2019-05-26T17:49:13Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:6049
2016-04-20T14:41:38Z
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Coupled Mean Flow-Amplitude Equations for Nearly Inviscid Parametrically Driven Surface Waves
Knobloch, Edgar
Martel, Carlos
Vega de Prada, JosÃ© Manuel
Mathematics
Aeronautics
Physics
Nearly inviscid parametrically excited surface gravity-capillary waves in two-dimensional periodic domains of finite depth and both small and large aspect ratio are considered. Coupled equations describing the evolution of the amplitudes of resonant left- and right-traveling waves and their interaction with a mean flow in the bulk are derived, and the conditions for their validity established. In general the mean flow consists of an inviscid part together with a viscous streaming flow driven by a tangential stress due to an oscillating viscous boundary layer near the free surface and a tangential velocity due to a bottom boundary layer. These forcing mechanisms are important even in the limit of vanishing viscosity, and provide boundary conditions for the Navier-Stokes equation satisfied by the mean flow in the bulk. The streaming flow is responsible for several instabilities leading to pattern drift.
E.T.S.I. AeronÃ¡uticos (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2002-10
info:eu-repo/semantics/article
Article
Annals of the New York Academy of Sciences, ISSN 1749-6632, 2002-10, Vol. 974
PeerReviewed
application/pdf
eng
http://onlinelibrary.wiley.com/doi/10.1111/j.1749-6632.2002.tb05909.x/abstract
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1111/j.1749-6632.2002.tb05909.x
http://oa.upm.es/6049/