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Some boundary-value problems for nonlinear (N) diffusion and pseudo-plastic flow

Published online by Cambridge University Press:  17 February 2009

C. Atkinson  and
C. R. Champion
C. Atkinson
Affiliation:
Department of Mathematics, Imperial College, London SW7 2AZ
C. R. Champion
Affiliation:
Department of Mathematics, Imperial College, London SW7 2AZ
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Abstract

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In this article, exact and approximate techniques are used to obtain parameters of interest for two problems involving differential equations of power-law type. The first problem is related to non-linear steady-state diffusion, and is investigated by means of a hodograph transformation and an approximation using a path-independent integral. The second problem involves Poiseuille flow of a pseudo-plasticfluid, and a path-independent integral is derived which yields an exact result for the geometry under consideration.

Type
Research Article
Information
The ANZIAM Journal , Volume 33 , Issue 3 , January 1992 , pp. 255 - 268
Copyright
Copyright © Australian Mathematical Society 1992

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