Explicit analytic solution for similarity boundary layer equations. (English) Zbl 1045.76008

Liao, Shijun; Pop, Ioan

Int. J. Heat Mass Transfer 47, No. 1, 75-85 (2004).

Summary: The homotopy analysis method for strongly nonlinear problems is employed to give two kinds of explicit analytic solutions of similarity boundary-layer equations. The analytic solutions are explicitly expressed by recurrence formulas for constant coefficients, and can give accurate results in the whole regions of physical parameters.

MSC:

76D10	Boundary-layer theory, separation and reattachment, higher-order effects
76M55	Dimensional analysis and similarity applied to problems in fluid mechanics
76S05	Flows in porous media; filtration; seepage

Keywords:

porous medium; homotopy analysis method