Rainwater rivulets running on a stay cable subject to wind |
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| Authors: | Cécile Lemaitre Emmanuel de Langre Pascal Hémon |
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| Institution: | 1. Department of Mathematics and Physics, Graduate School of Science, Osaka City University, Japan;2. Osaka City University Advanced Mathematical Institute (OCAMI), 3-3-138, Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan;1. Department of Bridge Engineering Southwest Jiaotong University, Chengdu, China;2. Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hong Kong, China;1. Department of Aerospace and Mechanical Engineering, University of Liège, Allée de la Découverte, 9 Quartier Polytech 1, B52/3, B-4000 Liège, Belgium;2. Department of Electrical Engineering and Computer Science, University of Liège, Allée de la Découverte, 10 Quartier Polytech 1, B28, B-4000 Liège, Belgium;3. LadHyX, UMR 7646, CNRS-Ecole Polytechnique, F-91128 Palaiseau, France;4. Conservatoire National des Arts et Métiers, F-75141 Paris, France;1. NatHaz Modeling Laboratory, University of Notre Dame, Notre Dame, IN, USA;2. Wind Engineering Research Center, Hunan University, Changsha, China |
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| Abstract: | Stay cables are likely to vibrate under the combined effect of rain and wind in the so-called phenomenon rain–wind-induced vibrations (RWIVs). Rain takes part in the phenomenon in the shape of water rivulets that run along the cables. In previous articles, the authors investigated the conditions under which such rivulets can be formed. Using a lubrication model, it was shown for a particular wind–cable configuration that rivulets can only be exhibited above a critical wind speed for which gravity is overcome. The rivulets’ position was also predicted with the model. The results were validated by experiments.In this paper, the wind speed at which rivulets appear and their position are expressed for an arbitrary wind–cable orientation. A maximum wind speed for the rivulets’ existence is then estimated as the result of a balance between the drag force and the surface tension. A wind speed interval is consequently obtained for the rivulets’ appearance and maintenance on a cylinder. The boundaries of this interval are expressed in term of Weber numbers, comparing the surface tension and wind effect. These predictions are successfully compared with all the measurements that have been published in the literature. |
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