M Eftekhari Yazdi - Mechanical Engineering Department, Islamic Azad University, Central Tehran Branch, Tehran, Iran
M. Aghamajidi - Mechanical Engineering Department, Islamic Azad University, Central Tehran Branch, Tehran, Iran
S Dinarvand - Mechanical Engineering Department, Islamic Azad University, Central Tehran Branch, Tehran, Iran

In this article, Tiwari-Das nanofluid scheme has been used to investigate the laminar free-convective flow and heat transfer of an electrically conducting nanofluid in the presence of a transverse magnetic field over a rotating down-pointing vertical cone. Using appropriate transformations, the system of partial differential equations is transformed into an ordinary differential system of three equations, which is solved numerically using the fourth-order Runge–Kutta method with shooting technique. The current solution demonstrates very good agreement with those of the previously published studies in the especial cases. The velocity profile, temperature distribution, skin friction coefficient and local Nusselt number are determined for various values of the physical parameters. Here, copper, aluminum oxide (alumina) and titanium dioxide (titania) have been considered as nanoparticles, where the focus is on aluminum oxide in this study. The computations illustrate that selecting alumina and copper as the nanoparticle leads to the minimum and maximum amounts of skin friction coefficient value, and also copper and titania nanoparticles have the largest and lowest local Nusselt number. Moreover, it can be observed that the spin of the body augments he velocity profiles and compresses the temperature profiles toward the surface where as cause an increasing effect on both the skin friction coefficient and local Nusselt number.

Boundary layer; Nanofluids; Free-convective flow; Rotating vertical cone; Tiwari-Das nanofluid model