Prediction of Unsteady Natural Convection within a Square Cavity Containing an Obstacle at High Rayleigh Number Value

Abstract

ABSTRACT:The present work deals with the prediction of a natural convection flow in a square cavity, partially heated by an obstacle placed at the bottom wall. The two transverse walls and the top wall of the cavity are supposed to be cold, the remaining walls are kept insulated. The main parameter of numerical investigations is the Rayleigh number (engine convection) varying from 10 3 to 10 5 . When Ra is fixed at 10 7 , the flow and thermal fields bifurcate and undergoes an unsteady behavior at critical positions. Flow patterns corresponding to the unsteady state are presented and analyzed in the current study. The simulations were conducted using a numerical approach based on the finite volume method and the projection method, which are implemented in a computer code in order to solve the Navier-Stokes equations.

Effect of Various Tilted Positions of a Thin Fin on Natural Convection of Laminar Viscous Flow in a Square Cavity

“…Esfe et al [16] analyzed mixed convection heat transport and fluid flow inside a lid-driven square enclosure consisting of hot rectangular obstacle. Basma Souayeh et al [17] predicted free convection flow inside a square enclosure with partially heated obstacle positioned at the insulated bottom wall, the other walls are maintained at cold temperature. Kolsi et al [18] investigated a free convectional entropy generation of nanofluid filled in an open enclosure consisting of an adiabatic solid block of diamond shaped.…”