Asymptotic Analysis of Darcy-Brinkman-Boussinesq Model for Convection in Porous Media
Changmin, Li
School of Management, Shanghai University, Shanghai, China
Xiaoqiang, Xie
Schools of Science, Shanghai Second Polytechnic University, Shanghai, China
Keywords: Boundary layers, Infinite Prandtl-Darcy number, Darcy-Brinkman-Boussinesq system, Brinkman-Darcy number, Asymptotic analysis, Uniform convergence.
Abstract
In this article, we study the asymptotic behavior of the infinite Prandtl-Darcy number Darcy-Brinkman-Boussinesq system. We derive the asymptotic expansion with respect to the Brinkman-Darcy number, which improves the result obtained by Kelliher, et al. [1].
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