Reflection of capillary-gravity waves |
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| Institution: | 1. Department of Civil and Environmental Engineering, Brunel University London, Uxbridge UB8 3PH, UK;2. School of Naval Architecture and Marine Engineering, National Technical University of Athens, Zografos 15773, Greece;1. Environmental Process Modelling Centre (EPMC), Nanyang Environment and Water Research Institute (NEWRI), Nanyang Technological University, 1 CleanTech Loop, CleanTech One, #06-08, Singapore 637141;2. School of Civil and Environmental Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798;3. 132 Rowley Laboratories, Civil and Environmental Engineering, Clarkson University, Potsdam, NY, USA 13699-5710 |
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| Abstract: | The reflection of a capillary-gravity wave by a partially immersed obstacle depends on the conditions applied at the contact line between the free surface of the fluid and the boundary of the obstacle. The contact angle varies with the speed of the contact line relative to the boundary and a simple model of this variation is used to determine the reflection and transmission coefficients for a vertical plane barrier of finite depth. The incident plane wave has its crests parallel to the plate and the fluid is of infinite depth. The varying contact angle requires that energy be dissipated at the edge, and the proportion of the incident energy that is reflected, transmitted and dissipated is also calculated. |
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