Some moving boundary problems for a generalised diffusion equation
type: Item
instance of: scholarly article
title: Some moving boundary problems for a generalised diffusion equation
zbMATH Open document ID: 0582.76092
DOI: 10.1016/0020-7225(86)90041-8
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: Diffusion controlled growth of planar, cylindrical or spherical particles is considered where the composition satisfies a generalised diffusion equation. Asymptotic methods are used to determine composition gradients near the growing particles in the cases of ''fast'' or ''slow'' growth. It is shown that in these limits under certain conditions a constant average diffusion coefficient can be defined for which the growth rate calculated from the differential equation with this constant diffusion coefficient agrees with that with the full variable coefficient. Similar considerations are also made of the case of composition dependent diffusion and bulk flow for growing spherical particles.
Mathematics Subject Classification ID: 76Rxx
zbMATH DE Number: 3932681
zbMATH Keywords: moving boundary
zbMATH Keywords: Diffusion controlled growth
zbMATH Keywords: planar, cylindrical or spherical particles
zbMATH Keywords: generalised diffusion equation
zbMATH Keywords: Asymptotic methods
zbMATH Keywords: average diffusion coefficient
zbMATH Keywords: constant diffusion coefficient
zbMATH Keywords: bulk flow for growing spherical particles
Wikidata QID: Q60171563
author: C. Atkinson
MaRDI profile type: Publication
full work available at URL: 0020-7225(86)90041-8
OpenAlex ID: W2078345449
cites work: Some qualitative properties of solutions of a generalised diffusion equation
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cites work: SOME ASYMPTOTIC RESULTS FOR THE EFFECT OF COMPOSITION-DEPENDENT DIFFUSION ON THE GROWTH RATES OF PRECIPITATE PARTICLES
cites work: n-Diffusion
description: scientific article; zbMATH DE number 3932681