A Study of Enhancement of Natural Convection Heat Transfer in a Square Enclosure with Localized Heating from Above

A numerical study of natural convection of heat transfer in a three dimensional square cavity is considered. The two opposite vertical walls and the bottom wall have been considered cold constant temperature with a source of heat fixed at the corner top surface and the non heated part of the top surface considered insulated. The study is aimed at examining the velocity flow and temperature distribution. The central finite difference method is used in solving the energy and momentum equations. The differential equations are solved by the central difference method and the forward difference method. The solutions are presented at various Reynolds number, Froude number, Eckert number with constant Prandtl number 0.71. When varying Re number, the velocity is seen to decrease, while when the Fr number is varied, the velocity decreases with increase in room depth. The behavior of the flow fields are analyzed by 2D graphs. When the Fr number is varied, the velocity decreases with increase in room depth. When the Re number is varied for both horizontal and vertical velocity, the velocity increases with increase in room depth. It also seen that an increase in Eckert number results into an increase in temperature distribution