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This book is useful for UG, PG and Researchers in the area of fluid mechanics particularly mathematical modelling of unsteady flow over a plate filled with porous layers.This book is divided into three chapters.First chapter deals with 1)Brief introduction to flow over a porous media, various boundary conditions, magneto hydrodynamics, heat and mass transfer and its application. Second Chapter deals with 2)Diffusion-Thermo and Radiation Absorption on Unsteady MHD Convective Flow over a Semi-Infinite Moving plate.3)Diffusion-Thermo on magneto hydrodynamic free convective radiative flow over a chemically reacting porous vertical plate. Diffusion thermo and porosity are very important in controlling of up and down heat and mass transport phenomena in industrial as well as engineering application.