An analytical method to solve heat conduction in layered spheres with time-dependent boundary conditions

被引：23
|
作者：
Lu, XS
Viljanen, M
机构：
[1] Helsinki Univ Technol, Dept Civil & Environm Engn, Lab Struct Engn & Bldg Phys, FIN-02015 Espoo, Finland
[2] Finnish Inst Occupat Hlth, Dept Physiol, FIN-00250 Helsinki, Finland
来源：
PHYSICS LETTERS A | 2006年 / 351卷 / 4-5期
关键词：
layered sphere; heat conduction; analytical method; Laplace transform;
D O I：
10.1016/j.physleta.2005.11.017
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
An analytical method is proposed to solve the equation of heat conduction in a layered sphere subject to a time-dependent boundary temperature. It is well known that for such problems in general, eigenvalue and residue computation poses a challenge, which can become too complicated to handle with many layers. In this Letter, the proposed analytical method is free of eigenvalue and residue calculations. A closed-form approximate solution is derived with high accuracy. (c) 2005 Elsevier B.V. All rights reserved.
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页码：274 / 282
页数：9
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