液滴在圆内角处的毛细界面行为

容器内角广泛应用于空间流体管理，研究微重力环境下容器内角处液体界面行为对空间流体管理具有重要意义.由于设计和制造等原因，理想的尖内角结构无法实现，而是带有一定圆角过渡的内角.本文对液滴在圆角过渡内角处的毛细界面行为进行了理论分析和数值模拟，并与理想尖内角处的液滴毛细界面行为进行对比，得到定性和定量的新规律.与理想尖内角不同的是，液滴的毛细界面行为不仅与接触角和内角的角度有关，还与圆内角的圆角半径和液滴体积有关. 

Behaviors of Capillary Surfaces of Liquid Drops in Rounded Corners

Containers with interior corners are applied in space fluid management extensively. It has lots of profound guiding significance for Space Fluid Management to research the interfacial behaviors of liquids in corners of containers in microgravity. Due to either design or fabrication problem, ideally sharp corner may not be achieved, but rather a somewhat rounded one. In this paper, theoretical analysis and numerical simulation are performed to research the behavior of liquid drops in rounded corners, including the case in which the contact angles on the two sides of the corner may be different, leading to a generalization of the Concus-Finn conjecture. Comparing with Concus-Finn conjecture which is a useful criterion to determine the behavior of liquid drops in sharp corners, there are some different characteristics of capillary surfaces behaviors in rounded corners. The generalized conjecture shows that the behaviors of capillary surfaces in rounded corners depend on not only the contact angle and the degree of interior corners, but also the radius of the rounded corners and the volume of liquid drops, which are dramatically different in sharp corners.