A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers
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- 作者：E.J. Carr ; a ; elliot.carr@qut.edu.au" class="auth_mail" title="E-mail the corresponding author ; ecarr.maths@gmail.com" class="auth_mail" title="E-mail the corresponding author ; I.W. Turnera ; b ; i.turner@qut.edu.au" class="auth_mail" title="E-mail the corresponding author
- 关键词：Diffusion ; Multilayer ; Composite medium ; Macroscale model ; Analytical solution ; Finite volume method
- 刊名：Applied Mathematical Modelling
- 出版年：2016
- 出版时间：August 2016
- 年：2016
- 卷：40
- 期：15-16
- 页码：7034-7050
- 全文大小：2114 K
文摘
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A novel semi-analytical solution method is proposed for 1D multilayer diffusion.
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Method based on the Laplace transform and an orthogonal eigenfunction expansion.
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Method avoids solving complex transcendental equations for the eigenvalues.
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Method is accurate and efficient for a small or a large number of layers.
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An application to macroscopic modelling of multilayer diffusion is explored.