Influence of applied magnetic field on mixed convective nanofluid flow past an exponentially stretching surface with roughness

In this analysis, the impact of the applied magnetic field and surface roughness on combined convection nanofluid flow past a stretching surface with roughness is investigated. The partial differential equations governing the flow fields are subjected to non-similar transformations. The transformed equations are quasi-linearised and then solved numerically using an implicit finite difference method. The non-similar profiles of flow velocity and diffusive components and also their gradients at the surface are computed and presented graphically. The results reveal that the velocity profile diminishes in the presence of magnetic field parameter, non-similarity variable and Eckert number. The temperature profile is enhanced in the presence of thermophoresis and magnetic parameters. The influence of a rough surface on profile gradients at the surface is analysed, and the impact of these is found to be prominent in case of the skin-friction coefficient. For a nanofluid, the Nusselt number is found to be reduced. Moreover, for liquid hydrogen, the Sherwood number is smaller as compared to that for liquid nitrogen.