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The Quarterly Journal of Mechanics and Applied Mathematics 1998 51(4):647-666; doi:10.1093/qjmam/51.4.647
© 1998 by Oxford University Press
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Wave radiation and diffraction by a submerged sphere in a channel

GX Wu

( Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, UK )

Wave radiation and diffraction by a submerged sphere is analysed based on the linearized velocity potential theory. The solution is obtained based o the multiple expansion which satisfies the boundary conditions on the free surface, at infinity and on side walls. The coefficients in the expansion are obtained by imposing the body surface boundary condition. Results are obtained for the added mass, the damping coefficient, the exciting force and the drift force. Some of the results have been compared with those obtained from alternative equations and they are all in excellent agreement. The effect of the trapped mode is also discussed. It is found that this effect becomes evident when the sphere is close to the free surface and the channel is very narrow.


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