Strong coupling between height of gaps and thickness of thermal boundary layer in partitioned convection system**Project supported by the National Natural Science Foundation of China (Grant Nos. 11772362 and 11452002) and the Special Scientific Research Fund for Super Computing in the Joint Fund of the National Natural Science Foundation of China and the People’s Government of Guangdong Province, China (Phase

Abstract

A direct numerical simulation (DNS) method is used to calculate the partitioned convection system with Ra number ranging from 107 to 2 ×109. Using the boundary layer thickness to normalize the height of gaps d, we find a strong consistency between the variation of the TD number (the average value of the temperature in each heat transfer channel is averaged after taking the absolute values) with the change of the height of gaps and the variation of the TD number with the change of Ra number in partitioned convection. For a given thickness of partition, heights of gaps are approximately equal to 0.5 or 1 time of the thermal boundary layer thickness at different Ra numbers. TD number representing temperature characteristics is almost the constant value, which means that TD number is a function of only. Analysis of local temperature field of area in gaps shows that the temperature distribution in the gaps are basically the same when is certain. The heat transfer Nu number of the system at is larger than that of , both of them have the same scaling law with Ra number and .