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

被引：2

作者：

Shevelev, V. V. ^{[1
]}

机构：

[1] MIREA Russian Technol Univ, 78 Vernadskii Ave, Moscow 119454, Russia

来源：

JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS | 2023年 / 96卷 / 01期

关键词：

integral transformation; phase transition; heat conduction; interface; limited region;

D O I：

10.1007/s10891-023-02673-5

中图分类号：

O414.1 [热力学];

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.

引用

页码：168 / 177

页数：10

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