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Effect of surfactants on the long-wave stability of oscillatory film flow

Published online by Cambridge University Press:  14 August 2006

PENG GAO  and
XI-YUN LU
PENG GAO
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China
XI-YUN LU
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China
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Abstract

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Effects of insoluble surfactants on the stability of film flow driven by an oscillatory plate are investigated in the limit of long-wavelength perturbations. Two particular Floquet modes are identified and the corresponding growth rates are obtained by solving a quadratic equation. Results show that the oscillatory film flow can be stabilized by surface surfactant in the sense of raising the critical Froude number and narrowing the bandwidths of the unstable frequencies.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 562 , 10 September 2006 , pp. 345 - 354
Copyright
© 2006 Cambridge University Press