Volume 9, Issue 5
Stokes Flow of Viscous Fluid Past a Micropolar Fluid Spheroid

M. Krishna Prasad & Manpreet Kaur

Adv. Appl. Math. Mech., 9 (2017), pp. 1076-1093.

Published online: 2018-05

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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 spinvorticity 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 flow, micropolar fluid, drag force, spheroid, spin vorticity relation.

  • AMS Subject Headings

76A05, 76D07

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-9-1076, author = {}, title = {Stokes Flow of Viscous Fluid Past a Micropolar Fluid Spheroid}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {5}, pages = {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 spinvorticity 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2015.m1200}, url = {http://global-sci.org/intro/article_detail/aamm/12190.html} }
TY - JOUR T1 - Stokes Flow of Viscous Fluid Past a Micropolar Fluid Spheroid JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 1076 EP - 1093 PY - 2018 DA - 2018/05 SN - 9 DO - http://doi.org/10.4208/aamm.2015.m1200 UR - https://global-sci.org/intro/article_detail/aamm/12190.html KW - Stokes flow, micropolar fluid, drag force, spheroid, spin vorticity relation. AB -

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 spinvorticity 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.

M. Krishna Prasad & Manpreet Kaur. (2020). Stokes Flow of Viscous Fluid Past a Micropolar Fluid Spheroid. Advances in Applied Mathematics and Mechanics. 9 (5). 1076-1093. doi:10.4208/aamm.2015.m1200
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