HPM-Pade Method on Natural Convection of Darcian Fluid about a Vertical Full Cone Embedded in Porous Media

In this paper, fluid flow and heat transfer of a vertical full cone embedded in porous media have been studied. A similarity solution for a full cone subjected to wall temperature boundary conditions gives us a nonlinear ordinary differential equation (ODE), which has been solved through the homotopy perturbation method (HPM) and the Fade approximation. The obtained analytical solution in comparison with the numerical ones represents remarkable accuracy. The results also indicate that HFM-Fade can provide us with a convenient way to control and adjust the convergence region. Finally, the Nusselt number, which is an important parameter in heat transfer, has been calculated by HFM-Fade.