Energy distribution from vertical impact of a three-dimensional solid body onto the flat free surface of an ideal fluid |
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| Institution: | 1. Ecole Supérieure d''Ingénieurs de Marseille Centre Mécanique Energétique Unité Hydrodynamique, 13451 Marseille cedex 20, France;2. Lavrentyev Institute of Hydrodynamics, Novosibirsk 630090, Russia;1. Departamento de Física, UNESP, Universidade Estadual Paulista, Av. 24A, 1515, Bela Vista, 13506-900, Rio Claro, SP, Brazil;2. School of Mathematics, University of Bristol, Bristol, BS8 1TW, United Kingdom;3. Instituto de Física, IFUSP, Universidade de São Paulo, USP, Rua do Matão, Tr.R 187, Cidade Universitária, 05314-970, São Paulo, SP, Brazil;1. Visual Computing Center, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia;2. Numerical Porous Media Center, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia;1. Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, NO-0316 Oslo, Norway;2. Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway;3. Tata Institute of Fundamental Research Centre, Centre for Applicable Mathematics, Post Bag No. 6503, GKVK Post Office, Sharada Nagar, Chikkabommasandra, Bangalore 560065, India |
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| Abstract: | Hydrodynamic impact phenomena are three dimensional in nature and naval architects need more advanced tools than a simple strip theory to calculate impact loads at the preliminary design stage. Three-dimensional analytical solutions have been obtained with the help of the so-called inverse Wagner problem as discussed by Scolan and Korobkin in 2001. The approach by Wagner provides a consistent way to evaluate the flow caused by a blunt body entering liquid through its free surface. However, this approach does not account for the spray jets and gives no idea regarding the energy evacuated from the main flow by the jets. Clear insight into the jet formation is required. Wagner provided certain elements of the answer for two-dimensional configurations. On the basis of those results, the energy distribution pattern is analysed for three-dimensional configurations in the present paper. |
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