Induced Nonlinear Stretching Sheet Near a Stagnation Point for Nonlinear Mixed Convection in Williamson Nanofluid Flow

Abstract

The analysis of non-Newtonian nanofluid flows near stagnation points has become increasingly important due to its broad engineering and industrial applications, including polymer extrusion, biomedical engineering, and cooling of electronic devices. The Williamson fluid model, as a subclass of non-Newtonian fluids, captures shear-thinning behavior and provides a more accurate representation of complex fluids. This paper presents an investigation into the flow of a magnetized non-Newtonian Williamson fluid by nonlinear mixed convection. A stagnation point regulates the motion of the fluid. The Mathematical model underlying the problem is transmuted via similarity transformations to exhibit ordinary differential equations of order three. A numerical solution is obtained through the Runge-Kutta-Fehlberg approach in conjunction with the shooting technique. The influence of some dimensionless physical parameters which includes magnetic field, Eckert, Schmidt and Prandtl numbers coupled with activation energy were discussed through plots. The numerical results demonstrate a good agreement when compared with existing results. The analysis reveals a decrease in velocity profile and a rise in fluid temperature. This is observed when the magnitude of the viscosity and magnetic field parameters increases. An increase in radiation and heat source parameters leads to an increase in the heat transfer rate. Whereas those factors involving viscosity and magnetic field slow down the fluids and drive a rise in the temperature distribution. The solutal boundary structure is enhanced due to the escalating nature of activation energy. A diminished trend observed to occur with the chemical reaction and Schmidt number.