In this study, we investigate the heat and mass transfer in MHD convective flow past an infinite plate, through a porous media in presence of radiation, diffusion-thermo effect, and heat sink. A uniform magnetic field is applied transversely in the fluid region. The novelty of the present work is to analyze the diffusion-thermo effect on the flow phenomena in the presence of heat sink and thermal radiation. The governing equations are solved by perturbation technique to get expressions for velocity, temperature, and concentration fields. The influence of various physical quantities on the flow domain is studied graphically and in tabular form. It has been found that when heat flux is generated due to temperature gradient, the fluid velocity increases whereas the fluid temperature falls due to the diffusion-thermo effect. The current results have been compared with the existing results in some cases and it has been found that the findings of the present study are consistent with earlier findings.

An exact solution of unsteady MHD free convective mass transfer flow past an infinite inclined plate embedded in a saturated porous medium with variable plate velocity, temperature, and mass diffusion has been presented.

An exact solution to the problem of the natural convective flow of an optically thin viscous incompressible electrically conducting fluid past a vertical plate in a porous medium with ramped wall temperature is obtained in presence of appreciable thermal radiation. Equations governing the flow and heat transfer are solved analytically by adopting Laplace transform technique in closed form. Expressions for the velocity field and temperature field are obtained in nondimensional form. Effects of several parameters on the above fields are studied through graphs and tables and are physically interpreted. The application of the transverse magnetic field causes the flow to retard. It is found that velocity increases with increasing Grashof number. Moreover due to the increase in porosity parameter and magnetic field, the shear stress at the wall rises.

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