Analytic series solution for unsteady mixed convection boundary layer flow near the stagnation point on a vertical surface in a porous medium

被引：53

作者：

Cheng, J

Liao, SJ ^{[1
]}

Pop, I

机构：

[1] Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, Shanghai 200030, Peoples R China

[2] Univ Cluj, Fac Math, R-3400 Cluj Napoca, Romania

来源：

TRANSPORT IN POROUS MEDIA | 2005年 / 61卷 / 03期

基金：

中国国家自然科学基金;

关键词：

unsteady mixed convection; boundary layer flows; stagnation point; homotopy analysis method;

D O I：

10.1007/s11242-005-0546-7

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

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.

引用

页码：365 / 379

页数：15

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