Equivalent mechanical model for liquid sloshing during draining |
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| Authors: | Qing Li Xingrui Ma Tianshu Wang |
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| Institution: | 1. School of Aerospace, Tsinghua University, Beijing 100084, PR China;2. China Aerospace Science and Technology Corporation, Beijing 100037, PR China;1. Key Laboratory of Coastal Disaster and Defence of Ministry of Education, Hohai University, Nanjing 210098, China;2. College of Harbour Coastal and Offshore Engineering, Hohai University, Nanjing 210098, China;3. Key Laboratory of Water & Sediment Science and Water Hazard Prevention, Changsha University of Science & Technology, Changsha 410114, China;4. State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu, Sichuan 610065, China;5. College of Science, Hohai University, 1 Xikang Road, Nanjing 210098, China;1. Indira Gandhi Centre for Atomic Research, Department of Atomic Energy, Kalpakkam, 603 102, India;2. Department of Applied Mechanics, Indian Institute of Technology Madras, Chennai, 600 036, India |
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| Abstract: | For a spacecraft draining liquid fuel during a continuous thruster maneuver, a brief equivalent method is proposed to model the time-varying properties of liquid sloshing for dynamics and control design. The sloshing liquid during draining is equivalent to a set of mechanical model with variable parameters. The model parameters for sample filling ratios are determined by an efficient finite element method according to equivalent principles, while the parameters for other filling ratios are obtained by piecewise linear interpolation. Using the proposed model, forces and torques acted on a Cassini shaped tank by the inside liquid during draining are investigated undergoing several typical motions. Verifications and comparative studies are done with Computational Fluid Dynamics simulations, which confirm the accuracy of the brief model while the sloshing amplitude is small and the flow rate is low. |
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