Uniform Flow past a Prolate Spheroid

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 

Although there are no firm rules to determine the type of singularities that should be used, we attempt to use the qualitative insight of the preceding sections. Thus, because the net 

The proposed form, (8-167) and (8-168), clearly satisfies the creeping-flow equations (7-6) and also satisfies the ffee-stream boundary condition, namely, 

The question is whether the no-slip condition at the spheroid surface can be satisfied, that is, 

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