Lie Group Transformation for Double-Diffusive Free Convection Nanofluid Flow Over an Inclined Plane

摘要

abstract_textpThis paper concerns with a steady two-dimensional double-diffusive free convection flow of an incompressible nanofluid past an inclined plate embedded in a porous medium. The model incorporates the effects of cross diffusion and regular diffusion as well as Brownian motion and thermophoresis. A special form of Lie-group transformations, identified as scaling group of transformation is applied to the governing equations of the boundary value problem. The reduced non-linear ordinary differential equations subject to the boundary conditions are tackled numerically using Runge-Kutta Gill and Shooting methods. The impacts of various related parameters on dimensionless temperature, solutal concentration and nanoparticle volume fraction are represented graphically as well as Nusselt number and Sherwood number are elucidated through a table. It is found that, by increasing Brownian motion parameter the thermal boundary layer thickness enhances. It is also noticed that the reduced Sherwood number increases with the increase of Dufour solutal parameter and nanofluid Lewis number./p/abstract_text