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

Ryoichi Chiba

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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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https://doi.org/10.1155/2014/684293

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:684293

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