A finite difference approach for analysis of entropy generation and stream surface on nonlinear convective magnetohydrodynamic flow over an oscillating surface

Magnetohydrodynamic (MHD) flow for nonlinear convective fluids with heat source, viscous dissipation, and heat radiation play such vital role in various engineering and applied problems. The present study concerned about entropy generation and stream surface on MHD nonlinear convective flow over an oscillating surface. Both heat source and nonlinear form of heat radiation are taken into account for their respective effects. Moreover, this study assumes a uniformly sized magnetic field that acts normal to the fluid flow. Through proper similarity transformations, leading nonlinear partial differential equations (PDEs) can be reduced to non-dimensional form. To solve these nonlinear PDEs numerically, finite difference method was employed. This study aims to find out the behavior of stream surface, entropy generation, Bejan number, temperature, and velocity for numerous physical factors as well. Observation highlights that the magnetic parameter reduces fluid velocity, and rate of heat transfer, though enhances entropy generation and shear stress. Grashof number lowers heat transport rate and share stress despite improving fluid velocity and stream surface. The application of electromagnetic field reflects stream surface to be decreased. The fluid temperature rises in response to Eckert number and heat source. Brinkman number amplifies both Bejan number and entropy generation.