MHD Micropolar fluid flow towards a vertical surface in presence of heat source / sink under radiative heat flux

A steady two-dimensional incompressible magnetohtdrodynamics micropolar uid ow towards a stretching or shrinking vertical sheet under suc- tion or blowing with prescribed surface heat ux is studied in this paper. The transport equations employed in the analysis include the eect of radiative heat ux under mixed convection. Similarity transformation is used to convert the governing non-linear boundary-layer equations to coupled higher order nonlin- ear ordinary dierential equation. These transformed dierential equations are solved numerically by a nite-dierence scheme, known as Keller-box method. Numerical results are obtained for the velocity, microrotation and temperature distributions, as well as the skin friction coecient and local Nusselt number for various parameters and then these are shown graphically. Dual similarity solutions are found to exist for the opposing ow, while for the assisting ow, the solution is unique. Suction, applied magnetic eld and micropolar uids delay the boundary-layer seperation and exibit drag reduction as compared to the non-suction, non-magnetic eld and classical Newtonian uid respectively. The present results are compared with available results in literature and found a good agreement with them.