New derivations of Darwin's theorem
- 1 March 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 152, 163-172
- https://doi.org/10.1017/s0022112085000623
Abstract
Two new derivations of Darwin's theorem on the equality of the added mass for translation of a body moving in an ideal fluid of infinite extent and the drift mass are given. The first is based on the idea of time lag, used by Rayleigh (1876), Ursell (1953), and Longuet-Higgins (1953) to study fluid drift. The second is truly elementary, relying only on the concept of continuity and Newton's second law of motion. A geometrical interpretation of the result in the first derivation is given, and a few examples are provided.Keywords
This publication has 3 references indexed in Scilit:
- Internal waves of finite amplitude and permanent formJournal of Fluid Mechanics, 1966
- DriftJournal of Fluid Mechanics, 1956
- Characteristics of internal solitary wavesJournal of Research of the National Bureau of Standards, 1953