On the transition from conduction to convection regime in a cubical enclosure with a partially heated wall

Abstract Steady-state laminar natural convection in a cubical enclosure with a cold vertical wall and a hot square sector on the opposite wall is numerically studied. The flow pattern consists of a single, symmetric circulation cell. The transition from conduction to convection regime ends at Ra =10 5 , and is characterized by conduction suppression and slow development of convection. In the range of Ra =10 5 –10 7 , lateral velocities become very large, producing a highly mixed, thermally stratified three-dimensional flow, and the circulation cell undergoes cross-sectional changes. In the whole range of Ra , the Nusselt number is reduced compared to the case in which the full side wall is hot (test case).