Response and wake patterns of two side-by-side elastically supported circular cylinders in uniform laminar cross-flow |
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| Institution: | 1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China;2. School of Civil Engineering, University of Queensland, Brisbane, QLD 4072, Australia;1. Key Lab of Structures Dynamic Behavior and Control (Harbin Institute of Technology), Ministry of Education, Harbin, Heilongjiang 150090, China;2. School of Civil Engineering, Harbin Institute of Technology, Harbin, Heilongjiang 150090, China;3. Department of Aerospace Engineering, Iowa State University, Ames, IA 50011, USA;1. Key Laboratory of Low-grade Energy Utilization Technologies and Systems of Ministry of Education of China, College of Power Engineering, Chongqing University, Chongqing, China;2. Marine Renewable Energy Laboratory, Dept. of Naval Architecture & Marine Engineering, University of Michigan, Ann Arbor, MI, USA;3. Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA;4. Vortex Hydro Energy, Ann Arbor, MI, USA;5. College of Resources and Environmental Science, Chongqing University, Chongqing, China;1. Department of Civil Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, No. 800, Dongchuan Road, Shanghai 200240, China;2. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, No. 800, Dongchuan Road, Shanghai 200240, China;3. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, No. 800, Dongchuan Road, Shanghai 200240, China;4. College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, China;5. Department of Aeronautics, Imperial College London, London SW7 2AZ, UK;6. Cullen College of Engineering, University of Houston, Houston, TX 77204, USA;1. School of Civil and Environmental Engineering, Nanyang Technological University, Singapore;2. Centre for Offshore Research and Engineering, Department of Civil and Environmental Engineering, National University of Singapore, 1 Engineering Drive 2, Singapore 117576, Singapore;1. School of Computing, Engineering and Mathematics, University of Western Sydney, Locked Bag 1797, Penrith, NSW 2751, Australia;2. School of Civil, Environmental and Mining Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia;3. Stake Key Laboratory of Costal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | Vortex-induced vibrations (VIV) of two side-by-side elastically supported circular cylinders in a uniform flow with the Reynolds number of 100 are numerically investigated by using the immersed boundary method. The cylinders are constrained to oscillate in the cross-flow direction with a center-to-center spacing ratio ranging from 2 to 5. The structural damping is set to zero to enable large vibration amplitudes in the range of reduced velocity . It is found that the proximity of the cylinders does not have a significant impact to the lock-in region and cylinder responses, except at a small spacing ratio of . The critical spacing ratio is determined as and beyond that the interaction between the cylinders is negligible. The following six near-wake patterns are observed; the irregular pattern, in-phase flip-flopping pattern, out-of-phase flip-flopping pattern, in-phase-synchronized pattern, antiphase-synchronized pattern and the biased antiphase-synchronized pattern. These patterns are plotted in a plane of and , together with approximate borderlines to distinguish one region from the others. The time histories, spectral features and wavelet transform contours of drag and lift forces are presented to elucidate the mechanisms of the in-phase and out-of-phase flip-flopping phenomena. It is established that the in-phase flip-flopping stems from the long-short near-wake pattern and its low-frequency flip-over, whereas the out-of-phase pattern originates from the large vortex shedding from the fictitious bluff-body with an augmented characteristic length. |
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| Keywords: | Vortex-induced vibration Two side-by-side cylinders Near-wake pattern Flip-flopping |
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