Slip ow of nanouid over a stretching vertical cylinder in the presence of non-linear thermal radiation and non-uniform heat source/sink

Abstract

An analysis is performed to study axisymmetric mixed convective boundary layer ow of a nanouid over a vertical stretching circular cylinder in the presence of nonlinear radiative heat ux. The effects of non-uniform heat source/sink and slip ow are also taken into consideration. Water as conventional base uid containing nanoparticles of Copper (Cu) is used. By means of similarity transformations, the governing partial differential equations are reduced to highly non-linear ordinary differential equations and then solved analytically using Homotopy Analysis Method (HAM). A comparison is made with the available results in the literature, which shows that our results are in very good agreement with the known results. A parametric study of the physical parameters is made and results are presented through graphs and tables. The results indicate that the thermal boundary layer is thicker for non-linear thermal radiation problem than for linear thermal radiation. It is also found out that heat transfer rate at the surface decreases with increase in both space-and time-dependent heat source/sink parameters.