Using a scale analysis approach, we model phase change (melting) for pure materials which generate internal heat 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. We show the time scales in which conduction and convection heat transfer dominate.
- Heat Transfer Division
Scale Analysis of Convective Melting With Internal Heat Generation
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Siahpush, A, & Crepeau, J. "Scale Analysis of Convective Melting With Internal Heat Generation." Proceedings of the ASME/JSME 2011 8th Thermal Engineering Joint Conference. ASME/JSME 2011 8th Thermal Engineering Joint Conference. Honolulu, Hawaii, USA. March 13–17, 2011. T10220. ASME. https://doi.org/10.1115/AJTEC2011-44162
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