A square enclosure with localizes enhancement of national convenction heat transfer in heating from below

Abstract

Natural convection in three dimensional square cavity has been considered numerically using a finite difference method. In the present project, the two opposite vertical walls and the top wall were considered very cold and the other vertical walls and the non heated parts of the bottom surface have been considered insulated. The Nervier-Stoke equations and energy equation were solved by the finite difference method. Uniform grids were used in the entire computational domain. The differential equations were discretized using central difference method and forward difference method. The discretized equations with proper boundary conditions of numerical solutions were used. The solutions are presented at the Reynolds number 200 with Prandtl numbers of 0.71.The results are presented in terms of vector plots and contours to show the behavior of the fluid flow and temperature field. The results show that temperature decreases as the fluid moves from the source of heat towards the cold walls.