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Stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet in a micropolar fluid. (English) Zbl 1470.76100

Summary: This paper considers the problem of a steady two-dimensional stagnation-point flow and heat transfer of an incompressible micropolar fluid over a nonlinearly stretching/shrinking sheet. A similarity transformation is employed to convert the partial differential equations into nonlinear ordinary ones which are then solved numerically using a shooting method. Numerical results obtained are presented graphically, showing the effects of the micropolar or material parameter and the stretching/shrinking parameter on the flow field and heat transfer characteristics. The dual solutions are found to exist in a limited range of the stretching/shrinking parameter for the shrinking case, while unique solutions are possible for all positive values of the stretching/shrinking parameter (stretching case). It is also observed that the skin friction coefficient and the magnitude of the local Nusselt number increase as the material parameter increases.

MSC:

76S05 Flows in porous media; filtration; seepage
76A05 Non-Newtonian fluids
80A19 Diffusive and convective heat and mass transfer, heat flow
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