SIMILARITY SOLUTIONS IN SOME NON-LINEAR DIFFUSION PROBLEMS AND IN BOUNDARY-LAYER FLOW OF A PSEUDO-PLASTIC FLUID
- 1 May 1974
- journal article
- research article
- Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics
- Vol. 27 (2) , 193-211
- https://doi.org/10.1093/qjmam/27.2.193
Abstract
Processes in which diffusivity depends on concentration (or temperature) according to a power law are discussed by a method which enables asymptotic formulae to be obtained easily, which leads to exact analytical solutions in a few cases, and which facilitates numerical analysis in other cases. The theory is relevant to the formation of metallic particles in a phase transformation, to the flow of a pseudo-plastic fluid, and to n-diffusion; previous work on these problems is extended.Keywords
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