Compressible Flow Air as an ideal gas with k = 1.4

Chapter 9, Problem 134P

(choose chapter or problem)

Air as an ideal gas with k = 1.4 undergoes a normal shock. The upstream conditions are \(p_{\mathrm{x}}=0.5 \mathrm{\ bar}, \ T_{\mathrm{x}}=280 \mathrm{\ K}\), and \(M_{\mathrm{x}}=1.8\). Determine

(a) the pressure \(p_{\mathrm{y}}\), in bar.

(b) the stagnation pressure \(p_{\mathrm{ox}}\), in bar.

(c) the stagnation temperature \(T_{\mathrm{ox}}\), in K.

(d) the change in specific entropy across the shock, in \(\mathrm{kJ} / \mathrm{kg} \cdot \mathrm{K}\).

(e) Plot the quantities of parts (a)–(d) versus \(M_{\mathrm{x}}\) ranging from 1.0 to 2.0. All other upstream conditions remain the same.

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