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Note on added mass and drift

Published online by Cambridge University Press:  21 April 2006

T. Brooke Benjamin
T. Brooke Benjamin
Affiliation:
Mathematical Institute, 24/29 St Giles, Oxford OX1 3LB
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Abstract

Several points of interpretation are reviewed bearing on the celebrated discovery by Darwin (1953) that the added mass for a body translating uniformly in an infinite expanse of perfect fluid equals the drift-volume times the density of the fluid. The discussion focuses on the delicate qualifications needed to secure this equality as a mathematical proposition. In § 2 a different approach to the matter is presented, leading to a new fact about added mass. In § 3 a model of infinity in the fluid is proposed which clarifies an aspect of Darwin's original analysis.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 169 , August 1986, pp. 251 - 256
Copyright
© 1986 Cambridge University Press

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References

Benjamin, T. B. 1986 Hamiltonian theory for motions of bubbles in an infinite liquid. J. Fluid Mech. (submitted).Google Scholar
Benjamin, T. B. & Olver, P. J. 1982 Hamiltonian structure, symmetries and conservation laws for water waves. J. Fluid Mech. 125, 137–185.Google Scholar
Birkhoff, G. 1950 Hydrodynamics. Princeton University Press. (Dover edition 1955.)
Darwin, C. 1953 Note on hydrodynamics. Proc. Camb. Phil. Soc. 49, 342–354.Google Scholar
Kochin, N. E., Kibel, I. A. & Roze, N. V. 1964 Theoretical Hydrodynamics. Interscience.
Saffman, P. G. 1967 The self-propulsion of a deformable body in a perfect fluid. J. Fluid Mech. 28, 385–389.Google Scholar
Theodorsen, T. 1941 Impulse and momentum in an infinite fluid. Von Kármán anniversary volume, p. 49 California Institute of Technology.
Yih, C.-S. 1985 New derivations of Darwin's theorem. J. Fluid Mech. 152, 163–172.Google Scholar