1953•Mathematical Proceedings of the Cambridge Philosophical SocietyRequires access

A note on Stokes's stream function for motion with a spherical boundary

S. F. J. Butler

Abstract

The circle theorem of Milne-Thomson(1) connecting the complex potential in a two-dimensional irrotational flow about a circular cylinder with that of the flow when the cylinder is absent has a three-dimensional counterpart in the result due to Weiss (3) for the perturbed velocity potential in an unlimited irrotational flow when the rigid spherical boundary r = a is inserted.

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Key concepts: Conservative vector field, Potential flow around a circular cylinder, Cylinder, Potential flow, Stream function, Boundary (topology), Flow (mathematics), Velocity potential