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Empirical model of the wake-induced lift force on a cylinder with low mass ratio
Institution:1. College of Engineering, Ocean University of China, Qingdao, 266100, PR China;2. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, 200240, PR China;3. Liaoning Engineering Laboratory for Deep-Sea Floating Structure, School of Naval Architecture, Dalian University of Technology, Dalian, 116024, PR China;1. School of Naval Architecture and Ocean Engineering, Dalian University of Technology (DUT), NO-116024, Dalian, China;2. Department of Marine Technology and Centre for Autonomous Marine Operations and Systems (AMOS), Norwegian University of Science and Technology (NTNU), Trondheim, 7491, Norway;1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin, 300072, China;2. Department of Civil, Environmental and Geomatic Engineering, University College London, London WC1E 6BT, UK;1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin, 300072, China;2. School of Civil Engineering, Tianjin University, Tianjin, 300072, China;3. Yellow River Institute of Hydraulic Research, YRCC, Zhengzhou, 450003, China;4. Institute of Geographic Sciences and Natural Resources Research, CAS, Beijing, 100101, China;1. School of Mechanical and Manufacturing Engineering, University of New South Wales, Sydney, NSW, 2052, Australia;2. Maritime Division, Defence Science and Technology Group (DST), 506 Lorimer Street, Fishermans Bend VIC, 3207, Australia;3. Australian Maritime College, University of Tasmania, Newnham, TAS, 7248, Australia;1. Graduate School of Engineering Science, Yokohama National University, 240-8501, Kanagawa, Japan;2. Design Department, Onomichi Dockyard Co., Ltd., Hiroshima, Japan;3. Faculty of Engineering, Yokohama National University, 240-8501, Kanagawa, Japan;4. Hull Rules Development Dept., ClassNK, Tokyo, Japan;1. Institute for Ocean Engineering, Tsinghua Shenzhen International Graduate School, Shenzhen, 518055, China;2. Department of Civil Engineering, Tsinghua University, Beijing, 100084, China;3. Key Laboratory of Far-shore Wind Power Technology of Zhejiang Province, Hangzhou, 310014, China;4. POWERCHINA Huadong Engineering Corporation Limited, Hangzhou, 310014, China
Abstract:The vortex-induced vibrations (VIV) of two flexible circular cylinders in a tandem configuration were studied numerically for spacing ratios ranging from 6 to 18 and the reduced velocities ranging from 2.35 to 12.59. The VIV response amplitude, response frequency, fluid force, pressure distribution and vortex structure of the tandem cylinders with different spacing ratios under different reduced velocities were compared. The results indicate that there is a great difference between the lift forces on the downstream and upstream cylinders. The lift coefficient of the downstream cylinder undergoing the wake-induced vibrations (WIV) is larger than that of the upstream cylinder, and the dominant frequency curves of the lift coefficients of the upstream and downstream cylinders separate. It can be found that the length and intensity of the wake are quite different under different reduced velocities and spacing ratios, and the reattachment positions between the wake and the downstream cylinder are different, which leads to a great change in the flow around the downstream cylinder and have a great effect on the wake-induced lift force on the downstream cylinder. Considering these factors, an empirical model for the wake-induced lift force on a cylinder with low mass ratio was proposed and verified.
Keywords:Tandem cylinders  Vortex-induced vibration  Wake-induced vibration  Empirical model  Lift force
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