The magnetic fluid flow through vertical surface plays a significant impact in engineering and industrial processes of insulating materials and heat exchangers. The main theme of this mechanism is to obtain the heat and magnetic flux of viscous fluid motion along the symmetrical magnetized surface with variable viscosity, porous medium and magneto-hydrodynamic effects. The goal of present numerical research is to find the stability in thermal management of vertical magnetic plates in manufacturing processes. The mathematical analysis is performed by using stream functions and similarity variables for smooth coding in MATLAB program. The convenient form of present model is derived by using th... More >