The flow-induced instability of long hanging pipes |
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| Institution: | 1. Instituto de Astronomia y Meteorología, Av. Vallarta No. 2502, Col. Ladrón de Guevara, Departamento de Física, CUCEI, Universidad de Guadalajara, Mexico;2. Aix Marseille Univ, CNRS, Centrale Marseille, IRPHE UMR 7342, 49 rue F. Joliot Curie, Marseille 13013, France;1. Department of Mechanical, Materials and Manufacturing Engineering, University of Nottingham Ningbo China, Ningbo 315100, PR China;2. Division of Materials, Mechanics and Structures, University Park, The University of Nottingham, Nottingham NG7 2RD, UK;1. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, China;2. Institute of Polar and Ocean Technology, Institute of Marine Equipment, Shanghai Jiao Tong University, Shanghai, China;3. Ulsan Ship and Ocean College, Ludong University, Yantai, China;4. CNOOC Research Institute Limited, Beijing, China |
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| Abstract: | The effect of increasing length on the stability of a hanging fluid-conveying pipe is investigated. Experiments show that there exists a critical length above which the flow velocity necessary to cause flutter becomes independent of the pipe length. The fluid-structure interaction is thus modelled by following the work of Bourrières and of Paı̈doussis. Computations using a standard Galerkin method confirm this evolution. A short pipe model is then considered, where gravity plays a negligible role. Transition between this short length model and the asymptotic situation is found to occur where a local stability criterion is satisfied at the upstream end of the pipe. For longer pipes, a model is proposed where the zone of stable waves is totally disregarded. Comparison of these models with experiments and computations show a good agreement over all ranges of mass ratios between the flowing fluid and the pipe. |
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