A NUMERICAL STUDY OF A MOVING BOUNDARY PROBLEM WITH MIXED BOUNDARY CONDITION AND VARIABLE THERMAL COEFFICIENTS

被引：6

作者：

Jain, Lipi ^{[1
]}

Kumar, Abhishek ^{[1
]}

Rajeev ^{[1
]}

机构：

[1] Banaras Hindu Univ, Indian Inst Technol, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India

来源：

COMPUTATIONAL THERMAL SCIENCES | 2020年 / 12卷 / 03期

关键词：

finite difference scheme; moving boundary problem; front fixing technique; temperature dependent thermal coefficients; STEFAN PROBLEM; HEAT;

D O I：

10.1615/ComputThermalScien.2020033866

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This article presents a numerical study, using the finite difference method, of a moving boundary that governs the process of phase change. The mathematical model involves temperature-dependent thermal coefficients and a mixed convective boundary condition. Comparison of the exact solution and the obtained numerical solution reveals the accuracy of the results. The stability and consistency of the proposed solution are also analyzed. The effect of various parameters on the temperature distribution in the domain and the tracking of evolving interface are discussed.

引用

页码：249 / 260

页数：12

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