微重力下圆台形容器内角处毛细现象

Capillary phenomena in the corner of truncated-cone-shaped containers under microgravity

在微重力环境中,液体通常吸附在夹角或缝隙中.积聚在这些区域的液体难以排出和使用.本文通过理论推导得到了微重力环境下圆台形容器内角处液体的气液界面轮廓.根据液体的润湿性和内角大小,界面轮廓可分为两种情况.一旦知道轮廓某个端点的坐标,就可以根据数学模型使用打靶法获得液面轮廓和体积.此外,如果轮廓端点的横坐标值无法测量得到,在给定液体体积的情况下,也可以使用二分法和打靶法获得液面轮廓.本文提出的方法比之前提出的基于Gibbs自由能的方法更容易.该方法也可用来预测其他结构间的液面轮廓.本文采用有限体积法开展数值模拟,仿真结果与理论值吻合良好.基于该数学模型,可准确预测圆台形容器内角处积聚液体的液面轮廓和体积.

In the microgravity environment,liquid is usually adsorbed in corners or slots.Liquid accumulated in these regions is difficult to be removed and used.A mathematical model describing static profiles of the liquid accumulated in the corner of truncatedcone-shaped containers under microgravity is obtained through theoretical derivation in this paper.The profiles have two cases according to liquid’s wettability and the angle of containers’corners.Once coordinates of an endpoint of the profile are known,the profile and volume of the liquid can be obtained using the Shooting method according to the mathematical model.Besides,if abscissa values of the endpoints are unknown,the profile of the liquid can also be obtained using the dichotomy method and shooting method when liquid volume is given.It is easier to use these methods than others proposed before and they can also be used to predict liquid’s profiles in other conditions.Numerical simulation is performed with the volume of fluid method and the results are in good agreement with theoretical ones.Based on the mathematical model,the profile and volume of the liquid accumulated in the corner can be predicted accurately.