A small wedge on the lower wall of a two-dimensional channel turns a stream of air at…

PHYSICS · Multi-part · Fermi University Physics · Fluids & Continuum Physics · Waves, acoustics and compressible flow · Waves, acoustics and compressible flow

Signal Speeds in Fluids, Ch Oblique shocks, expansion fans and blast waves

Problem

A small wedge on the lower wall of a two-dimensional channel turns a stream of air at M1=2.5M_1=2.5 (γ=1.4\gamma=1.4) through an angle θ\theta. Its oblique shock runs across the channel and meets the flat upper wall. ((a)) For θ=12∘\theta=12^\circ, find the incident shock angle β\beta, the Mach number M2M_2 behind it and θmax⁡(M2)\theta_{\max}(M_2), and decide whether the reflection is regular. If it is, find the reflected shock's angle to the upper wall and the wall pressure p3/p1p_3/p_1 behind it. ((b)) For θ=20∘\theta=20^\circ, find M2M_2 and θmax⁡(M2)\theta_{\max}(M_2) and decide again.

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