On the basis of a cold air-standard analysis, show that

Chapter 9, Problem 9.65

(choose chapter or problem)

On the basis of a cold air-standard analysis, show that the thermal efficiency of an ideal regenerative gas turbine can be expressed alternatively as

\(\eta=1-\left(\frac{T_{1}}{T_{3}}\right)(r)^{(k-1) / k}\)

where r is the compressor pressure ratio, \(T_{1}\) and \(T_{3}\) denote the temperatures at the compressor and turbine inlets, respectively, and as

\(\eta=1-\frac{T_{2}}{T_{3}}\)

where \(T_{2}\) is the temperature at the compressor exit.

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