Year: 2017
Author: M. Krishna Prasad, Manpreet Kaur
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 5 : pp. 1076–1093
Abstract
The Stokes axisymmetric flow of an incompressible viscous fluid past a micropolar fluid spheroid whose shape deviates slightly from that of a sphere is studied analytically. The boundary conditions used are the vanishing of the normal velocities, the continuity of the tangential velocities, continuity of shear stresses and spin-vorticity relation at the surface of the spheroid. The hydrodynamic drag force acting on the fluid spheroid is calculated. An exact solution of the problem is obtained to the first order in the small parameter characterizing the deformation. It is observed that due to increase spin parameter value, the drag coefficient decreases. Well known results are deduced and comparisons are made with classical viscous fluid and micropolar fluid.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2015.m1200
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 5 : pp. 1076–1093
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Stokes flow micropolar fluid drag force spheroid spin vorticity relation.
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