Analytical solutions for heat conduction problems with three kinds of periodic boundary conditions and their applications

被引：12

作者：

Xu, Xiangtian ^{[1
,2
,3
]}

Li, Gaosheng ^{[1
,3
]}

Zhao, Yuqin ^{[1
,3
]}

Liu, Tiejun ^{[4
]}

机构：

[1] Inner Mongolia Univ, Inst Transportat, Hohhot 010070, Peoples R China

[2] Inner Mongolia Univ, Collaborat Innovat Ctr Grassland Ecol Secur, Hohhot 010021, Peoples R China

[3] Inner Mongolia Univ, Sch Ecol & Environm, Hohhot 010021, Peoples R China

[4] Minist Water Resources, Inst Water Resources Pastoral Areas, Hohhot 010020, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2023年 / 442卷

基金：

中国国家自然科学基金;

关键词：

Periodic boundary conditions; Finite domain; Heat conduction; Variable separation; SEMIINFINITE MEDIUM; TEMPERATURE; DIFFUSION; LAYER; WALL;

D O I：

10.1016/j.amc.2022.127735

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present study, a general analytic expression for solving heat conduction problem in finite domain under periodic boundary conditions was suggested by using the variable separation method. Heat conduction problems under three kinds of periodic upper bound-ary conditions and constant temperature or zero-flux as bottom boundary conditions were solved respectively. By applying the analytical solutions, an equivalent method for transfer-ring the periodic heat flux and convection combination boundary condition to the Dirichlet boundary condition was proposed. In addition, the proposed solution was generalized to solve the heat conduction problem infinite domain with periodic sine-like law boundary conditions. The present study can provide references for investigating the evolution law of temperature field under complex periodic boundary conditions.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：18

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