Solution: Compressible Flow Air as an ideal gas with k = 1.4

Chapter 9, Problem 138P

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Air as an ideal gas with k = 1.4 enters a converging– diverging channel at a Mach number of 1.6. A normal shock stands at the inlet to the channel. Downstream of the shock the flow is isentropic; the Mach number is unity at the throat; and the air exits at \(20 \mathrm{\ lbf} / \mathrm{in.}^{2}, \ 700^{\circ} \mathrm{R}\), with negligible velocity. If the mass flow rate is 45 lb/s, determine the inlet and throat areas, in \(\mathrm{ft}^{2}\).

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