Prolate spheroid, uniform flow

Fiber motion — Jeffery orbits. The motion of ellipsoids in uniform, viscous shear flow of a Newtonian fluid was analyzed by Jeffery [32, 33] in 1922. For a prolate spheroid of aspect ratio a (defined as the ratio between the major axis and the minor axis) in simple shear flow, u°° = (zj), the angular motion of the spheroid is described... 

The solution of Stokes flow problems by internal distributions of singularities for nonspherical bodies has been discussed in a series of papers by Chwang and Wu13 and more recently by Kim.14 Here, as an example to demonstrate basic principles, we consider the relatively simple problem of uniform flow past a prolate spheroid... 

In these terms, the solution of Payne and Pells for uniform streaming flow with undisturbed velocity U past a prolate spheroid with semimajor and semiminor axes ao and bo is... 

Problem 9-17. Heat Transfer From an Ellipsoid of Revolution at Pe S> 1. In a classic paper, Payne and Pell. J. Fluid Meek 7, 529(1960)] presented a general solution scheme for axisymmetric creeping-flow problems. Among the specific examples that they considered was the uniform, axisymmetric flow past prolate and oblate ellipsoids of revolution (spheroids). This solution was obtained with prolate and oblate ellipsoidal coordinate systems, respectively. 

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