A small smooth bump of length sits on an otherwise flat wall over which air streams…
PHYSICS · Multi-part · Fermi University Physics · Mathematical Methods for Physics · Fluids & Continuum Physics · Waves, acoustics and compressible flow
Signal Speeds in Fluids, Ch Steady compressible flow: energy, stagnation and the Mach number
Problem
A small smooth bump of length L=0.5m sits on an otherwise flat wall over which air streams uniformly at M∞=2.5, parallel to the undisturbed wall far away. Describe, in words precise enough that another reader could turn the description into a scale drawing, the region of the (x,y) plane (flow direction x, height above the wall y) that carries a pressure disturbance because of the bump.
((a)) Give the Mach angle μ for M∞=2.5.
((b)) Describe the two straight lines that bound the affected region, stating where each starts and at what angle each is inclined to the flow direction.
((c)) State, with a one-line justification from the governing equation, what the flow looks like directly upstream of the bump's leading edge, and at points above the wall but ahead of both bounding lines.