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What is the slope of the right running wave characteristic equation?(a) u + a(b) u – a(c) 2u(d) 2aThis question was addressed to me in unit test.Origin of the question is Philosophy of Method of Characteristics in division Numerical Techniques for Steady Supersonic Flow of Aerodynamics

Answer»

Right option is (a) u + a

To explain I would say: The right running wave has a CHARACTERISTIC line as C+ which has a positive slope. It’s slope is given by \(\frac {DY}{DX}\) = u + a, where a is the local speed of sound which is equal to \(\sqrt {γRT}\). Its compatibility equation is given by du + \(\frac {dp}{ρa}\) = 0.



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