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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.

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

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