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Resistance on a sphere due to a circular vortex filament in an uniform flow of a perfect liquid
Author(s) -
Mitra M. K.
Publication year - 1959
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19590390107
Subject(s) - bernoulli's principle , legendre polynomials , vortex , flow (mathematics) , physics , mechanics , protein filament , motion (physics) , classical mechanics , flow resistance , potential flow , stream function , mathematics , mathematical analysis , materials science , thermodynamics , vorticity , composite material
This paper gives a formula for resistance (in series of Legendre functions) on a sphere due to a circular vortex filament in an uniform flow of a perfect liquid. The stream function of the motion has been found by Butler's sphere Theorem and then the resistance on the sphere is calculated by means of Bernoulli's pressure equation.