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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