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Phys. Rev. Lett. 98, 244502 (2007) [4 pages]

Absolute and Convective Instabilities of a Viscous Film Flowing Down a Vertical Fiber

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C. Duprat1, C. Ruyer-Quil1, S. Kalliadasis2, and F. Giorgiutti-Dauphiné1
1CNRS, Univ Pierre et Marie Curie, Univ Paris-Sud, Lab FAST, Bat 502, Campus Univ, Orsay 91405, France
2Department of Chemical Engineering, Imperial College London, London SW7 2AZ, United Kingdom

Received 14 December 2006; published 15 June 2007

The stability of a viscous film flowing down a vertical fiber under the action of gravity is analyzed both experimentally and theoretically. At large or small film thicknesses, the instability is convective, whereas an absolute instability mode is observed in an intermediate range of film thicknesses for fibers of small enough radius. The onset of the experimental irregular wavy regime corresponds precisely to the theoretical prediction of the threshold of the convective instability.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.244502
DOI:
10.1103/PhysRevLett.98.244502
PACS:
47.20.Ma, 68.03.Kn, 68.15.+e