Example 5 An airstream with Mach number of 2, a pressure of 150 KPa and a temperature of 350K enters a diverging channel as shown in the figure. If the ratio of the exit cross-sectional are to the inlet cross-sectional are is 3, determine the back pressure which is necessary to produce a normal shock wave in the channel with a cross- sectional area equal to twice the inlet cross-sectional area. Assume steady, one-dimensional isentropic flow except through the normal shock wave. Ans. 444.2 KPa P = 150KPA T= 350K M = 2 A1 = A2 = 2A; A= 3A; 1 2

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