Volume 48, Number 1, October I 1999
|Page(s)||49 - 52|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 September 2002|
Capillary-gravity waves: The effect of viscosity on the wave resistance
Collège de France, Physique de la Matière Condensée, URA 792 du CNRS 11 place Marcelin Berthelot, 75231 Paris cedex 05, France
Accepted: 8 August 1999
The effect of viscosity on the wave resistance experienced by a two-dimensional perturbation moving at uniform velocity over the free surface of a fluid is investigated. The analysis is based on Rayleigh's linearized theory of capillary-gravity waves. It is shown in particular that the wave resistance remains bounded as the velocity of the perturbation approaches the minimum phase speed (ρ is the liquid density, γ is the liquid-air surface tension, and g the acceleration due to gravity), unlike what is predicted by the inviscid theory.
PACS: 47.35.+i – Hydrodynamic waves / 68.10.-m – Fluid surfaces and fluid-fluid interfaces
© EDP Sciences, 1999
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