THE RADIATION AND DIFFRACTION OF WATER WAVES BY A BOTTOM-MOUNTED CIRCULAR CYLINDER IN A TWO-LAYER FLUID |
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Authors: | YOU Yun-xiang SHI Qiang MIAO Guo-ping |
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Affiliation: | 1. Geocoastal Research Group, School of Geosciences, Madsen Building (F09), The University of Sydney, New South Wales 2006, Australia;2. Office of Environment and Heritage, NSW Government, 59 Goulburn Street, Sydney, New South Wales 2000, Australia;1. Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India;2. Department of Ocean Engineering and Naval Architecture, Indian Institute of Technology, Kharagpur 721302, India |
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Abstract: | An analytical method was proposed to analyze the radiation and diffraction of water waves by a bottom-mounted circular cylinder in a two-layer fluid. Analytical expressions for added mass and damping coefficients, as well as the wave excitation forces of the circular cylinder were obtained by an eigenfunction expansion method. The hydrodynamic forces on the bottom-mounted circular cylinder in a two-layer fluid include not only the added mass and damping coefficients, but also the wave forces of the surface and internal-wave modes. This is different from the case of a homogenous fluid. Some examples were given, showing that density stratification can have a relative large effect on these hydrodynamic forces over a wide range of frequencies. |
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Keywords: | two-layer fluid bottom-mounted cylinder surface-wave mode internal-wave mode hydrodynamic forces |
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