A Series Solution for Heat Conduction Problem with Phase Change in a Finite Slab

Ryoichi Chiba

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:684293

DOI: 10.1155/2014/684293

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