LAUSR

This paper aims to analyze the features of MHD Darcy-Forchheimer nanofluid flow over a nonlinear stretching sheet. A viscous incompressible nanofluid saturates the porous medium via Darcy-Forchheimer relation. Heat and mass transfer is analyzed through Brownian motion factor and Thermophoresis. A non-uniform magnetic field is induced to enhance the electric conductivity of the nanofluid. The model emphasis on small magnetic Reynolds number and boundary layers formulation. The governing Partial differential Equations are converted into nonlinear Ordinary differential equations using similarity transformations and thereafter solved utilizing homotopy analysis method. Graphs are sketched for different values of various fluid parameters. Drag force, heat flux and mass flux are interpreted numerically. The porosity factor results in rising the skin friction due to high resistance offered by porous medium. The heat and mass flux are reduced for a stronger porosity factor, which is an important finding for industrial applications of nanofluids. The temperature profile shows augments for increasing values of both the Brownian diffusion and Thermophoresis.