J Austral Math Soc Ser B 33 pp255--268, 1992.

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

C. Atkinson and C. R. Champion

Abstract

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-plastic fluid, and a path-independent integral is derived which yields an exact result for the geometry under consideration.

Browse the article

Authors

C. Atkinson

C. R. Champion

Department of Mathematics, Imperial College, London SW7 2AZ.