Dissipation effects with natural convection flow over a non-isothemal vertical cone

Abstract

In this study, the effect of dissipation fully developed heat transfer by natural convection flow over a non-isothermal vertical cone is investigated. The governing equation consists of continuity, energy and momentum equations were derived. The purpose of the study is to investigate numerically the mathematical model describing the nature of natural convection flow over a vertical cone. The numerical result is obtained by using the Crank Nicolson method. This method is used due to the scheme is unconditionally stable and more accurate. The discretization equations were computed and numerical results were plotted using MATLAB software. The behaviour of velocity, temperature, skin friction and Nusselt number influenced by Prandtl numbers, viscous dissipation parameter as well as separation times of the flow were analyzed. Results showed that the behaviour of velocity and temperature profiles changed for every distinct values of Prandtl numbers, viscous dissipation parameter as well as separation time.