Thermal radiation effect on the Nano-fluid buoyancy flow and heat transfer over a stretching sheet considering Brownian motion

In this paper, buoyancy flow and heat transfer of MHD nanofluid over a stretching sheet in the presence of thermal radiation and considering Brownian motion is studied. The effective thermal conductivity and viscosity of nanofluid are calculated by KKL (Koo-Kleinstreuer-Li) correlation in which influence of Brownian motion on the effective thermal conductivity is considered. The effects of various parameters such as the buoyancy parameter, the magnetic parameter, the volume fraction of nanofluid and the radiation parameter are investigated on the velocity and temperature. Furthermore, the values of the Nusselt number and the skin friction coefficient are calculated and presented through figures. The results show that the fluid velocity and temperature distribution decreases with the increasing of radiation parameter.