Application of the Thin-Wing-Expansion Method to the Compressible Flow past an Elliptic Cylinder

Abstract

Imai’s thin-wing-expansion method is applied to a uniform flow past an elliptic cylinder at zero angle of attack, in order to obtain the analytic expressions correct to the third approximation for the complex velocity potential, and for the velocity distribution over the cylinder. Numerical calculation is made for the case t=0.1 where t is the thickness ratio of the cylinder. The convergence of the result seems to be satisfactory except near the stagnation point, where the anomalous behaviour appears.