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Which of these is the compatibility equation along C+ characteristic line?(a) du + \(\frac {dp}{ρa}\) = 0(b) du – \(\frac {dp}{ρa}\) = 0(c) \(\frac {dpu}{ρa}\) = 0(d) \(\frac {du}{ρa}\) = 0This question was posed to me in my homework.My question is from Finite Waves in division Unsteady Wave Motion of Aerodynamics

Answer» RIGHT choice is (a) du + \(\frac {DP}{ρa}\) = 0

Best explanation: C+ characteristic line is the path along which the governing partial EQUATION can be REDUCED to the ordinary differential equation. The compatibility equation along C+ line is:

du + \(\frac {dp}{ρa}\) = 0

The compatibility equation along C– line is:

du – \(\frac {dp}{ρa}\) = 0


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