Convective flow of Carreau fluid over a curved surface in presence of thermophoresis and Brownian motion

Abstract

The aim of this article is to develop the numerical study of the convective flow of a Carreau fluid due to curved stretchable surface in the presence of viscous dissipation effect. onvective condition is considered at the boundary. The effects of thermophoresis and Brownian motion are also taken into consideration. The modeled equations of the problem are converted from nonlinear partial differential equations (PDEs) to nonlinear ordinary differential equations (ODEs) by using similarity variables. The resulting non linear ordinary differential equations are solved numerically by using the shooting technique. It is observed that the temperature of the fluid decreases with growing values of thermophoresis and brownian parameters. Brownian parameter declines the concentration of fluid while thermophoresis parameter enhances the concentration of fluid. Thermophoresis and Brownian parameter reduces the local Nusselt number but reverse behavior is noted in the case of the Sherwood number. The impactsof various flow parameters on velocity, temperature, and concentration distributions are explored graphically and deliberated in detail. The results of skin friction, Nusselt number, and Sherwood number are discussed in tabular form for various parameters.