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

作者：Cheng, J; Liao, SJ^*; Pop, I

来源：Transport in Porous Media, 2005, 61(3): 365-379.

DOI：10.1007/s11242-005-0546-7

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

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.

• 出版日期2005-12
• 单位上海交通大学