Journal of Fluid Mechanics

Note on added mass and drift

T. Brooke  Benjamin a1
a1 Mathematical Institute, 24/29 St Giles, Oxford OX1 3LB

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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.

(Published Online April 21 2006)
(Received August 20 1985)

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