This paper presents solutions to a one-dimensional solid-liquid phase change problem using the integral method for a semi-infinite material that generates internal heat. The analysis assumed a quadratic temperature profile and a constant temperature boundary condition on the exposed surface. We derived a differential equation for the solidification thickness as a function of the internal heat generation (IHG) and the Stefan number, which includes the temperature of the boundary. Plots of the numerical solutions for various values of the IHG and Stefan number show the time-dependant behavior of both the melting and solidification distances and rates. The IHG of the material opposes solidification and enhances melting. The differential equation shows that in steady-state, the thickness of the solidification band is inversely related to the square root of the IHG. The model also shows that the melting rate initially decreases and reaches a local minimum, then increases to an asymptotic value.
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12th International Conference on Nuclear Engineering
April 25–29, 2004
Arlington, Virginia, USA
Conference Sponsors:
- Nuclear Engineering Division
ISBN:
0-7918-4689-X
PROCEEDINGS PAPER
Integral Solutions of Phase Change With Internal Heat Generation Available to Purchase
Ali Siahpush,
Ali Siahpush
Idaho National Engineering and Environmental Laboratory, Idaho Falls, ID
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John Crepeau
John Crepeau
University of Idaho, Idaho Falls, ID
Search for other works by this author on:
Ali Siahpush
Idaho National Engineering and Environmental Laboratory, Idaho Falls, ID
John Crepeau
University of Idaho, Idaho Falls, ID
Paper No:
ICONE12-49412, pp. 339-344; 6 pages
Published Online:
November 17, 2008
Citation
Siahpush, A, & Crepeau, J. "Integral Solutions of Phase Change With Internal Heat Generation." Proceedings of the 12th International Conference on Nuclear Engineering. 12th International Conference on Nuclear Engineering, Volume 3. Arlington, Virginia, USA. April 25–29, 2004. pp. 339-344. ASME. https://doi.org/10.1115/ICONE12-49412
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