本文研究了在满足Concus-Finn条件时，微重力环境下内角沿容器轴线变化时的毛细驱动流问题，建立了变内角的毛细流动控制方程，获得了变内角流动的近似解析解，并与FLOW-3D软件的数值模拟结果进行了对比验证。计算结果表明，随着时间的增大，近似解析解与数值解的相对误差越来越小，在6s以后，相对误差不超过5%。论文研究了不同结构参数对内角毛细流动的影响规律，得出液体前缘位置和液面高度均随内角、接触角、内角斜率和内角幂指数的增大而减小的结论。在不同时刻，液体的液面高度随着时间的增大而增大，但在初始时刻存在一个常高度，该高度不随时间的变化而变化。在空间流体管理时，可以根据本文的工作进行容器设计和选择适合的溶液。%This paper investigates the capillary flows in variable interior corners along the axis when a microgravity environment and the Concus-Finn condition are satisfied. The governing equation for capillary-driven flows in variable interior corners is established, and an approximately analytic solution is obtained. Then we compare the approximately analytic solution with the numerical simulation results obtained using the software FLOW-3D. Results show that the relative error between the approximately analytical and numerical solutions is getting smaller and smaller with increasing time, and it will be less than 5% after 6 s. The influence of different parameters on the interior corner flow is studied using a set of typical parameters. Numerical results show that the liquid-front position and meniscus height decrease with increasing interior angles, contact angle, slope, and power exponent. The liquid meniscus height increases with the duration at different times. But it remains constant at the initial time. The conclusion of this paper can be applied when designing containers and choosing the suitable solution in the space fluid management.
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