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SLOW STEADY ROTATION OF A POROUS SPHERE IN A SPHERICAL CONTAINER

Volumen 15, Edición 12, 2012, pp. 1105-1110
DOI: 10.1615/JPorMedia.v15.i12.30
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SINOPSIS

The problem of steady rotation of a porous sphere located at the center of a spherical container has been investigated. The flow in the spherical container is governed by the Stokes equations. The flow within the porous sphere is governed by the Brinkman equation. The boundary conditions used at the interface are the stress jump condition for tangential stresses, continuity of the normal stresses, and velocity components. The torque experienced by the porous spherical particle is obtained. The wall correction factor is calculated. The special cases of rotation of a porous sphere and a solid sphere in an unbounded medium are obtained from the present analysis. The variations of torque and wall correction factor are studied with respect to permeability, separation parameter, and stress jump coefficient.

CITADO POR
  1. Madasu Krishna Prasad, Gurdatta Manpreet Kaur, Steady Rotation of Micropolar Fluid Sphere in Concentric Spherical Container, Procedia Engineering, 127, 2015. Crossref

  2. Ashmawy E. A., Rotary oscillation of a composite sphere in a concentric spherical cavity using slip and stress jump conditions, The European Physical Journal Plus, 130, 8, 2015. Crossref

  3. Jaiswal B. R., Slow viscous stream over a non-Newtonian fluid sphere in an axisymmetric deformed spherical vessel, The European Physical Journal Plus, 131, 8, 2016. Crossref

  4. Miari N. S., Ashmawy E. A., Unsteady rotational motion of a composite sphere in a viscous fluid using stress jump condition, Journal of Taibah University for Science, 12, 5, 2018. Crossref

  5. Prasad Madasu Krishna, Effect of Variable Viscosity on Slow Rotation of a Porous Sphere in a Cavity, in Recent Trends in Applied Mathematics, 2021. Crossref

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