When the wall deflection is convex in nature, what is the flow velocity upstream and downstream of the Mach wave?

A)
The two velocity components normal to the first and last Mach waves are equal
B)
The upstream velocity component parallel to the first Mach wave is not equal to the downstream velocity component parallel to the last Mach wave
C)
The upstream velocity component normal to the first Mach wave is greater than the downstream velocity component normal to the last Mach wave
D)
The upstream velocity component normal to the first Mach wave is smaller than the downstream velocity component normal to the last Mach wave

Correct Answer :   The upstream velocity component normal to the first Mach wave is smaller than the downstream velocity component normal to the last Mach wave


Explanation : During a supersonic expansion at a convex corner, the velocity components parallel to the Mach waves are equal. Since expansion follows an isentropic process, the normal component of the velocity downstream is greater than upstream normal velocity component.