The reason of this study is to find a numerical solutions of Jeffrey's compact, non-stressed, smooth, conductive, magnetic hall currents in the vertical optical direction in the occurrence of heat_flux, “heat”(h) & group transmit. The limited dissimilarity is solved to explain the “equations”(Eq). The effect of different constraints on “velocity”(V), “temperature”(temp) & concentration distributions was investigated at the boundary layer. Also, there is a computational discussion about the effect of relevant or important factors on the coefficients of skin_friction and the rate of h and “mass”(m) relocate according to the values of Nusselt and Sherwood information correspondingly. Great interconnection is achieved by using Perturbation and Finite difference techniques. Applications of magnetic materials, MHD generators and crude oil refinements have been found in this model.

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The aim of this study carry out on an unsteady MHD at no cost convective oscillatory Couette flow of a wellknown non-Newtonian Jeffrey fluid of an optically thin fluid bounded by two horizontal porous parallel walls in a channel embedded in porous medium in the presence of thermal radiation and angle of inclination. Design and Method is the flow is governed by a coupled non-linear system of partial differential equations which are solved numerically by using finite difference method. Results are the impacts of various physical parameters on the flow quantities viz. velocity and temperature reports, skinfriction and rate of heat transfer coefficients are studied numerically. The results are discussed with the help of graphs and tables. Conclusion is the finite difference results are compared favourably with already established results in literatures.