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On Hele–Shaw flow of power-law fluids

Published online by Cambridge University Press:  16 July 2009

Gunnar Aronsson  and
Ulf Janfalk
Gunnar Aronsson
Affiliation:
Department of Mathematics, Linköping University, Sweden
Ulf Janfalk
Affiliation:
Department of Mathematics, Linköping University, Sweden
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Abstract

This paper reviews the governing equations for a plane Hele–Shaw flow of a power-law fluid. We find two closely related partial differential equations, one for the pressure and one for the stream function. Some mathematical results for these equations are presented, in particular some exact solutions and a representation theorem. The results are applied to Hele–Shaw flow. It is then possible to determine the flow near an arbitrary corner for any power-law fluid. Other examples are also given.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 3 , Issue 4 , December 1992 , pp. 343 - 366
Copyright
Copyright © Cambridge University Press 1992

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