Wave drift force in a two-layer fluid of finite depth |
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Authors: | Masashi Kashiwagi |
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Affiliation: | (1) Research Institute for Applied Mechanics, Kyushu University, 6-1 Kasuga-kohen, Kasuga city, Fukuoka 816, Japan |
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Abstract: | Based on the momentum and energy conservation principles, a compact calculation formula is analytically derived for the wave-drift
force on a 2-D body floating in a two-layer fluid of finite depth. In a two-layer fluid, two different wave modes (the surface-wave
mode with longer wavelength and the internal-wave mode with shorter wavelength) exist not only in the incident wave but also
in the body-scattered wave, and these wave characteristics are properly incorporated in the obtained formula. It is noted
that, unlike the single-layer case, the wave-drift force can be negative in the incident wave of surface-wave mode, if the
transmitted wave with internal-wave mode is large. Numerical computations are implemented for a Lewis-form body by means of
the boundary-integral-equation method with Green’s function for the two-layer fluid problem. The effects of density ratio,
interface position, and body motions on the wave-drift force are studied, and some important features are found for two-layer
fluids. |
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Keywords: | Two-layer fluid Wave drift force Surface-wave mode Internal-wave mode Finite water depth |
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