A Series Solution for Heat Conduction Problem with Phase Change in a Finite Slab
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...
| Published in: | Abstract and Applied Analysis |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Online Access: | http://dx.doi.org/10.1155/2014/684293 |
| 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. |
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| ISSN: | 1085-3375 1687-0409 |