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In this book an attempt is made to study the effect of Heat transfer on different flow patterns through different channels with permeability under the influence of magnetic field. In the First chapter, the Hall current effects are studied on free convective unsteady flow past an infinite vertical porous plate with heat sink. In the second chapter, an analysis of forced convective flow in a horizontal porous channel with an anisotropy permeability whose principal axes are arbitrary oriented under the influence of magnetic field was discussed. In the Third chapter, Time-periodic Hydro magnetic laminar mixed convection flow in an inclined channel has been studied. In the Fourth chapter, the effects of Hall currents and mass transfer on the free convective flow of stratified fluid through a porous medium past a vertical porous plate has been studied. Finally, the fully developed mixed convective heat transfer of a conducting Newtonian fluid in an open-ended vertical parallel plate micro channel under the influence of transverse magnetic field with asymmetric wall heating at uniform heat fluxes by taking the velocity slip and temperature jump at the wall into account has been studied.
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