The nodal integral and finite difference methods are useful in the solution of one-dimensional Stefan problems describing the melting process. However, very few explicit analytical solutions are available in the literature for such problems, particularly with time-dependent boundary conditions. Benchmark cases are presented involving two test examples with the aim of producing very high accuracy when validated against the exact solutions. Test example 1 (time-independent boundary conditions) is followed by the more difficult test example 2 (time-dependent boundary conditions). As a result, the temperature distribution, position of the moving boundary and the velocity are evaluated and the results are validated.
Nodal Integral and Finite Difference Solution of One-Dimensional Stefan Problem
Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received by the Heat Transfer Division July 3, 2002; revision received November 27, 2002. Associate Editor: C. Amon.
Caldwell , J., Savovic´ , S., and Kwan , Y. (May 20, 2003). "Nodal Integral and Finite Difference Solution of One-Dimensional Stefan Problem ." ASME. J. Heat Transfer. June 2003; 125(3): 523–527. https://doi.org/10.1115/1.1565091
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