存在热能散热器的复合材料板中的传热模型

IF 0.8 Q2 MATHEMATICS

Lobachevskii Journal of Mathematics Pub Date : 2024-08-28 DOI:10.1134/s1995080224602509

O. V. Tushavina, M. S. Egorova, P. F. Pronina

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引用次数: 0

摘要

摘要本文主要研究了各向异性板中的传热数学模型，由于材料内部的各种物理和化学变化以及边界的指数传热条件，导致热能耗尽。本文获得并研究了非线性热能流导热的二次初始边界值问题的解析解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Modeling of Heat Transfer in a Plate Made of Composite Material in the Presence of a Thermal Energy Sink

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Modeling of Heat Transfer in a Plate Made of Composite Material in the Presence of a Thermal Energy Sink

Abstract

The paper is focused on mathematical modeling of heat transfer in an anisotropic plate with heat energy drain due to various physical and chemical transformations inside the material and under conditions of exponential heat transfer at the boundary. The analytical solution of the second initial boundary value problem of heat conduction with nonlinear heat energy flow is obtained and investigated.

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来源期刊

Lobachevskii Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

42.90%

发文量

127

期刊介绍： Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.