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

Volumen 12, Ausgabe 3, 2020, pp. 249-260

DOI: 10.1615/ComputThermalScien.2020033866

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Lipi Jain
Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University, Varanasi 221005, India

Abhishek Kumar
Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University, Varanasi 221005, India

Rajeev
Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, 221005, Uttar Pradesh, India

ABSTRAKT

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.

SCHLÜSSELWÖRTER: finite difference scheme, moving boundary problem, front fixing technique, temperature dependent thermal coefficients

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