Induced Magnetic Field Effects on Mixed Convection

2014 
Steady magnetohydrodynamic mixed convective flow of viscous and incompressible fluid in vertical walls having linear axial temperature variation along the surface is studied. Induced magnetic field produced by motion of electric conducting fluid is taken account. The governing partial differential equations are transformed into a system of ordinary differential equations, which is then solved analytically for three different cases depending upon the values of the Rayleigh number and Hartmann Number. Graphical representation of the analytical solution shows that the flow pattern is of parabolic type for low Rayleigh number whereas there is a reverse type flow pattern for higher Rayleigh numbers. The nature of flow pattern can be changed formation changes from parabolic type to reversal type as the value of Rayleigh number increases. The increases strength of magnetic field is to decrease magnitude of fluid velocity, induced magnetic field and skin-friction.
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