Semi-analytical solution of the time-dependent heat equation for three-dimensional anisotropic multi-layered media

Reitzle Dominik; Geiger Simeon; Kienle Alwin

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Semi-analytical solution of the time-dependent heat equation for three-dimensional anisotropic multi-layered media

机译：三维各向异性多层介质时变热方程的半解析解

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In this paper, a semi-analytical solution of the time-dependent heat conduction equation is presented for laterally infinite, multi-layered media with anisotropic thermal conductivities, convective outer boundaries and perfect thermal contact between the layers. Space and time-dependent moving heat sources on the boundary as well as inside the medium are considered. In addition, the outer fluid temperature may also depend on space and time. The derived solutions are successfully compared to numerical solutions. A Python implementation of the solution is made freely available. (C) 2019 Elsevier Ltd. All rights reserved.

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来源
《International Journal of Heat and Mass Transfer》 |2019年第5期|984-992|共9页
作者
Reitzle Dominik; Geiger Simeon; Kienle Alwin;
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作者单位

Univ Ulm, Inst Lasertechnol Med & Messtechn, Helmholtzstr 12, D-89081 Ulm, Germany;

Univ Ulm, Inst Lasertechnol Med & Messtechn, Helmholtzstr 12, D-89081 Ulm, Germany;

Univ Ulm, Inst Lasertechnol Med & Messtechn, Helmholtzstr 12, D-89081 Ulm, Germany;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Heat conduction; Semi-analytical; Layered media; Transient; Anisotropic; Moving source;

机译：导热;半解析;层状介质;瞬态;各向异性;移动源;

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1. Analytical solutions for anisotropic time-dependent heat equations with Robin boundary condition for cubic-shaped solid-state laser crystals [J] . Mohammad Sabaeian Applied optics . 2012,第30期

机译：具有Robin边界条件的立方固态激光晶体各向异性时变热方程的解析解
2. Analytical solutions for anisotropic time-dependent heat equations with Robin boundary condition for cubic-shaped solid-state laser crystals [J] . Mohammad Sabaeian Applied optics . 2012,第30期

机译：具有Robin边界条件的立方固态激光晶体各向异性时变热方程的解析解
3. Finite element method for solution of the three-dimensional time-dependent heat-conduction equation with application for heating of steels in reheating furnaces [J] . Lindholm Dag, Leden Bo Numerical Heat Transfer, Part A. Application: An International Journal of Computation and Methodology . 1999,第2期

机译：三维时变导热方程求解的有限元方法及其在加热炉钢加热中的应用
4. Numerical solution techniques to the time-dependent Maxwell equations for highly scattering media [C] . S. Mandel, S. Menon, W. Harshawardhan, Society of Photo-Optical Instrumentation Engineers Conference on Photon Migration, Optical Coherence Tomography, and Microscopy . 2001

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5. The development of semi-analytical solutions for three-dimensional contact problems. [D] . Li, Junshan. 2004

机译：三维接触问题的半解析解的发展。
6. The Numerical Solution of the Time-Dependent Nernst-Planck Equations [O] . H. Cohen, J. W. Cooley 1965

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7. Equations of anisotropic elastodynamics as a symmetric hyperbolic system: Deriving the time-dependent fundamental solution [O] . Yakhno V.G., Çerdik Yaslan H. 2011

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8. Three-Dimensional, Time-Dependent, Compressible, Turbulent, Integral Boundary-Layer Equations in General Curvilinear Coordinates and Their Numerical Solution. [R] . Swafford, T. W. 1983

机译：一般曲线坐标系下的三维，时间依赖，可压缩，湍流，积分边界层方程及其数值解。

Semi-analytical solution of the time-dependent heat equation for three-dimensional anisotropic multi-layered media

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