Existence of dual solutions for wedge flow of magneto-Williamson nanofluid: A revised model

Abstract

This communication intends to elaborate the mechanism of heat and mass transport of an unsteady stagnation point flow of Williamson nanofluid past a wedge subject to magnetohydrodynamics (MHD), thermophoresis and Brownian motion effects. In this study, the flow equations with magnetic parameter is incorporated especially in the Williamson fluid flow case. The appropriate transformations are used to convert the governing partial differential equations into ordinary differential equation and then solved numerically by using shooting scheme with fourth order Runge-Kutta-Fehlberg method in MATLAB software. The influence of wedge angle parameter, the local Weissenberg number, unsteadiness parameter, magnetic parameter, suction parameter, the Biot number, thermophoresis and Brownian motion parameter on dimensionless velocity, temperature and nanoparticle concentration fields as well as skin friction coefficient and local Nusselt number are rigorously demonstrated and discussed. This study also elaborates the critical range of velocity ratio parameter and suction parameter, for the existence of dual branch of solutions. The obtained results show that Biot number enhances the fluid temperature and concentration. Further, the suction parameter is an increasing function of rate of heat transfer. Furthermore, the analysis suggests that the upper branch solution is stable and physically possible.

Keywords

• MHD
• Stagnation-point flow
• Williamson nanofluid
• Multiple solutions
• Wedge geometry