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Stokes Flow of Viscous Fluid Past a Micropolar Fluid Spheroid

Part of: Incompressible viscous fluids Foundations, constitutive equations, rheology

Published online by Cambridge University Press:  11 July 2017

M. Krishna Prasad  and
Manpreet Kaur
M. Krishna Prasad*
Affiliation:
National Institute of Technology, Department of Mathematics Raipur-492010, Chhattisgarh, India
Manpreet Kaur*
Affiliation:
National Institute of Technology, Department of Mathematics Raipur-492010, Chhattisgarh, India
*
*Corresponding author. Email:madaspra.maths@nitrr.ac.in, kpm973@gmail.com (M. K. Prasad), manpreet.kaur22276@yahoo.com (M. Kaur)
*Corresponding author. Email:madaspra.maths@nitrr.ac.in, kpm973@gmail.com (M. K. Prasad), manpreet.kaur22276@yahoo.com (M. Kaur)
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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.

Keywords

Stokes flowmicropolar fluiddrag forcespheroidspin vorticity relation

MSC classification

Secondary: 76A05: Non-Newtonian fluids 76D07: Stokes and related (Oseen, etc.) flows
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 5 , October 2017 , pp. 1076 - 1093
Copyright
Copyright © Global-Science Press 2017 

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