Abstract
Because of the great importance of thermal instability in nature, in chemical processes, in separation processes, in industrial applications as well as in geophysical and astrophysical engineering, the effect of thermal diffusion on the combined MHD heat transfer in an unsteady flow past a continuously moving semi-infinite vertical porous plate which is subjected to constant heat has been investigated numerically under the action of strong applied magnetic field taking into account the induced magnetic field. This study is performed for cooling problem with lighter and heavier particles. Numerical solutions for the velocity field, induced magnetic field as well as temperature distribution are obtained for associated parameters using the explicit finite difference method. The obtained results are also discussed with the help of graphs to observe effects of various parameters on the above mentioned quantities.
Highlights
Magnetohydrodynamics (MHD) is currently undergoing a period of great enlargement and differentiation ofHow to cite this paper: Islam, A., Islam, M.M., Rahman, M., Ali, L.E. and Khan, Md.S. (2016) Unsteady Heat Transfer of Viscous Incompressible Boundary Layer Fluid Flow through a Porous Plate with Induced Magnetic Field
We investigated numerically the transient heat transfer of viscous incompressible boundary layer fluid flow through a porous plate with induced magnetic field taking into account the strong magnetic field with constant heat fluxes
In order to analyze the physical situation of the model, we have computed the steady state numerical values of the non-dimensional velocity U, induced magnetic field H x and temperature T within the boundary layer for different values of magnetic parameter (M), magnetic diffusivity ( Pm ), Grashof number (Gr ), Prandtl number ( Pr ) and Eckert number ( Ec )
Summary
Magnetohydrodynamics (MHD) is currently undergoing a period of great enlargement and differentiation of. An analytical study of the one dimensional steady combined heat and mass transfer by mixed convection flow of an incompressible electrically conducting viscous fluid past an electrically non-conducting continuously moving infinite vertical porous plate under the action of strong magnetic field with constant suction velocity, constant heat and mass fluxes was done by Chaudhary and Sharma [12]. They used perturbation technique to obtain the solution and did not show the complete results due to some analytical restrictions Along with these studies, the effect of thermal diffusion on MHD free convection and mass transfer flows have been considered by many investigators due to its important role in isotope separation and in mixtures between gases with very light molecular weight (H2,He,) and medium molecular weight (N2, air) (Eckert and Drake, [13]). The results of this study will be discussed for the different values of the wellknown parameters and shown graphically
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