Visualization of multiple slip effects on the hydromagnetic Casson nanofluid past a nonlinear extended permeable surface: a numerical approach

Abstract

This study intends to explore the interaction effects of the magnetic field and the slip effect of the MHD flow of the Casson nanofluid by a nonlinear stretching surface embedded in a porous medium. The nanofluids’ flow over a stretching surface is critically important due to their application in the broad spectrum of industries and scientific fields. The mathematical formulation for mass conservation, momentum, energy and concentration profiles is expressed in the form of partial differential equations. The dimensionless system of ordinary differential equations has been diminished from modeled equations via a transformation framework. A numerical algorithm bvc4c method is implemented for a local similar solution of highly nonlinear equations. The characteristics of material parameters on the flow field, temperature, concentration, surface drag force and Nusselt number are tackled via plotted graphs. The authentication of the numerical code has been verified with a homotopic solution and an excellent agreement is perceived as a limiting case. Higher values of the Casson parameter , magnetic parameter , porosity parameter and stretching parameter correspond to a reduction in the velocity profile gradually. As noticed from this graph, the deescalating temperature profile is subject to an increment in parameter . From this study, it is observed that the velocity profile increases with the velocity slip number , and the temperature profile decreases with the temperature slip number It is also investigated that the temperature profiles enhance with increasing and decline with . The concentration profiles increase with the increasing values of and .