An Analytical Solution of the Time-Dependent Diffusion Equation in a Composite Slab

被引：1
|
作者：
Glivici-Cotruta, Varvara [1 ]
Merk, Bruno [1 ]
机构：
[1] Helmholtz Zentrum Dresden Rossendorf, Reactor Safety Div, D-01328 Dresden, Germany
来源：
TRANSPORT THEORY AND STATISTICAL PHYSICS | 2012年 / 41卷 / 5-6期
关键词：
Composite slab; Diffusion; Green's function; Laplace transformation;
D O I：
10.1080/00411450.2012.671217
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The time-dependent, one-dimensional diffusion equation is solved for a finite slab of two layers. An external source is supplied to one of the layers. The differential equations are subject to the reflecting boundary conditions at the two outer boundary surfaces. The flux and the current density are continuous across the interface between two media. The exact analytical solution is expressed in terms of a Green's function. The solution is developed by the application of the Laplace transformation.
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页码：356 / 367
页数：12
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