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On the investigation of a circulatory flow around a torus. (Russian) Zbl 0618.76016

Chislennye Metody Mekh. Sploshnoj Sredy 16, No. 4, 31-45 (1985).
The authors face a problem on lengthwise flow of an ideal incompressible circulatory fluid around a torus and present a solution. The flow function and associated masses are expressed by factorization into Legendre functions in a toroidal coordinate system. The article contains figures for various circulation values and calculates the associated masses of different toroids.

MSC:

76B99 Incompressible inviscid fluids
76M99 Basic methods in fluid mechanics
76U05 General theory of rotating fluids