Exact solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms

被引：0
作者：
Julieta Bollati
María F. Natale
José A. Semitiel
Domingo A. Tarzia
机构：
[1] CONICET,Departamento de Matemática
[2] FCE-Universidad Austral,undefined
来源：
Computational and Applied Mathematics | 2022年 / 41卷
关键词：
Stefan problem; Temperature-dependent thermal coefficients; Phase-change material; Non-classical heat equation; Heat source terms; Explicit solution; 35R35; 35C06; 80A22; 35K05;
D O I：
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摘要：
A one-phase Stefan problem for a semi-infinite material is studied for special functional forms of the thermal conductivity and specific heat depending on the temperature of the phase-change material. Using the similarity transformation technique, an exact solution for these situations are shown. The mathematical analysis is made for two different kinds of heat source terms, and the existence and uniqueness of the solutions are proved.
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