Gas Turbine Calculation, Using Thermo Utilities, MS Excel Add-ins

Flue gases at 10.5 bar and 700 C enter to an expander. The expander has a pressure ratio of 10/1. The isentropic efficiency of the expansion is 0.85. The volumetric composition of flue gases is:

N2 76.4%; O2 4.0%; CO2 15.1%; Ar 0.09%; H2O 4.2%; SO2 0.21%

Calculate the temperature, specific enthalpy, and specific entropy of the flue gases at the outlet. If the intake of hot gases is 5 kg/s, what is the output of the expander?

 
Inputs

Units

Inlet Pressure

10,5

bar

Inlet Temperature

700,0

C

N2 Volumetric %

0,7640

.

O2 Volumetric %

0,0400

.

CO2 Volumetric %

0,1510

.

Ar Volumetric %

0,0009

.

H2O Volumetric %

0,0420

.

SO2 Volumetric %

0,0021

.

Isentropic Efficiency

0,850

.

Pressure Ratio

10,000

.

Mass Flow

5,000

Kg/s

Equations:

 

 

 

 

 

 

 

 
Outputs

Inlet Enthalpy

833,088

kJ/kg

Gas Constant

0,275

kJ/(kg.K)

Inlet Entropy

0,726

kJ/(kg.K)

Inlet Specific Heat Capacity

1,198

kJ/(kg.K)

Gamma

1,298

.

Kelvin

273,150

C

Outlet Pressure

1,050

bar

Ln(P1/P2)

2,303

.

(1-1/Gamma)*'Ln(P1/P2)

0,528

.

T1/T2s=....

1,696

.

T2s

573,923

C

T2s

300,773

C

H2s

376,256

kJ/kg

Outlet Enthalpy

444,781

kJ/kg

Outlet Temperature

363,341

C

Outlet Entropy

0,871

kJ/(kg.K)

.

.

.

Turbine Output

1941,536

KJ/s


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