Improved Quasi-Steady-State Approximation Analysis of Stefan Problems Under 2nd-Kind Boundary Conditions

YANG Xiaohu; LI Shaodan; CHEN Kai

doi:10.21656/1000-0887.420141

Volume 43 Issue 11

Nov. 2022

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Article Navigation > Applied Mathematics and Mechanics > 2022 > 43(11): 1249-1258

YANG Xiaohu, LI Shaodan, CHEN Kai. Improved Quasi-Steady-State Approximation Analysis of Stefan Problems Under 2nd-Kind Boundary Conditions[J]. Applied Mathematics and Mechanics, 2022, 43(11): 1249-1258. doi: 10.21656/1000-0887.420141

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Improved Quasi-Steady-State Approximation Analysis of Stefan Problems Under 2nd-Kind Boundary Conditions

doi: 10.21656/1000-0887.420141

Science and Technology on Thermal Energy and Power Laboratory, Wuhan Second Ship Design and Research Institute, Wuhan 430205, P.R.China

Received Date: 2021-05-20
Rev Recd Date: 2021-09-20

Available Online: 2022-10-10

Publish Date: 2022-11-30

Abstract

Abstract

Improved quasi-steady-state approximation solutions were obtained for Stefan problems under the 2nd-kind boundary conditions, both in Cartesian and cylindrical coordinates, based on the traditional quasi-steady state approximation and the 1st law of thermodynamics. For the Cartesian coordinate condition, the solution has high accuracy, and is convenient for practical use for its explicit form. For the cylindrical coordinate solution, the presented approximation solution is the only solution reported in the related literatures. The proposed improved solutions take sensible heat into consideration and greatly promote the accuracy of traditional methods, and enrich the analysis methods for the Stefan problems, with definite physical meaning of a useful reference for quick preliminary calculation of practical problems.
- energy storage,
- phase change material,
- Stefan problem,
- 2nd-kind boundary condition,
- quasi-steady state approximation,
- dimensionless correlation

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References(18)

References

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