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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) \(\frac {du}{ρa}\) = 0I got this question during an online interview.This key question is from Philosophy of Method of Characteristics topic in division Numerical Techniques for Steady Supersonic Flow of Aerodynamics

Answer»

Right option is (b) du – \(\frac {dp}{ρa}\) = 0

To elaborate: 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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