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On Stokes's Current Function

. Proceedings of the Royal Society of London, 49 (296-301): 46--53 (Jan 1, 1890)
DOI: 10.1098/rspl.1890.0064

Abstract

In Maxwell's 'Electricity and Magnetism,' a view is put forward, in accordance with which we may regard any irrotational motion in a perfect liquid, for which the velocity potential is a solid zonal harmonic, as due to the juxtaposition at the origin, and upon the axis of symmetry, of sinks and sources. But, in a liquid, any irrotational motion which is symmetrical with respect to an axis gives a velocity potential which may be expressed as a sum of a series of solid zonal harmonics, their common axis being the axis of symmetry, and their origin arbitrary, provided it is excluded from...

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