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An analytical approximate solution of plane and axisymmetric stagnation-point flow with heat generation
Abstract
This work is focused on the steady boundary layer flow and heat transfer near the stagnation point of plane and axisymmetric bodies towards a stretching sheet. The analytical solutions of the velocity and temperature distributions are obtained for the various values of the ratio of free stream velocity and stretching velocity, heat source parameter, Prandtl number and dimension index in the series forms with the aid of homotopy analysis method (HAM). Convergence of the series is explicitly discussed. The effects of all the parameters mentioned above were more pronounced for plane flows than for axisymmetric flows.
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The heat transfer from a stretching sheet to a micropolar fluid is analyzed using the theory of micropolar fluids formulated by Eringen. The governing equations for momentum, angular momentum and energy have been solved numerically. Numerical data for the friction factor and Nusselt number has been tabulated for a range of Prandtl numbers. Surface mass transfer rate and the power law constant for the wall temperature have considerable influence on the heat transfer mechanism.