Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Convection in a lid-driven cavity subject to a gravitational stable condition: effects of aspect ratio
Submission Author:
Igor Minami Suyama , PR
Co-Authors:
Igor Minami Suyama, Vinicius Gustavo Poletto , Fernando Cesar De Lai, Silvio L. M. Junqueira
Presenter: Igor Minami Suyama
doi://10.26678/ABCM.COBEM2017.COB17-1235
Abstract
The lid-driven cavity subjected to a gravitational stable condition is used to model transport phenomena in various complex engineering systems. In this work, the cavity verticals walls are adiabatic while the base is kept at a temperature lower than the top sliding-lid, which moves with constant velocity. The action of gravity gives rise to a condition where buoyancy acts tending to cease the flow and stagnate the fluid. Since the problem is well known for square cavities in terms of the influence of Reynolds (Re) and Grashof (Gr) numbers, a more detailed numerical study regarding the aspect ratio (A=H/L) variation is conduced. By using the finite volume method with the SIMPLE and the QUICK schemes and having an unitary Prandtl number (Pr), simulations are performed in the range from a shallow to a tall enclosure, 0.5≤A≤2, as well as the values for Re and Gr that characterize laminar flow, 100≤Re≤2500 and 1000≤Gr≤105. As expected, the aspect ratio variation affects the flow as if the the tall cavity (A>1) favors the occurrence of quiescent fluid resulting in a conductive regime. Alternatively, the shallow enclosure (A<1) benefits the establishment of a convective-dominant configuration because it is easier to the flow to penetrate until the enclosure base. Keywords: convection, lid-driven cavity, aspect ratio, gravitational stable condition, numerical simulation
Keywords
Convection, Lid-driven cavity, aspect ratio, gravitational stable condition, Numerical simulation

