A Piston-Type Nonlinear Wavemaker Theoryby Jinjun Wang, Beijing Univ of Aeronautics and, Astronautics, Beijing, China,
Abstract: In this paper, the small-amplitude surface waves produced by a piston-type nonlinear porous wavemaker in an infinitely and a semi-infinitely long channel are studied. Analytical solution of second order are obtained for free surface wave profiles. It is found that the 'wave-trapping' phenomenon will occur, when the distance between the wavemaker and the end-plate of the semi-infinite channel is a multiple of the half-wavelength of second order propagating surface waves. What is more, the influence of a dimensionless wave-effect parameter C and a dimensionless nonlinear porous-effect parameter Cs on the analytical results is also discussed.
Subject Headings: Surface waves | Nonlinear waves | Free surfaces | Water waves | Porous media | Wave propagation | Parameters (statistics) | Plates
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