Dynamic Behavior in a Storage Tank in Reduced Gravity Using Dynamic Contact Angle Method
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ORIGINAL ARTICLE
Dynamic Behavior in a Storage Tank in Reduced Gravity Using Dynamic Contact Angle Method Ji-Cheng Li 1,2 & Hai Lin 1 & Kai Li 1,2 & Jian-Fu Zhao 1,2 & Wen-Rui Hu 1 Received: 30 March 2020 / Accepted: 9 September 2020 # Springer Nature B.V. 2020
Abstract The oscillation of liquid/gas free surface in a partially filled storage tank caused by an abrupt drop of gravity level is of critical importance for the fluid management in space. In the present study, the dynamic behavior of free surfaces in a model tank (tube) is numerically investigated using volume of fluid (VOF) method in the context of dynamic contact angle (DCA) model. It is concluded that the dynamic behavior of free surface could be captured pretty well using the selected DCA model, as shown by comparison with the results of Drop Tower Beijing experiment. The temporal evolution of free surface reproduces exactly the characteristics of damping oscillations. The detailed dynamic deflections of meniscus reveal crucial dependency between the oscillation frequency of free surface and the boundary condition in the contact line. The oscillation frequency increases when the range of the moving contact line transfers from the spherical-shaped part to the cylindrical part of the tank and maintains constant when the moving contact line remains always at the cylindrical part of the tank. Meanwhile, the oscillation amplitude decreases in line with the increase of oscillation frequency. Keywords Storage tank . Dynamic behavior . Oscillation frequency . Microgravity . Dynamic contact angle . Liquid sloshing
Introduction Storage tank is one of the basic components for spacecrafts, in which the behavior of liquid is mostly responsible for the safety, stability, fuel supply and so on. Correspondingly, researchers pay close attentions to the shape of free surface (Kulev and Dreyer 2010; Park et al. 2015; Zhou et al. 2016; Zwicke et al. 2017), the pressure control inside a tank (Lopez et al. 2008; Barsi and Kassemi 2013; Chen and Liang 2013;
This article belongs to the Topical Collection: The Effect of Gravity on Physical and Biological Phenomena Guest Editor: Valentina Shevtsova * Kai Li [email protected] * Jian-Fu Zhao [email protected] 1
Key Laboratory of Microgravity (National Microgravity Laboratory), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
2
School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China
Kassemi and Kartuzova 2016), the liquid sloshing (Zhou and Huang 2015; Deng and Yue 2017), and the measurement of the residual liquid. The hotspot of researchers has been transferred from the properties of fluids, such as SF 0.65, SF 1.00, FC-77 (Stange et al. 2003), LH2 (Kumar et al. 2007), to the outer geometry structure (with empty internal structure) of the tank (Lopez et al. 2007) with emphasis laid on capillary flows, especially when a partially filled capsule tank was involved (Kassemi and Kartuzova 2016). Among these studies, the dynamic evolution of the free surface of
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