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An explicit analytic solution for convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream. (English) Zbl 1211.76159

Int. J. Eng. Sci. 43, No. 10, 859-874 (2005); erratum ibid. 45, No. 2-8, 716-717 (2007).
Summary: An analytic technique, namely the homotopy analysis method, is applied to study the flow and heat transfer characteristics in an electrically conducting fluid near an isothermal sheet. The sheet is linearly stretched in the presence of a uniform free stream of constant velocity and temperature. The effects of free convection and internal heat generation or absorption are also considered. Within the framework of boundary layer approximations, the explicit, totally analytic and uniformly valid solutions governed by a set of three fully coupled, highly non-linear equations are obtained, which agree well with numerical results.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76R10 Free convection
80A20 Heat and mass transfer, heat flow (MSC2010)
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