Unsteady MHD Free Convection Flow, Internal Heat Generation, and Bouncy Force for Boundary Layer over a Vertical Plate

The present paper's purposes are to study the effects of the magnetic field, internal heat generation, and bouncy force for the boundary layer over a vertical plate. The considered fluid is viscous and electrically conducting as well as incompressible on unsteady free convection heat transfer flow. The non-dimensional partial differential equations of continuity, momentum along energy are considered with appropriate transformations. For numerical solution, an explicit finite difference technique is functional to solve a set of nonlinear dimensionless partial differential equations. The non-similar equations are depending on Magnetic parameter, Grashof number, Prandtl number, Eckert number, and internal heat generation. Dimensionless velocity and temperature profile are also explored due to the effects of the inflowing parameters in the concerned problem. The analysis of the attained results is presented graphically and the flow field is significantly prejudiced by incoming parameters. The stability and convergence analysis are also scrutinized.to complete the formulation of the model.