INVESTIGATION OF LAMINAR NATURAL CONVECTION HEAT TRANSFER INSIDE U-SHAPED ENCLOSURE

Abstract

In this study, the problem of steady laminar natural convection heat transfer and fluid flow inside U-shaped enclosure has been analyzed numerically. The U-shaped enclosure was differentially heated. The problem was investigated for multiple Rayleigh numbers ( ) and aspect ratios ( ). The mathematical model of the considered problem is formulated in terms of fully elliptic Navier-Stockes and energy equations. A numerical solution based finite volume approach is obtained. A documented results are introduced in terms of contours maps of streamlines and temperatures. Also the results are presented in terms of local and average Nusselt numbers. The results show that the aspect ratio has a significant effect on the induced multi cellular flow for high Rayleigh numbers. Also the results show that the rate of heat transfer is increased with the increase of Rayleigh number and decrease with increasing of the aspect ratio(A