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

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• 作者：M Krishna Prasad ; Manpreet Kaur
• 关键词：Stokes flow ; micropolar fluid ; drag force ; spheroid ; spin–vorticity relation
• 刊名：Sādhanā
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：41
• 期：12
• 页码：1463-1472
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Engineering, general;
• 出版者：Springer India
• ISSN：0973-7677
• 卷排序：41

文摘

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.