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In a gas turbine recuperator, the expression for effectiveness for the parallel flow configuration reduces to
  • a)
    1 – exponential (- NTU)/3
  • b)
    1 – exponential (- NTU)/4
  • c)
    1 – exponential (- 2 NTU)/2
  • d)
    1 – exponential (- NTU)/6
Correct answer is option 'C'. Can you explain this answer?
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In a gas turbine recuperator, the expression for effectiveness for the...
In a gas turbine recuperator, the exhaust gases after expansion in the turbine are used to heat the compressed air.
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In a gas turbine recuperator, the expression for effectiveness for the...
The expression for effectiveness for the parallel flow configuration in a gas turbine recuperator is given by:

ε = (T_h - T_c) / (T_h - T_c')

where,
T_h = hot gas inlet temperature
T_c = cold fluid inlet temperature
T_c' = cold fluid outlet temperature

In the parallel flow configuration, the hot gas and cold fluid flow in the same direction, and their temperatures decrease simultaneously as they pass through the recuperator. Therefore, the maximum possible temperature difference between the fluids is limited by the minimum temperature of the cold fluid, i.e., (T_h - T_c').

If the heat exchanger is perfectly efficient, then the hot gas temperature would decrease to the same temperature as the cold fluid outlet temperature, i.e., T_h = T_c'. In this case, the effectiveness would be 1, indicating that all the heat has been transferred from the hot gas to the cold fluid.

Therefore, the correct option is (a) 1.
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In a gas turbine recuperator, the expression for effectiveness for the parallel flow configuration reduces toa)1 – exponential (- NTU)/3b)1 – exponential (- NTU)/4c)1 – exponential (- 2 NTU)/2d)1 – exponential (- NTU)/6Correct answer is option 'C'. Can you explain this answer?
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