Transient Heat Conduction In A Medium With Two Circular Cavities: Semi-analytical Solution

Elizaveta Gordeliy; Steven L; Crouch; Sofia G; Mogilevskaya

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Transient Heat Conduction In A Medium With Two Circular Cavities: Semi-analytical Solution

机译：具有两个圆腔的介质中的瞬态热传导：半解析解

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This paper considers a transient heat conduction problem for an infinite medium with two non-overlapping circular cavities. Suddenly applied, steady Dirichlet type boundary conditions are assumed. The approach is based on superposition and the use of the general solution to the problem of a single cavity. Application of the Laplace transform results in a semi-analytical solution for the temperature in the form of a truncated Fourier series. The large-time asymptotic formulae for the solution are obtained by using the analytical solution in the Laplace domain. The method can be extended to problems with multiple cavities and inhomogeneities.

机译：本文考虑了具有两个不重叠的圆形空腔的无限介质的瞬态热传导问题。假定突然应用了稳态Dirichlet类型边界条件。该方法基于叠加和对单个腔体问题的一般解决方案的使用。拉普拉斯变换的应用导致温度的半解析解以截短的傅里叶级数形式出现。通过使用拉普拉斯域中的解析解，可以得到该解的长时间渐近公式。该方法可以扩展到具有多个空腔和不均匀性的问题。

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来源
《International Journal of Heat and Mass Transfer》 |2008年第14期|3556-3570|共15页
作者
Elizaveta Gordeliy; Steven L; Crouch; Sofia G; Mogilevskaya;
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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
transient heat conduction; laplace transform; modified helmholtz equation; fourier series; addition theorem; asymptotic series;

机译：瞬态热传导拉普拉斯变换修正的亥姆霍兹方程傅立叶级数加定理渐近级数;

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1. Transient heat conduction in a medium with multiple circular cavities and inhomogeneities [J] . Gordeliy E, Mogilevskaya SG, Crouch SL International Journal for Numerical Methods in Engineering . 2009,第11期

机译：具有多个圆形空腔和不均匀性的介质中的瞬态热传导
2. 3D transient heat conduction in multilayer systems - Experimental validation of semi-analytical solution [J] . N. Simoes, I. Simoes, A. Tadeu, International Journal of Thermal Sciences . 2012,第Null期

机译：多层系统中的3D瞬态热传导-半解析溶液的实验验证
3. Transient heat conduction in a medium with multiple spherical cavities [J] . Gordeliy E, Crouch SL, Mogilevskaya SG International Journal for Numerical Methods in Engineering . 2009,第6期

机译：具有多个球腔的介质中的瞬态热传导
4. Three-Dimensional Transient Heat Conduction Equation Solution for Accurate Quantification of Heat Transfer Coefficient in Transient Liquid Crystal Experiments [C] . Shoaib Ahmed, Prashant Singh, Srinath V. Ekkad ASME international mechanical engineering congress and exposition . 2019

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5. An approximate solution of transient heat conduction equation by the Galerkin method. [D] . Deshpande, Nitin. 2004

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7. Three-dimensional fundamental solutions for transient heat transfer by conduction in an unbounded medium, half-space, slab and layered media [O] . Tadeu António, Simões Nuno 2006

机译：在无边界介质，半空间，平板和分层介质中通过传导进行瞬态热传递的三维基本解决方案
8. Graphical Presentation of Difference Solutions for Transient Radial Heat Conduction in Hollow Cylinders with Heat Transfer at the Inner Radius and Finite Slabs with Heat Transfer at One Boundary [R] . Hatch, J. E., Schacht, R. L., Albers, L. C., 1960

机译：内部半径传热空心圆柱瞬态径向热传导与一边界传热有限板的差分解的图解表示

Transient Heat Conduction In A Medium With Two Circular Cavities: Semi-analytical Solution

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