For an ideal Brayton cycle on a cold air-standard basis

Chapter 9, Problem 9.45

(choose chapter or problem)

For an ideal Brayton cycle on a cold air-standard basis show that

(a) the back work ratio is given by

\(\text { bwr }=T_{1} / T_{4}\)

where \(T_{1}\) is the temperature at the compressor inlet and \(T_{4}\) is the temperature at the turbine exit.

(b) the temperature at the compressor exit that maximizes the net work developed per unit of mass flowing is given by

\(T_{2}=\left(T_{1} T_{3}\right)^{1 / 2}\)

where \(T_{1}\) is the temperature at the compressor inlet and \(T_{3}\) is the temperature at the turbine inlet.

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