A stream of air at and static pressure turns through a convex corner that deflects it…

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 stream of air at M1=1.8M_1=1.8 and static pressure p1p_1 turns through a convex corner that deflects it away from itself by 15∘15^\circ, generating a Prandtl-Meyer expansion fan. Take γ=1.4\gamma=1.4 and use the tabulated Prandtl-Meyer function values ν(1.8)=20.73∘\nu(1.8)=20.73^\circ, ν(2.2)=31.73∘\nu(2.2)=31.73^\circ, ν(2.35)=35.53∘\nu(2.35)=35.53^\circ, ν(2.36)=35.77∘\nu(2.36)=35.77^\circ. ((a)) Find the Mach number M2M_2 downstream of the fan. ((b)) Find the pressure ratio p2/p1p_2/p_1.

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