A Method of Solving Oseen’s Equations and Its Application to the Flow past an Inclined Ellipsoid of Revolution

抄録

A general method of solving Oseen’s equations of motion for a three-dimensional body of any shape having a plane of symmetry is proposed. The method is based on a kind of Reynolds number expansion by transforming the general solutions of the fundamental equations of motion into an appropriate system of coordinates for the body considered. The method enables one to obtain the velocity distribution near the body and the lift and drag acting on it in the form of power series in Reynolds number, without recourse to manipulation of higher transcendental functions such as spheroidal functions for ellipsoids of revolution.
As an example of the application of the method, the uniform flow past a prolate or an oblate spheroid is considered, which is so placed that the axis of symmetry is set at an arbitrarily given angle to the uniform stream. Expansion formulae for the lift and drag coefficients are obtained to a second approximation.