2D buoyant convective flow in a square box containing an adiabatic solid block: Effect of aspect ratio of solid block and various thermal boundaries

Abstract

A numerical analysis is performed to study the natural convective flow in a square enclosed space filled with air containing an adiabatic square solid block at the center. The convective flow in a square cavity has examined for three different behaviours of heating. The left wall is heated at 1, y and sin(πy) and the temperature of the right wall is frozen to 0. The adiabatic square block that located in the center of the cavity has various aspect ratios associated to the main cavity. The two-dimensional flow and thermal pattern in the square cavity are investigated for various thermal boundary conditions and aspect ratio of the solid block. The averaged energy transport diminishes on raising the aspect ratio of the solid body for all kind of thermal boundary conditions.