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A note on Stokes flow due to a line rotlet
Author(s) -
Smith S. H.
Publication year - 1995
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300011396
Subject(s) - watson , mathematics , cylinder , flow (mathematics) , line (geometry) , stokes flow , potential flow around a circular cylinder , rotation (mathematics) , stream function , function (biology) , geometry , mathematical analysis , mechanics , open channel flow , physics , vortex , vorticity , evolutionary biology , natural language processing , computer science , biology
Summary The results developed by Watson [1] are interpreted to indicate how the slow viscous flow due to the rotation of a small circular cylinder in the presence of a stationary cylinder can be calculated. It is shown how the stream function is given as a combination of the force‐free representations corresponding to a line rotlet and a line stokeslet outside the stationary body, plus the streaming flow past the body. The coefficients which multiply these representations are calculated by techniques already described by Watson.