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Experimental evidence for a short-wave global mode in film flow along periodic corrugations

Published online by Cambridge University Press:  08 February 2013

Z. Cao ,
M. Vlachogiannis  and
V. Bontozoglou
Z. Cao
Affiliation:
Department of Mechanical Engineering, University of Thessaly, GR-38334 Volos, Greece
M. Vlachogiannis
Affiliation:
Department of Mechanical Engineering, University of Thessaly, GR-38334 Volos, Greece Technological Educational Institute of Larissa, GR-41110 Larissa, Greece
V. Bontozoglou*
Affiliation:
Department of Mechanical Engineering, University of Thessaly, GR-38334 Volos, Greece
*
†Email address for correspondence: [email protected]
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Abstract

The primary instability of liquid film flow along periodically corrugated substrates is studied experimentally. Two different wall shapes, of the same wavelength and height, are tested for a wide range of inclinations. It is found that, beyond a specific inclination, a new instability mode occurs before the classical, convective, long-wave one. This is a short, travelling wave, which is highly regular and persistently two-dimensional, and appears to be a global mode. The exact shape of the corrugations has a leading-order effect on the inclination at which the new mode appears and on its wavelength at inception. Compared with the behaviour of film flow on a flat substrate, the presently tested periodic walls are found to delay very significantly, but each one to a different extent, the onset of the primary instability. This delay increases with inclination, and presents a distinct discontinuity when transition from the long- to the short-wave mode takes place.

JFM classification

Interfacial Flows (free surface): Thin films Waves/Free-surface Flows: Waves/Free-surface Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 718 , 10 March 2013 , pp. 304 - 320
Copyright
©2013 Cambridge University Press

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