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Creeping Flow Relative to a Porous Spherical Shell

Published online by Cambridge University Press:  05 May 2011

Ming-Da Chen  and
Wang-Long Li
Ming-Da Chen*
Affiliation:
Department of Chemical Engineering, Eastern Institute of Technology and Commerce, Kaohsiung, Taiwan 829, R. O. C.
Wang-Long Li*
Affiliation:
Department of Mechanical Engineering, National Kaohsiung University of Applied Sciences, Kaohsiung, Taiwan 80782, R.O.C.
*
*Associate Professor
**Corresponding Author, Professor
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Abstract

In this study, the problem of creeping flow relative to an isolated porous spherical shell has been examined. The Brinkman-extended Darcy equations and the Stokes' equations are utilized to model the flow in the porous region (shell region) and free fluid region (inside the core and outside the shell), respectively. The stress jump boundary conditions at the porous media/free fluid interfaces are included and the exact solution has been found. The drag experienced by the porous shell has been discussed for various jump parameters and shell thickness.

Keywords

Creeping flowBrinkman-extended Darcy equationsStress jumpPorous media
Type
Articles
Information
Journal of Mechanics , Volume 16 , Issue 3 , September 2000 , pp. 137 - 143
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2000

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References

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