This research aims to investigate the combined effects of Soret-Dufour, radiation, first order chemicalreaction, and magnetic hydrodynamics (MHD) Jeffery flow across a vertical porous plate submerged in aporous medium at varying suction velocity. The Mathematical model of the problem is governed by set of nonlinear partial differential equations. The Crank-Nicolson implicit finite difference approach has been used tonumerically solve the nonlinear partial differential equation of flow problem in this model. Graphicalrepresentations of the features of velocity, temperature, and concentration are used, while tables are used toillustrate the characteristics of skin friction, the Nusselt number, and the Sherwood number.