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ARTICLE

Rotational Motion of Micropolar Fluid Spheroid in Concentric Spheroidal Container

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1 Department of Mathematics, National Institute of Technology, Raipur-492010, Chhattisgarh, India.

Fluid Dynamics & Materials Processing 2017, 13(2), 107-125. https://doi.org/10.3970/fdmp.2017.013.107

Abstract

The slow steady rotation of a micropolar fluid spheroid whose shape deviates slightly from that of a sphere in concentric spheroidal container filled with Newtonian viscous fluid is studied analytically. The boundary conditions used are the continuity of velocity and stress components, and spin vorticity relation. The torque and wall correction factor exerted on the micropolar fluid spheroid is obtained. The dependence of wall correction factor on the micropolarity parameter, spin parameter, viscosity ratio and deformation parameter is studied numerically and its variation is presented graphically. In the limiting cases, the torque acting on solid spheroid in spheroidal container and on the solid spheroid in unbounded medium are obtained from the present analysis.

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Keywords

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