Analytic Series Solution for Unsteady Mixed Convection Boundary Layer Flow Near the Stagnation Point on a Vertical Surface in a Porous Medium

被引:0
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作者
Jun Cheng
Shijun Liao
Ioan Pop
机构
[1] Shanghai Jiao Tong University,School of Naval Architecture, Ocean and Civil Engineering
[2] University of Cluj,Faculty of Mathematics
来源
Transport in Porous Media | 2005年 / 61卷
关键词
unsteady mixed convection; boundary layer flows; stagnation point; homotopy analysis method;
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摘要
In this paper, we solve the unsteady mixed convection flow near the stagnation point on a heated vertical flat plate embedded in a Darcian fluid-saturated porous medium by means of an analytic technique, namely the Homotopy Analysis Method. Different from previous perturbation results, our analytic series solutions are accurate and uniformly valid for all dimensionless times and for all possible values of mixed convection parameter, and besides agree well with numerical results. This provides us with a new analytic approach to investigate related unsteady problems.
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页码:365 / 379
页数:14
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