Liquid Sloshing in Partially Filled Capsule Storage Tank Undergoing Gravity Reduction to Low/Micro-Gravity Condition
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ORIGINAL ARTICLE
Liquid Sloshing in Partially Filled Capsule Storage Tank Undergoing Gravity Reduction to Low/Micro-Gravity Condition Ji-Cheng LI 1,2 & Hai LIN 1 & Kai LI 1,2 & Jian-Fu ZHAO 1,2 & Wen-Rui HU 1 Received: 24 October 2019 / Accepted: 3 May 2020 # Springer Nature B.V. 2020
Abstract Liquid sloshing in storage tanks is of critical concern for the fluid management in space. In the present study, oscillation of liquid in a partially filled capsule storage tank was numerically studied using the volume of fluid method and taking into account the dynamic contact angle. The filling ratios of tank ranging from 10% to 90% and the gravity levels of 10−3 g0 and 0 g0 were considered as the controlling variables. The temporal evolution of characteristic points of free surface and the law of oscillation frequencies were analyzed. The results show that for different filling ratios, the oscillations of free surfaces present different damping types, in which the small and large filling ratios correspond to the underdamping and the intermediate filling ratios to the critical damping. The present study provides fundamental insights into the free surface oscillations depending on the filling ratios and residual gravity level, which is useful for the corresponding utilization in space. Keywords Liquid sloshing . Tank . Low/micro gravity . VOF method . Contact angle
Introduction Propellant storage tank is one of the key components in a spacecraft system. Liquid sloshing in the tanks significantly affects the ability of propellant support, stability and safety of system (Dalmon et al. 2018). Most studies on the subject concentrated on the pitching or stimulating effects in terrestrial condition, e.g. Zhao et al. 2018, Sanapala et al. 2018, Frosina et al. 2018. What researchers concerned is fuels, chemical fluids and so on, which is easy to be disturbed (Wang et al. 2017) and to interact with the structures.
This article belongs to the Topical Collection: Multiphase Fluid Dynamics in Microgravity Guest Editors: Tatyana P. Lyubimova, Jian-Fu Zhao * 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
However, the liquid sloshing in storage tanks in space exhibits more complexity comparing with the terrestrial condition. In 1999, the Sloshsat FLEVO project was conducted to investigate the liquid behavior in spacecraft (Vreeburg 1999). The tank in the experiment is a cylinder configuration with hemispherical ends, which is mostly used in today’s spacecraft. Later, numerical simulation was carried out on the coupling solid-liquid dynamics (Luppes et al. 2009), where the volume of fluid (VOF) method (Gueyffier 1999; Hirt 1981) was adopted to capture the free surface evolution. The Parabolic Flight was used by Fernandez et al. (2017).to investigate the potentially complex behaviour
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