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Impact of narrow plates on broader liquid bodies
Institution:1. Faculty of Technology and Maritime Science, University of Southeast Norway, Tønsberg, Norway;2. Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, Ås, Norway;1. Department of Civil Engineering, Aalborg University, 9000 Aalborg, Denmark;2. Department of Civil, Structural and Environmental Engineering, Trinity College Dublin, Dublin 2, Ireland;1. State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China;2. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai Jiao Tong University, Shanghai, 200240, China;3. Department of Naval Architecture and Marine Engineering, University of Strathclyde, Glasgow, G11XQ, United Kingdom;1. Department of Mechanical Engineering, Purdue University, West Lafayette, USA;2. Indian Institute of Technology, Kharagpur, India
Abstract:Analytical leading-order solutions are given for liquid bodies that hit a rigid plate in impulsive incompressible impact. The liquid bodies are broader than the impacting plate which causes a mixed boundary condition. The initial velocity field, the corresponding pressure impulse field, and the associated virtual masses are calculated. The following liquid body geometries are studied: 2D rectangles hit symmetrically by the plate, including a case with impermeable sidewalls, asymmetric hit of a 2D rectangle, and symmetric hit of a 3D rectangular box, and of a circular cylinder. A plausible estimate for liquid impact is that a marine structure can never be struck by a greater force impulse than the momentum of incoming liquid perpendicular to its own cross section. By comparing the virtual mass with the total projected fluid mass above the plate for the different liquid body geometries, it is found that the estimate holds for all the computed cases.
Keywords:Impulsive impact  Liquid body  Fluid flow  Narrow wall
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