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
收藏
页码：168 / 177
页数：10
相关论文
共 21 条
  • [1] Borisov VT., 1987, Theory of Two-Phase Zone of Metallic Ingot
  • [2] SOLUTION OF PHASE-TRANSFORMATION PROBLEMS BY THE METHOD OF EXTENSION OF BOUNDARIES
    Chernyshov, A. D.
    [J]. JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS, 2009, 82 (03) : 574 - 583
  • [3] REYNOLDS ANALOGY BASED ON THE THEORY OF STOCHASTIC EQUATIONS AND EQUIVALENCE OF MEASURES
    Dmitrenko, A. V.
    [J]. JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS, 2021, 94 (01) : 186 - 193
  • [4] Grinberg GA., 1969, PRIKL MAT MEKH, V33, P269
  • [5] Grinberg GA., 1979, ZH TEKH FIZ+, V60, P2025
  • [6] Grinberg GA., 1967, PMM-J APPL MATH MEC, V31, P393
  • [7] Kartashov E. M., 2001, ANAL METHODS THEORY
  • [8] Kartashov E. M., 1979, IZV VUZ FIZ, P108
  • [9] Application of the Monte Carlo Method to the Solution of Heat Transfer Problem in Nanofluids
    Kravchuk A.V.
    Avramenko A.A.
    [J]. Kravchuk, A.V. (kravchuk018@gmail.com), 1600, Springer Science and Business Media, LLC (90): : 1107 - 1114
  • [10] LYUBOV BY, 1969, KINETIC THEORY PHASE
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