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High frequency limiting virtual-mass coefficients of heaving half-immersed spheres

Published online by Cambridge University Press:  11 April 2006

A. M. J. Davis
A. M. J. Davis
Affiliation:
Department of Mathematics, University College London
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Abstract

High frequency surface waves are generated by the forced heaving of either two half-immersed spheres in infinite water or by a half-immersed sphere in a hemispherical lake. The virtual-mass coefficients can be found, to leading order, in terms of wave-free limit potentials.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 80 , Issue 2 , 25 April 1977 , pp. 305 - 319
Copyright
© 1977 Cambridge University Press

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References

Basset, A. B. 1888 Hydrodynamics, vol. 1. Deighton Bell.
Davis, A. M. J. 1971 Mathematika 18, 20–39.
Davis, A. M. J. 1975a J. Inst. Math. Appl. 15, 221–237.
Davis, A. M. J. 1975b Mathematika 22, 122–134.
Davis, A. M. J. 1976a Quart. J. Mech. Appl. Math. 29, 415–427.
Davis, A. M. J. 1976b J. Fluid Mech. 75, 791–807.
Davis, A. M. J., O'Neill, M. E., Dorrepaal, J. M. & Ranger, K. B. 1976 J. Fluid Mech. 77, 625–644.
Lamb, H. 1932 Hydrodynamics, 6th edn. Cambridge University Press.
Latta, G. E. & Hess, G. B. 1973 Phys. Fluids 16, 974–976.
Majumdar, S. R. 1961 Bull. Inst. Politeh, Iasi 7, 51–55.
Morse, P. M. & Feshbach, H. 1953 Methods of Theoretical Physics, vol. 2. McGraw-Hill.
Weihs, D. & Small, R. D. 1975a Israel J. Tech. 13, 1–6.
Weihs, D. & Small, R. D. 1975b J. Appl. Mech. 42, 763–765.