Abstract

A symmetrical flow pattern due to the motion of a viscous liquid past an ellipsoidal body is determined. A unitary treatment of the flow problem is possible in which the pure potential flow, the slow viscous flow and the type of flow postulated in the Prandtl theory are seen to be limiting cases of an exact solution. The flow pattern for the case of the sphere and of the elliptic cylinder have been derived as special cases. The method consists in extending the equations of hydrodynamics by the introduction of certain fictitious body forces which are eventually made to vanish in the limit.

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