MHD Powell–Eyring fluid flow with non-linear radiation and variable thermal conductivity over a permeable cylinder

In this article, we have investigated the influence of magneto-hydro-dynamic (MHD) Powell-Eyring fluid flow in the presence of non-linear radiation, space dependent internal heat source and variable thermal conductivity over a permeable cylinder with suction/injection effects.We have considered Soret, Dufour and non-linear chemical reaction effect on heat and concentration equations.Using similarly transformation, the governing PDEs are changed into non-linear coupled ODEs and solved by R-K forth order with shooting method.The impact of various parameters such as Powell-Eyring fluid parameters (K), Dufour parameter (Du), radiation parameter (R), small scale parameter (  ), Prandtl number (Pr), curvature parameter (  ), Schmidt number (Sc), chemical reaction parameter (Kn), Eckert number (Ec), relative temperature ratio parameter ( w  ), Soret parameter (Su), magnetic field parameter (M) and (A*) and (B*) are specific and temperature heat source on axial momentum, heat and concentration profiles have been analyzed graphically and skin friction coefficient, local Nusselt number and local Sherwood number can be discussed tabulated.