wt of N 2
theortical air

Where, Moles of N2

Moles of N2

Where moles of C

5,12 x 77 /100
28

0,43
12

0,015
28

= 0,0358

0,358
0,1405+ 0,0358

(CO2)t

(CO2)t

= 0,2031 x 100% = 20,31 %

Step 3 To find Excess airsupplied


Actual CO2 measured in flue gas = 14.0%

= 0,2031

Wt of N 2 fuel air
Mol . wt of N 2

= 0,1405

7900 x [ ( C O 2 ) t( C O2 ) a]
% Excess air supplied (EA)

( C O2 ) a x [100( C O2 ) t ]

7900 x [20,3114 ]
14 x [ 10020,31]

x 100 %

= 44,68 %

Step 4 To find actual mass of air supplied


Actual mass of air supplied = {1 + EA/100} x theoretical air
= {1 + 44,68 /100} x 5.12
= 7,41Kg/Kg of coal
Step 5 To find actual mass of dry flue gas
Mass of dry flue gas = Mass of CO2 + Mass of N2 content in the fuel+ Mass of N2 in the
combustion air supplied + Mass of oxygen in flue gas

Mass of dry flue gas =

0,43 x 44
12

+ 0,015 +

7,41 x 77
100

( 7,415,12 ) x 23
100

= 7,83 Kg / Kg of coal
Step 6 To find all losses
f T a
T

1. % Heat loss in dry flue gas (L1) =


x 100 %
m x Cp x

7,83 x 0,23 x ( 19031 )


=
3800

L1 = 7,535 %

x 100 %

2. % Heat loss due to formation of water from H2 in fuel (L2)


f T a
T

(L2) =
x 100 %
9 x H 2 x {584 +C p

9 x 0,0204 x {584+0,,45( 19031)


3800

= 3,17 %
3. % Heat loss due to moisture infuel (L3)

(L3) =

f T a
T

}
M x {584+C p

31,6 x {584+ 0,45 ( 19031 ) }


x 100
3800

= 5,45 %
4. % Heat loss due to moisture in air (L4)

L6

f T a
T

}
ASS x Humidity x C p

7,41 x 0,0204 x 0,45 ( 19031 ) }


x 100
3800

= 0,28 %

5. % Heat loss due to partial conversion of C to CO (L5)

x 100 %

L5

CO x C
5744
x
CO + C O2 GCV of fuel

0,05 x 0,1465
0,55+14

x 100 %

0,05 x 0,1465
x 100
3800

= 2,418

6. Heat loss due to radiation and convection (L6)


= 0.548 x [ (343/55.55)4 (303/55.55)4 ] + 1.957 x (343- 303)1,25 x sq.rt of
[(196.85 x 3.5 + 68.9) /68.9]
= 645,45 w/m2
= 645 x 0,86 = 555,09
Total radiation and convection
loss per hour

% radiation and convection loss


L6

=555,09 x 90 = 49.958,16

49.958,16 x 100
3800 x 60000

= 0,02 %

7. % Heat loss due to unburnt in fly ash


% Ash in coal

= 8.63

Ratio of bottom ash to fly ash

= 90:10

GCV of fly ash

= 452.5 kCal/kg

Amount of fly ash in 1 kg of coal

= 0.1 x 0.0863 = 0.00863 kg

Heat loss in fly ash

= 0.00863 x 452.5 = 3.905 kCal / kg of coal

% heat loss in fly ash

= 3.905 x 100 / 3800


L7

= 0.10 %

8. % Heat loss due to unburnt in bottom ash


GCV of bottom ash
= 800 kCal/kg
Amount of bottom ash in 1 kg of coal
= 0.9 x 0.0863
= 0.077 kg
Heat loss in bottom ash
= 0.077 x 800
% Heat loss in bottom ash

= 62.136 kCal/kg of coal


= 62.136 x 100 / 3800
L8 = 1.63 %

Boiler efficiency by indirect method = 100 (L1+ L2+ L3+ L4+ L5+ L6+ L7+ L8)
= 100 - ( 7,535 + 3,17 + 5,45 + 0,28 + 2,418 + 0,02 +
0,10 +1,635 )
= 79,392 %

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