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CREEPING FLOW PAST A POROUS APPROXIMATELY SPHERICAL SHELL: STRESS JUMP BOUNDARY CONDITION

Part of: Foundations, constitutive equations, rheology

Published online by Cambridge University Press:  05 December 2011

D. SRINIVASACHARYA  and
M. KRISHNA PRASAD
D. SRINIVASACHARYA*
Affiliation:
Department of Mathematics, National Institute of Technology, Warangal – 506 004, A.P., India (email: [email protected], [email protected], [email protected])
M. KRISHNA PRASAD
Affiliation:
Department of Mathematics, National Institute of Technology, Warangal – 506 004, A.P., India (email: [email protected], [email protected], [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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The creeping flow of an incompressible viscous liquid past a porous approximately spherical shell is considered. The flow in the free fluid region outside the shell and in the cavity region of the shell is governed by the Navier–Stokes equations. The flow within the porous annular region of the shell is governed by Brinkman’s model. The boundary conditions used at the interface are continuity of the velocity, continuity of the pressure and Ochoa-Tapia and Whitaker’s stress jump condition. An exact solution for the problem and an expression for the drag on the porous approximately spherical shell are obtained. The drag is evaluated numerically for several values of the parameters governing the flow.

Keywords

porous approximately spherical shellStokes flowBrinkman equationstress jump coefficient

MSC classification

Secondary: 76A05: Non-Newtonian fluids
Type
Research Article
Information
The ANZIAM Journal , Volume 52 , Issue 3 , January 2011 , pp. 289 - 300
Copyright
Copyright © Australian Mathematical Society 2011

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