Note on the Velocity Distribution over an Elliptic Cylinder Submerged in a Uniform Flow of Compressible Fluid

Abstract

The exact analytical expression, correct to M⁴, for the velocity distribution over an elliptic cylinder which is submerged in a uniform, flow of a compressible fluid (cf. J. Phys Soc. Japan, 6 (1951) 168) is expanded in ascending powers of θ, the eccentric angle of the ellipse, in order to reduce the expression into a more tractable form. Numerical values of coefficients of θ and θ³ are given for various values of thickness ratio t ranging from 0 to 1.0, and it is shown that the convergency of the M²-expansion method is very good near the stagnation point.