Free convective magnetohydrodynamic flow of Bingham fluid amid vertical parallel porous plates with viscous and induced magnetic dissipation

Abstract

The constant two-dimensional magnetohydromagnetic (MHD) free convective flow of an incompressible viscous Bingham fluid, which conducts electricity between two parallel vertical porous plates, has been looked at in the present study. The impact of an induced magnetic field caused by the velocity of an electrically conducting fluid is taken into account. A collection of simultaneous ordinary differential equations govern the motion of the fluid. By employing the perturbation approach, their dimensionless analytical solutions for the temperature field, the induced magnetic field, and the velocity field have been produced. Additionally, the expression for the induced current density was found and computed. The temperature profile, induced current density profile, induced magnetic field profile, and velocity profile are graphically illustrated as a function of several non-dimensional factors. It is discovered that the suction parameter increases the induced magnetic field but decreases the velocity field and induced current density.