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Incompressible flow around an elliptical cylin vt compressibility factor eqs 2 13b
Compressible noncirculatory flow around eqs 3 16 3
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analytic continuation analytic functions analytic potential approximation asymptotic expansions behaviour body boundary branch point Chaplygin functions Cherry ref circulatory flow coefficients commencing branch compressible flow solutions computation condition consider construction contour convergence corresponding cusped defined differential equation discussed in sec displacement vectors elliptical cylinder expression flow field follows form eq formula given in eq hand v-half plane hodograph equation hodograph manifold hodograph transformation hypergeometric function incompressible integral representations Lighthill ref Lighthill's limit lines linear mapping Math mathematical Mellin transform neighbourhood non-circulatory obtained operator parameter particular solutions Pearcey physical manifold physical plane physical significance point of view potential flow solutions properties quasi-elliptical aerofoil section represented residue theorem Riemann surface saddle point series expansions shock free flows shock wave singularities solution of eq stagnation point strain tensor streamline stromingen subsonic supersonic region Table lc tensor theory transonic flows transonic potential flow wordt z-plane