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Series solutions of unsteady three-dimensional MHD flow and heat transfer in the boundary layer over an impulsively stretching plate. (English) Zbl 1105.76061

Summary: We study analytically the unsteady boundary-layer flow and heat transfer in an incompressible viscous electrically conducting fluid, caused by an impulsive stretching of the surface in two lateral directions and by suddenly increasing surface temperature of surrounding fluid. By using the homotopy analysis method, we obtain accurate series solutions which are uniformly valid for all dimensionless time in the whole spatial region \(0\leqslant \eta < \infty\). To the best of our knowledge, such kind of solutions have not been reported.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
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