Analytic Solutions of the Cylindrical Heat Equation with a Heat Source

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2021-12-06 DOI:10.1134/S1061920821040129

H. M. Srivastava, K.-Y. Kung, S.-F. Lee, S.-D. Lin

引用次数: 0

Abstract

In this article, the superposition and the separation of variables methods are applied in order to investigate the analytical solutions of a heat conduction equation in cylindrical coordinates. The structures of the transient temperature and the heat transfer distributions are summed up for a direct mix of the results of the Fourier–Bessel series of the exponential type for the partial differential equation which we investigate here. Relevant connections of the results, which we have presented in this article, with those in some other closely-related earlier works are also indicated.

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带热源圆柱热方程的解析解

本文应用变量的叠加和分离方法研究了圆柱坐标系下热传导方程的解析解。对于我们研究的偏微分方程的指数型傅里叶-贝塞尔级数的直接混合结果，总结了瞬态温度和传热分布的结构。本文还指出了我们在本文中提出的结果与其他一些密切相关的早期工作中的结果之间的相关联系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.