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The area – Mach number relation yields how many solutions for a given Mach number?

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The area – Mach number relation yields how many solutions for a given Mach number?

(a) 2

(b) 4

(c) 6

(d) 0

This question was posed to me in exam.

Origin of the question is Governing Equations for Quasi One Dimensional Flow topic in chapter Compressible Flow through Nozzles, Diffusers and Wind Tunnels of Aerodynamics

1 Answer

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Best answer
Right choice is (a) 2

Easiest explanation: The area – Mach relation which is the ratio of local area to throat area as a function of Mach number yields two solutions for a given Mach number. One is a subsonic value and the other is the corresponding supersonic value.

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