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Phys Rev Lett. 2007 Jun 15;98(24):244502. Epub 2007 Jun 15.

Absolute and convective instabilities of a viscous film flowing down a vertical fiber.

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1
CNRS, Univ Pierre et Marie Curie, Univ Paris-Sud, Lab FAST, Bat 502, Campus Univ, Orsay 91405, France.

Abstract

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.

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