Instabilities of Natural Convection in a Shallow Fluid Layers

얇은 유체층(流體層)에 있어서 자연대류(自然對流)의 불안정성(不安定性)

The characteristics of thermal instabilities of natural convection in a horizontal fluid layer bounded below by a rigid plate and above by an interface with a passive gas is presented. The critical Grashof number decreases as the surface tension gradient effect (Marangoni effect) at the interface increases and the flow remains unstable for a critical Marangoni number depending on Prandtl numbers. These results are in substantial agreement with those of Smith and Davis.