Analysis of buoyancy features on magneto hydrodynamic stagnation point flow of nanofluid using homotopy analysis method

Abstract

This study aims to examine the buoyancy features of the magnetohydrodynamic (MHD) stagnation point flow and temperature transfer in a nanofluid flow through a convectively heated stretching sheet. The dimensionless form of the governing model is highly nonlinear ordinary differential equations (ODEs) and solved using the Homotopy Analysis Method (HAM). To obtain series solutions the computational program MATHEMATICA is used. It is found that the fluid velocity and boundary layer thickness decrease when the velocity of the stretching sheet is less than the free fluid velocity. The stretching parameter λ and the buoyancy ratio Nr reflect an increase in the velocity profile f′(η) and a decline in the temperature θ(η) and the concentration profile ϕ(η). The skin friction Cf increases because of the motion of nanoparticles and the Nusselt numbers Nux, reduce with the magnetic parameters and increase with the convective parameters. Increased in the Prandtl, Pr, and Lewis numbers, Le values indicated a faster heat transfer to mass transfer. Additionally, results show that the magnetic field accelerates the mass transfer and enhances fluid flow, leading to a higher Sherwood number (Shx).