Thermally Radiant Williamson Nanofluid Flow Over a Permeable Stretching Sheet with Viscous Dissipation and Joule Heating Effects

Abstract

The present paper focuses on the study of an incompressible flow of a steady two-dimensional electrically conducting thermally radiant Williamson nanofluid over a permeable stretching sheet with viscous dissipation and joule heating effects. The governing partial differential equations are reduced to a couple of nonlinear ordinary differential equations by using suitable transformation equations; these equations are then solved numerically with the use of the conventional fourth-order Runge Kutta method accompanied by the shooting technique. Graphical results of the flow, temperature, and nanoparticles volume fraction profiles are displayed. Effects of the physical parameters on velocity, temperature, nanoparticles volume fraction, skin friction coefficient, and the rates of heat and mass transfer are investigated. The results indicate that the velocity ratio parameter enhances the skin friction coefficient, the velocity profile, and the rate of heat transfer whereas it minimizes the rate of mass transfer. On the other hand, increasing the values of the mass suction parameter results in both the velocity and the temperature boundary layer thickness decrease whereas increasing the mass injection enhances both the velocity and the temperature profiles; but it vigorously enhances the rate of heat transfer. The non-Newtonian parameter fosters the rate of heat transfer whereas it lessens both the velocity and rate of mass transfer of the nanofluid.