Analytical Approach to the Oseen Drag on a Sphere at Infinite Reynolds Number

Abstract

This paper analytically evaluates the Oseen drag coefficient $C_D $ of a sphere at infinite Reynolds number. For this purpose, the method of induced forces is used. This method enables the obtainment of a series of rationale converging to the desired value for $C_D $.The best value for $C_D $ on the basis of this series truncated to its first 50 terms has only a three-decimal accuracy. The use of the Shanks transformation in accelerated form on the truncated rational series improves the accuracy to nine decimals, yielding $C_D = 1.058250936$.