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If the Riemann variants are known, how can we compute the mass – motion velocity u?(a) \(\frac {J_++J_-}{2}\)(b) \(\frac {J_+-J_-}{2}\)(c) \(\frac {J_+×J_-}{3}\)(d) \(\frac {J_+×J_-}{6}\)I have been asked this question during an interview.Question is from Finite Waves in chapter Unsteady Wave Motion of Aerodynamics

Answer»

Correct option is (a) \(\FRAC {J_++J_-}{2}\)

To elaborate: On solving the two Riemann invariants J+ and J– for the two CHARACTERISTIC lines passing through a point x, y in an x – y plane, we get the solution for MASS – motion velocity u. It is given by:

u = \(\frac {J_++J_-}{2}\)


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