Slip effects on electrical unsteady mhd natural convection flow of nanofluid over a permeable shrinking sheet with thermal radiation

Abstract

The unsteady magnetohydrodynamic (MHD) natural convection flow and heat transfer of an electrical conducting incompressible viscous nanofluid over a linear permeable shrinking sheet in the presence of electric field, thermal radiation, viscous dissipation, chemical reaction, slip and passively controlled conditions at the wall is studied. The boundary layer governing equations which are partial differential equations are converted into a system of nonlinear ordinary differential equations by applying a suitable similarity transformation. Implicit finite difference scheme is applied to investigate the numerical results how the various physical embedded parameters affect the nanofluid flow and heat transfer with the aid of different graphical presentations and tabular forms. The nanofluid flow is due to a decelerating shrinking sheet as the electric field reduced the nanofluid velocity, and the first solution is stable compared to the second solution. Thermal radiation and viscous dissipation boost the nanofluid temperature whereas thermal slip reduces. Thermal convective parameter and mass convective parameter demonstrated opposite behavior. The magnetic field, unsteadiness parameter, and the suction parameter widen the range for the solution existence. Comparisons with previously published works seen in literature were performed and found to be in excellent agreement.