Abstract
The present paper concerns the study of the induced magnetic field effect on mixed convection flow of viscous incompressible electrically conducting fluid in a vertical channel with symmetric and asymmetric wall heating conditions with heat generation. A steady, laminar, and fully developed flow is considered. Through the appropriate choice of dimensionless variable, the governing equations are developed and three types of thermal boundary conditions isothermal-isothermal, isoflux-isothermal, and isothermal-isoflux for the left-right wall of the channel have prescribed. The analytical solutions for the velocity field, temperature field, magnetic field, and induced current density have been acquired for three types of thermal boundary conditions. A parametric study has been conducted and, the graphical results are exhibited for the velocity field, magnetic field, induced current density, and Nusselt number.