A numerical simulation of electrically conducting Sisko fluid flow with melting heat transfer, nonlinear convection and variable thermal conductivity constraints over an inclined electromagnetic sheet

Abstract The effects of suction, melting heat transfer, variable thermal conductivity, and viscous dissipation upon the convective flow of Sisko fluid over an electromagnetic inclined sheet are reported in the present study. The mechanisms of thermophoresis and Brownian motion are also taken into consideration. The 4th‐order R‐K method has been used to tackle reduced leading equations dedicated to the problem's relevant geometry. The key finding of the current investigation is that increased electromagnetic field strength, thermal and solutal mixed convection parameters, and Sisko fluid parameters are credited for enhanced fluid motion, whereas the increased melting parameter results in increased heat transmission rate from the electromagnetic sheet. The fluid suction, on the other hand, decreases the flow velocity and associated thickness of the momentum boundary layer.