A closed tube contains nitrogen at \(20^{\circ} \mathrm{C}\) and a pressure of \(1 \times 10^{4} \mathrm{~N} / \mathrm{m}^{2}\) (Figure P7.5). A shock wave progresses through the tube at a speed of \(380 \mathrm{~m} / \mathrm{s}\).

(a) Calculate the conditions that exist immediately after the shock wave passes a given point. (The fact that this is inside a tube should not bother you, as it is merely a normal shock moving into a gas at rest.)

(b) When the shock wave hits the end wall, it is reflected back. What are the temperature and pressure of the gas between the wall and the reflected shock? At what speed is the reflected shock traveling? (This is just like the sudden closing of a valve in a duct.)

Transcribed Image Text:

(a) (b) V = 0, T = 20C P = 110+ N/m V =? V3=0, 73=? P3=? V = 380 m/s V=? T2.P2=? V2 [Conditions determined in (a)] T2,P2 Figure P7.5