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

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.


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
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