Numerical Investigation on the Effect of Inclination Angle on Natural Convection Heat Transfer in a Rectangular

Abstract

The effect of inclination angle on convection heat transfer in a 2-D inclined rectangular enclosure is numerically investigation. Inclination angle varies from 30 to 60. Governing equation were solved for Ra (103-104). The enclosure object with heated left side wall, while the right side was cold, the top and bottom walls were adiabatic. The theoretical study involved the numerical solution of the Navier-Stokes and energy equations by explicit method using finite difference . The stream function – formulation was used in the mathematical model. The numerical results showed that the main process of heat transfer is conduction for Rayleigh number less than Ra≤103, and convection for Rayleigh number greater than Ra>103. For Ra=105 and AR=3, show a bicellular flow in stream lines contour because the velocity nearby cold wall is larger than those which are far away from cold wall. In isotherm lines contour a plume region will be clearer. Average Nusselt number is increased with aspect ratio increasing for Ra ranging with (103-105) because of increasing of heat transfer area. For a square enclosure filled with air (Pr=0.72)). There is an excellent agreement which validate the present computational model.