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Stokes flow of micropolar fluid past a viscous fluid spheroid with non-zero boundary condition for microrotation

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Abstract

The Stokes axisymmetric flow of an incompressible micropolar fluid past a viscous 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 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 increased spin parameter value, the drag coefficient decreases. Well-known results are deduced and comparisons are made with classical viscous fluid and micropolar fluids.

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Acknowledgements

The authors are thankful to the reviewers for their valuable suggestions and comments.

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Authors and Affiliations

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

    M Krishna Prasad & Manpreet Kaur

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  1. M Krishna Prasad
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  2. Manpreet Kaur
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Correspondence to M Krishna Prasad.

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Prasad, M.K., Kaur, M. Stokes flow of micropolar fluid past a viscous fluid spheroid with non-zero boundary condition for microrotation. Sādhanā 41, 1463–1472 (2016). https://doi.org/10.1007/s12046-016-0565-9

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  • DOI: https://doi.org/10.1007/s12046-016-0565-9

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