The Method of Integral Transformations for Solving Boundary-Value Problems for the Heat Conduction Equation in Limited Areas Containing a Moving Boundary

被引：0
作者：
V. V. Shevelev
机构：
[1] MIRÉA — Russian Technological University,
来源：
Journal of Engineering Physics and Thermophysics | 2023年 / 96卷
关键词：
integral transformation; phase transition; heat conduction; interface; limited region;
D O I：
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中图分类号：
学科分类号：
摘要：
A method of integral transformations for solving the boundary-value problems for the equation of heat conduction in limited regions containing a moving boundary of phase transition has been developed. New integral representations of the solutions of boundary-value problems for the heat conduction equation under different boundary conditions assigned on the outer fixed boundaries of a limited region are obtained. The analytical expressions obtained by the proposed method for solving the indicated boundary-value problems are convenient for calculating and studying the temperature fields, as well as the velocity of motion of the interface at large Fourier numbers.
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页码：168 / 177
页数：9
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