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GATE 2019 AE – Question 37

Aerodynamics · Compressible flows: isentropic flow, normal and oblique shocks, Prandtl-Meyer flow, nozzles and diffusers · 2 marks · Multiple choice

An incident weak oblique shock is reflected as a weak oblique shock from the wall, as shown. Which relation between shock angles β₁, β₂ and flow-deflection magnitudes θ₁, θ₂ is correct?

Diagram for GATE 2019 AE question 37
  1. $\beta_1>\beta_2$
  2. $\beta_1<\beta_2$
  3. $\theta_1>\theta_2$
  4. $\theta_1<\theta_2$

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Correct answer: (B) $\beta_1<\beta_2$

Explanation

The reflected shock turns the flow back parallel to the wall, so θ₂=θ₁ in magnitude. The first shock reduces Mach number. On the weak-shock branch, producing the same turning angle at the lower incident Mach number requires a larger shock angle. Thus β₂>β₁, B.

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