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On Faraday resonance of a viscous liquid

Published online by Cambridge University Press:  25 September 1999

JOHN MILES
JOHN MILES
Affiliation:
Cecil H. and Ida M. Green Institute of Geophysics and Planetary Physics, University of California, San Diego, La Jolla, CA 92093-0225, USA
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Abstract

The tri-diagonal determinant for Faraday resonance of a viscous liquid subject to an externally imposed vertical oscillation is expressed in terms of the surface-wave impedance of the liquid and developed as a continued fraction to obtain a systematic sequence of analytical approximations for the threshold acceleration. The impedance is calculated for either a clean or a fully contaminated surface on the assumption that the capillary, gravitational and viscous length scales are small compared with the breadth and depth of the liquid. Limiting approximations for weak and strong viscosity are constructed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 395 , 25 September 1999 , pp. 321 - 325
Copyright
© 1999 Cambridge University Press

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