Conjugate Heat Transfer in Rayleigh-Bénard Convection in a Square Enclosure

Abstract

Conjugate natural convection-conduction heat transfer in a square enclosure with a finite wall thickness is studied numerically in the present paper. The governing parameters considered are the Rayleigh number5×103≤Ra≤106, the wall-to-fluid thermal conductivity ratio0.5≤Kr≤10, and the ratio of wall thickness to its height0.2≤D≤0.4. The staggered grid arrangement together with MAC method was employed to solve the governing equations. It is found that the fluid flow and the heat transfer can be controlled by the thickness of the bottom wall, the thermal conductivity ratio, and the Rayleigh number.