A series solution for heat conduction problem with phase change in a finite slab
type: Item
instance of: scholarly article
title: A series solution for heat conduction problem with phase change in a finite slab
zbMATH Open document ID: 1474.35354
DOI: 10.1155/2014/684293
author: Ryoichi Chiba
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A two-dimensional differential transform method is applied to solve one-dimensional phase change problems in a slab of finite thickness, which is subjected to convective thermal loading at one surface and a constant prescribed temperature at the other. In the problems, the initial temperature of the slab does not necessarily have to be the same as the fusion temperature. A series solution is derived for the temperature profile in the melting or solidifying slab with temperature-dependent thermal conductivity and volumetric heat capacity. The latent heat effect of the phase change is incorporated into the temperature-dependent heat capacity. Numerical results demonstrate the effects of the temperature-dependent parameters on the transient temperature profile of the slab.
Mathematics Subject Classification ID: 35K10
Mathematics Subject Classification ID: 30C10
Mathematics Subject Classification ID: 80A19
Mathematics Subject Classification ID: 80M99
zbMATH DE Number: 7022873
Wikidata QID: Q59040573
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/684293
OpenAlex ID: W2087514287
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description: scientific article; zbMATH DE number 7022873