Using a scale/analytical analysis approach, we model phase change (melting) for pure materials which generate constant internal heat generation for small Stefan numbers (approximately one). The analysis considers conduction in the solid phase and natural convection, driven by internal heat generation, in the liquid regime. The model is applied for a constant surface temperature boundary condition where the melting temperature is greater than the surface temperature in a cylindrical geometry. The analysis also consider constant heat flux (in a cylindrical geometry). We show the time scales in which conduction and convection heat transfer dominate.
- Heat Transfer Division
Scale/Analytical Analyses of Freezing and Convective Melting With Internal Heat Generation
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Siahpush, A, Crepeau, J, & Sabharwall, P. "Scale/Analytical Analyses of Freezing and Convective Melting With Internal Heat Generation." Proceedings of the ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology. Volume 2: Heat Transfer Enhancement for Practical Applications; Heat and Mass Transfer in Fire and Combustion; Heat Transfer in Multiphase Systems; Heat and Mass Transfer in Biotechnology. Minneapolis, Minnesota, USA. July 14–19, 2013. V002T07A034. ASME. https://doi.org/10.1115/HT2013-17041
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