Interplay of electrically conducting and non conducting walls on magnetohydrodynamic mixed convection flow in vertical permeable micro-channel in existence of induced magnetic field

摘要

In this article, flow formation of fully developed mixed convection flow of an incompressible, viscous and electrically conducting fluid in vertical permeable micro-channel in presence of induced magnetic field is analyzed. The effects of velocity slip and temperature jump are taken into account. The influence of induced magnetic field arising due to the motion of an electrically conducting fluid in the presence of transverse magnetic field is taken into consideration. The governing equations of the motion are a set of simultaneous ordinary differential equations and their exact solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expressions for the induced current density and skin friction have also been obtained. Numerical procedures are examined for various active parameters namely: suction/injection, rarefaction, fluid wall interaction, mixed convection, Hartmann number and the magnetic Prandtl number. Results revealed that, increase in Hartmann number and magnetic Prandtl number causes a pronounced reduction in skin friction.