Slip Effects on Electrical Unsteady MHD Natural Convection Flow of Nanofluid over a Permeable Shrinking Sheet with Thermal Radiation

摘要

The unsteady magnetohydrodynamic (MHD)natural convection flow and heat transfer of an electricalconducting incompressible viscous nanofluid over a linearpermeable shrinking sheet in the presence of electric field,thermal radiation, viscous dissipation, chemical reaction, slipand passively controlled conditions at the wall is studied. Theboundary layer governing equations which are partialdifferential equations are converted into a system of nonlinearordinary differential equations by applying a suitable similaritytransformation. Implicit finite difference scheme is applied toinvestigate the numerical results how the various physicalembedded parameters affect the nanofluid flow and heattransfer with the aid of different graphical presentations andtabular forms. The nanofluid flow is due to a deceleratingshrinking sheet as the electric field reduced the nanofluidvelocity, and the first solution is stable compared to the secondsolution. Thermal radiation and viscous dissipation boost thenanofluid temperature whereas thermal slip reduces. Thermalconvective parameter and mass convective parameterdemonstrated opposite behavior. The magnetic field,unsteadiness parameter, and the suction parameter widen therange for the solution existence. Comparisons with previouslypublished works seen in literature were performed and foundto be in excellent agreement.