Abstract
Improved quasi-steady state approximation solutions were obtained for Stefan problem under the second kind boundary condition, both in Cartesian and cylindrical coordinate, based on traditional quasi-steady state approximation and the first law of thermodynamics. For Cartesian coordinate condition, the solution has high accuracy, and it is convenient for practical use for its explicit form. For cylindrical coordinate solution, the provided approximation solution is the only solution reported in the literature. The proposed improved solutions take sensible heat into consideration and greatly improve the accuracy of traditional method, it enriched the analysis method for Stefan problem, which has definite physical meaning and can be served as reference for quick preliminary calculation of practical problems.
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