Verification - Air Convection in a Cube


Introduction

Convection is omnipresent in nature and plays an important role in numerous engineering and earth science problems. It occurs as pore fluid moves within the soil due to external forces (such as pressure) or internal forces (such as gravity). These latter forces act upon fluid density variations brought on by non-uniform temperature fields and/or non-uniform concentration of fluid components. In the case of a non-uniform temperature field, the fluid closest to the heat source becomes less dense and rises due to an increase in kinetic energy. This movement alters the thermal regime, which affects the fluid density, and thereby creates a coupled system. The manner in which this buoyancy-driven flow occurs depends on the boundary conditions and the geometry (or shape) of the domain. The objective of this example is to verify the airflow formulation against a widely used benchmark for natural convection in a fluid-saturated porous cube. In this problem, the cubic enclosure is heated from below, cooled from the top, and does not allow heat transfer through its vertical walls. This exercise lends credibility to the use of the software in multi-dimensional problems involving natural convection.

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See also