Combined Effects Of Stress Work And Heat Generation On MHD Natural Convection Flow Along A Vertical Flat Plate With Power Law Variation Of Uniform Surface Temperature
Mohammad Mahfuzul Islam, Md. M. Alam, M. M. Parvez, M. A. Rahman
Index Terms: Free Convection, Prandtl’s number, Magneto-hydrodynamics, Heat generation, Viscous Dissipation, Pressure Work and Thermal conductivity
Abstract: In this paper is presented to study conjugate effects of stress work and heat generation on MHD natural convection flow along a vertical flat plate with power law variation of surface temperature. Stress work and heat generation effects on magneto-hydrodynamics natural convection flows are considered in this investigation. With a goal to attain similarity solutions of the problem, the developed equations are made dimensionless by using suitable transformations. The non-dimensional equations are then transformed into non-similar forms by introducing non- similarity transformations. The resulting non-similar equations together with their corresponding boundary conditions based on conduction and convection are solved numerically by using the shooting method of Nachtsheim-swigert iteration technique and finite difference method together with Keller box Scheme. Numerically calculated velocity profiles and temperature profiles, skin friction and the rate of heat transfer coefficient are shown on graphs for different values of the parameters entering into the problem.
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