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.
Casson fluid, magnetic field, thermal radiation, viscous and joule dissipations, Soret effect
 Casson N. (1959). A flow equation for the Pigment-oil suspensions of the printing ink type. In: Rheology of Disperse Systems, Pergamon New York. 84-102.
 Khalid I, Khan A, Khan, Shafie S. (2015). Unsteady MHD free convection flow of Casson fluid past over an oscillating vertical plate embedded in a porous medium. Engineering Science and Technology, an International Journal 18(3): 309-317. https://doi.org/10.1016/j.jestch.2014.12.006
 Kataria HR, Patel HR. (2016). Radiation and chemical reaction effects on MHD Casson fluid flow past an oscillating vertical plate embedded in porous medium. Alexandria Engineering Journal 55: 583-595. https://doi.org/10.1016/j.aej.2016.01.019
 Hussanan MZ, Khan SI, Tahar RM. (2017). Heat transfer in magnetohydrodynamic flow of a Casson fluid with porous medium and Newtonian heating. Journal of Nanofluids 6(4): 784-793.
 Seth GS, Tripathi R, Mishra MK. (2017). Hydromagnetic thin film flow of a Casson fluid in a non-Darcy porous medium with Joule dissipation and Navier’s partial slip. Applied Mathematics and Mechanics (English Edition) 38(11): 1613-1626.
 Makinde OD. (2012.). Chemically reacting hydromagnetic unsteady flow of a radiating fluid past a vertical plate with constant heat flux. Zeitschrift für Naturforschunga 67(5): 239-247. https://doi.org/10.5560/ZNA.2012-0014
 Das M, Mahato R, Nandkeolyar R. (2015). Newtonian heating effect on unsteady hydromagnetic Casson fluid flow past a flat plate with heat and mass transfer. Alexandria Engineering Journal 54(4): 871-879. https://doi.org/10.1016/j.aej.2015.07.007
 Seth GS, Bhattacharyya A, Tripathi R. (2017). Effect of hall current on MHD natural convection heat and mass transfer flow of rotating fluid past a vertical plate with ramped wall temperature. Frontiers in Heat and Mass Transfer (FHMT) 9(21): 12.
 Ali F, Gohar M, Khan I. (2016). MHD flow of water-based Brinkman type nanofluid over a vertical plate embedded in a porous medium with variable surface velocity, temperature and concentration. Journal of Molecular Liquids 223: 412-419.
 Singh K, Kumar M. (2014). Melting heat transfer in boundary layer stagnation point flow of MHD micro-polar fluid towards a stretching / shrinking surface. Jordan Journal of Mechanical and Industrial Engineering 8(6): 403-408.
 Ibrahim SM, Lorenzini G, Kumar PV, Raju CSK. (2017). Influence of chemical reaction and heat source on dissipative MHD mixed convection flow of a Casson nanofluid over a nonlinear permeable stretching sheet. International Journal of Heat and Mass Transfer 111: 346-355. https://doi.org/10.1016/j.ijheatmasstransfer.2017.03.097
 Mahatha BK, Nandkeolyar R, Mahto GK, Sibanda P. (2016). Dissipative effects in hydromagnetic boundary layer nanofluid flow past a stretching sheet with Newtonian heating. Journal of Applied Fluid Mechanics 9(4): 1977-1989.
 Hayat T, Shafiq A, Farooq MA, Alsulam HH, Shehzad SA. (2016). Newtonian and Joule heating effects in two-dimensional flow of Williamson fluid. Journal of Applied Fluid Mechanics 9(4): 1969-1975.
 Singh K, Kumar M. (2016). Effects of thermal radiation on mixed convection flow of a micro-polar fluid from an unsteady stretching surface with viscous dissipation and heat generation/abs. International Journal of Chemical Engineering 10. http://dx.doi.org/10.1155/2016/8190234
 Yih KA. (2000). Viscous and Joule heating effects on non-Darcy MHD natural convection flow over a permeable sphere in porous media with internal heat generation. International Communications in Heat and Mass Transfer 27(4): 591-600. https://doi.org/10.1016/S0735-1933(00)00141-X
 Abo-Eldahab EM, El Aziz MA. (2005). Viscous dissipation and Joule heating effects on MHD free convection from a vertical plate with power-law variation in surface temperature in the presence of Hall and ion-slip currents. Applied Mathematical Modelling 29(6): 579-595.
 Jaber KK. (2014). Effects of viscous dissipation and Joule heating on MHD flow of a fluid with variable properties past a stretching vertical plate. European Scientific Journal 10(33): 383-393.
 Singh K, Kumar M. (2015). Effect of viscous dissipation on double stratified MHD free convection in Micro-polar fluid flow in porous media with chemical reaction, heat generation and Ohmic eating. Chemical and Process Engineering Research 31, ISSN 2224-7467, ISSN 2225-0913 (Online).
 Seth GS, Kumar R, Bhattacharyya A. (2018). Entropy generation of dissipative flow of carbon nanotubes in rotating frame with Darcy-Forchheimer porous medium. Journal of Molecular Liquids 268: 637-646.
 Eckert ERG, Drake RM. (1972). Analysis of Heat and Mass Transfer, 1st Edition, McGraw-Hill.
 Seth GS, Tripathi R, Rashidi MM. (2017). Hydromagnetic natural convection flow in a non-Darcy medium with Soret and Dufour effects past an inclined stretching sheet. Journal of Porous Media 20(10): 941-960.
 Jha BK, Singh AK. (1990). Soret effects on free-convection and mass transfer flow in the Stokes problem for an infinite vertical plate. Astrophysics and Space Science 173(2): 251-255.
 Reddy BP, Rao JA. (2011). Radiation and thermal diffusion effects on an unsteady MHD free convection mass-transfer flow past an infinite vertical porous plate with the Hall current and a heat source. Journal of Engineering Physics and Thermophysics 84(6): 1369-1378.
 Seth GS, Kumbhakar B, Sarkar S. (2015). Soret and Hall effects on unsteady MHD free convection flow of radiating and chemically reactive fluid past a moving vertical plate with ramped temperature in rotating system. International Journal of Engineering Science and Technology 7(2): 94-108.
 Kataria HR, Patel HR. (2016). Soret and heat generation effects on MHD Casson fluid flow past an oscillating vertical plate embedded through porous medium. Alexandria Engineering Journal 55(3): 2125-2137.
 Kaviany M. (1986). Non Darcian effect on natural convection in porous medium confined between horizontal cylinders. International Journal of Heat and Mass Transfer 29(10): 1513-1519.
 Yang D, Yang Y, Costa VAF. (2009). Numerical simulation of non-Darcian flow through a porous medium. Particuology 7(3): 193-198.
 Mahmoud MAA. (2009). Heat generation/absorption and viscous dissipation effects on MHD flow of a micropolar fluid over a moving permeable surface embedded in a non-Darcian porous medium. Journal of the Korean Physical Society 54(4): 1526-1531.
 Olanrewaju PO. (2012). Effects of internal heat generation on hydromagnetic non-Darcy flow and heat transfer over a stretching sheet in the presence of thermal radiation and Ohmic dissipation. World Applied Science Journal 16: 37-45.
 Singh K, Kumar M. (2015). The effect of chemical reaction and double stratification on MHD free convection in micro-polar fluid in heat generation and Ohmic heating. Jordan Journal of Mechanical and Industrial Engineering 9(4): 279-288.
 Singh K, Kumar M. (2018). Influence of chemical reaction on MHD boundary layer flow of a micropolar fluid over a wedge with Hall and ion-slip currents. International Journal of Engineering Papers 3(1): 1-9.
 Singh K, Kumar M. (2016). Influence of chemical reaction on heat and mass transfer flow of a micropolar fluid over a permeable channel with radiation and heat generation. Journal of Thermodynamics. http://dx.doi.org/10.1155/2016/8190234
 Singh K, Pandey A, Kumar M. (2018). Analytical approach to a stagnation point flow and heat transfer of a micropolar fluid via a permeable shrinking sheet with slip and convective boundary conditions. Heat Transfer Research. http://dx.doi.org/10.1615/HeatTransRes.2018024647
 Seth GS, Mahto N, Tripathi R, Kumar R. (2018). Free-stream-induced unsteady MHD Flow with hall effect over permeable plate in a rotating system. applications of fluid dynamics. Lecture notes in Mechanical Engineering. https://doi.org/10.1007/978-981-10-5329-0_4
 Shit GC, Haldar R, Mandal S. (2017). Entropy generation on MHD flow and convective heat transfer in a porous medium of exponentially stretching surface saturated by nanofluids. Advanced Powder Technology 28(6): 1519-1530.
 Narhari M, Nayan MY. (2011). Free convection flow past an impulsively started infinite vertical plate with Newtonian heating in the presence of thermal radiation and mass diffusion. Turkish Journal of Engineering and Environmental Sciences 35: 187-198.
 Carnahan B, Luther HA, Wilkes JO. Applied numerical methods. John Wiley & Sons, New York, 1969.
 Potter D. (1973). Computational Physics. Wiley, Hoboken.
 Magyari E, Pantokratoras A. (2011). Note on the effect of thermal radiation in the linearized Rosseland approximation on the heat transfer characteristics of various boundary layer flows. International Communications in Heat and Mass Transfer 38(5): 554-556.