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An experimental study of the onset of parametrically pumped surface waves in viscous fluids

Published online by Cambridge University Press:  26 April 2006

John Bechhoefer ,
Valerie Ego ,
Sebastien Manneville  and
Brad Johnson
John Bechhoefer
Affiliation:
Department of Physics, Simon Fraser University, Burnaby, British Columbia, V5A 1S6, Canada
Valerie Ego
Affiliation:
Department of Physics, Simon Fraser University, Burnaby, British Columbia, V5A 1S6, Canada
Sebastien Manneville
Affiliation:
Department of Physics, Simon Fraser University, Burnaby, British Columbia, V5A 1S6, Canada
Brad Johnson
Affiliation:
Department of Physics, Simon Fraser University, Burnaby, British Columbia, V5A 1S6, Canada
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Abstract

We measure the threshold accelerations necessary to excite surface waves in a vertically vibrated fluid container (the Faraday instability). Under the proper conditions, the thresholds and onset wavelengths agree with recent theoretical predictions for a laterally infinite, finite-depth container filled with a viscous fluid. Experimentally, we show that by using a viscous, non-polar fluid, the finite-size effects of sidewalls and the effects of surface contamination can be made negligible. We also show that finite-size corrections are of order h/L, where h is the fluid depth and L the container size. Based on these measurements, one can more easily interpret certain unexpected observations from previous experimental studies of the Faraday instability.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 288 , 10 April 1995 , pp. 325 - 350
Copyright
© 1995 Cambridge University Press

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