The present book discusses the heat and mass transfer effects on two-dimensional steady(or unsteady) free (or mixed) convection flow of an incompressible electrically conducting fluid past a stretching sheet or vertical plate or horizontal surface or continuous moving surface bounded by porous medium(or non-porous medium), in the presence of various effects such as MHD, thermal radiation, heat generation/absorption, thermophoresis, chemical reaction, Joule heating and viscous dissipation, thermo-diffusion and diffusion-thermo. The book is divided into six chapters. The governing equations of the flow under consideration were solved with the appropriate boundary conditions by using Runge-Kutta fourth order method along with shooting technique or regular perturbation technique.