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Received: 2 April 2018 Accepted: 6 September 2018 The present study tends to investigate unsteady MHD flow of a Casson fluid near a vertical oscillating plate through a non-Darcy porous medium. The impact of Joule heating, viscous dissipation, thermo-diffusion and Newtonian heating are taken into consideration. Incorporating dimensionless variables and parameters, governing non-dimensional equations are solved by implicit finite difference technique of Crank-Nicolson type. Numerical simulation for the fluid velocity, fluid temperature and species concentration are carried out for a range of values of regulatory flow parameters that characterize the physics of the flow graphically whereas skin friction coefficient, Nusselt number and Sherwood number for the several values of the emerging flow parameters at the plate are presented in tabular form. One of the significant findings of this analysis include that an intensification in the Newtonian heating effect causes a downfall in the rate of heat transfer at the plate whereas another important outcome of the present study is that the concentration of species will gradually increase when we consider higher order chemical reactions, but the incremental effect will almost extinguish after a certain level. The present investigation may have bearings on several engineering processes such as glass blowing, paper production, extrusion of plastic sheet, annealing and tinning of copper wire, spinning of fibers and continuous casting of metals.

Double diffusive MHD Casson fluid flow in a non-Darcy porous medium with Newtonian heating and thermo-diffusion effects