Question: 1. (35 pts) Air flows in a duct, and a valve is quickly closed. A normal shock is observed to propagate back through the

1. (35 pts) Air flows in a duct, and a valve is quickly closed. A normal shock is observed to propagate back through the duct at a speed of 300 m/s. After the air has been brought to rest, its temperature and pressure are 500 K and 202 kPa, respectively. What were the original temperature, pressure and velocity of the air before the valve was closed? 2. (25 pts total) Air flows through a converging diverging nozzle that has an area ratio of 3.5 into an environment with still air. The nozzle is operating at its third critical (design condition). The jet stream strikes a two-dimensional wedge with a total wedge angle of 40 as shown below. a. Make a sketch to show the initial wave pattern that results from the jet stream striking the wedge. b. Show the additional wave pattern formed by the interaction of the initial wave system with the free boundary. Mark the flow direction in the region following each wave. c. Compute the Mach number and direction of the flow after the air jet passes through each system of waves. Free boundary P amb = 14.7 psia -40- 20

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