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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