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The rotation of two circular cylinders in a viscous fluid
Author(s) -
Smith S. H.
Publication year - 1991
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/s0025579300006446
Subject(s) - biharmonic equation , mathematics , infinity , vorticity , rotation (mathematics) , resolution (logic) , mathematical analysis , viscous liquid , geometry , vortex , mechanics , physics , boundary value problem , artificial intelligence , computer science
Almost seventy years ago Jeffery [1] showed that a finite velocity can result at infinity when the biharmonic equation is solved for the titled problem. Here, we extend his calculations to show that finite vorticity is the more general conclusion, and then indicate a resolution of the apparent paradox.