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Dissipation and ordering in capillary waves at high aspect ratios

Published online by Cambridge University Press:  26 April 2006

Bo Christiansen ,
Preben Alstrøm  and
Mogens T. Levinsen
Bo Christiansen
Affiliation:
Center for Chaos and Turbulence Studies, Niels Bohr Institute, ørsted Laboratory, DK-2100 Copenhagen ø, Denmark
Preben Alstrøm
Affiliation:
Center for Chaos and Turbulence Studies, Niels Bohr Institute, ørsted Laboratory, DK-2100 Copenhagen ø, Denmark
Mogens T. Levinsen
Affiliation:
Center for Chaos and Turbulence Studies, Niels Bohr Institute, ørsted Laboratory, DK-2100 Copenhagen ø, Denmark Present address: Danish Meteorological Institute, DK-2100 Copenhagen ø, Denmark.
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Abstract

We present an experimental study of high-aspect-ratio Faraday waves. We have measured the dispersion relation and the damping rate, together with the critical amplitude for the primary instability for a wide range of frequencies. We find that our results are well explained by the linear theory, if damping from the moving contact line is considered in addition to the bulk damping. Just above the primary instability a seemingly disordered stationary state is observed. We argue that this state is a superposition of normal modes. Approximately 5% above the primary instability this state breaks down in favour of a quasi-crystalline state. This result is discussed, partly in the light of the recent third-order nonlinear theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 291 , 25 May 1995 , pp. 323 - 341
Copyright
© 1995 Cambridge University Press

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