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Which of these represents K+ constant along the C+ characteristic line?(a) θ + ν(M) = const(b) θ – ν(M) = const(c) θ + 2ν(M) = const(d) θ – 2ν(M) = constI have been asked this question in an internship interview.I would like to ask this question from Determination of Compatibility Equations in section Numerical Techniques for Steady Supersonic Flow of Aerodynamics

Answer»

The correct answer is (a) θ + ν(M) = const

For explanation I WOULD SAY: The K+ CONSTANT along the C+ characteristic line is obtained by INTEGRATING the compatibility equation dθ = ∓\(\sqrt {M^2 – 1}\frac {dV}{V}\). Where, ν(M) is the Prandtl – Meyer function and we obtain the K+ constant as θ + ν(M) = const.



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