Solution: A convergingdiverging nozzle operates at steady

Chapter 9, Problem 9.138

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A converging–diverging nozzle operates at steady state. Air as an ideal gas with k 5 1.4 flows through the nozzle, discharging to the atmosphere at \(14.7 \mathrm{lbf} / \mathrm{in}^{2} \text { and } 510^{\circ} \mathrm{R}\). A normal shock stands at the exit plane with \(p_{\mathrm{x}}=9.714\) lbf/ \(\text { in. }{ }^{2}\) The exit plane area is \(2 \mathrm{in}^{2}\) Upstream of the shock, the flow is isentropic. Determine

(a) the throat area, in \(\text { in. }{ }^{2}\)

(b) the entropy produced in the nozzle, in \(\text { Btu } /{ }^{\circ} \mathrm{R}\) per lb of air flowing.

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