Analytically investigating of heat transfer parameters with presence of graphene oxide nanoparticles in Williamson-magnetic fluid by AGM and HPM methods

Increasing heat transfer in the field of thermal management is one of the important features of engineering studies. In many cases, the use of nanoparticles leads to increased heat transfer. Hence in this analysis, Graphene Oxide nanoparticles has been used in the field of Magneto hydro Dynamics as a factor to increase heat transfer. The main objectives of this analytical work is to increase the heat transfer of convective currents on a Williamson non-Newtonian rotating cone with graphene oxide nanoparticles. In this paper, we have converted the governing equations in the PDE form have been converted to the ideal ODE form. From the obtained results, it can be seen that increasing the volume fraction of graphene oxide nanoparticles from 0.01 to 0.04 shows favorable thermal effects. An increase in the Eckert dimensionless number and a decrease in Prandtl lead to an increase in temperature profile. Also, its noted that the concentration decreases with increasing Lewis number parameters and Brownian motion. It was found that with increasing magnetic effects, the rate of velocity profile also increases. This means that the magnetic effects overcome the viscous effects of Williamson fluid and increase the velocity.