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Modelling film flows down a fibre

Published online by Cambridge University Press:  30 April 2008

C. RUYER-QUIL ,
P. TREVELEYAN ,
F. GIORGIUTTI-DAUPHINÉ ,
C. DUPRAT  and
S. KALLIADASIS
C. RUYER-QUIL
Affiliation:
Laboratoire FAST – UMR CNRS 7608, Campus universitaire, 91405 Orsay, France
P. TREVELEYAN
Affiliation:
Department of Chemical Engineering, Imperial College London, London SW7 2AZ, UK
F. GIORGIUTTI-DAUPHINÉ
Affiliation:
Laboratoire FAST – UMR CNRS 7608, Campus universitaire, 91405 Orsay, France
C. DUPRAT
Affiliation:
Laboratoire FAST – UMR CNRS 7608, Campus universitaire, 91405 Orsay, France
S. KALLIADASIS
Affiliation:
Department of Chemical Engineering, Imperial College London, London SW7 2AZ, UK
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Abstract

Consider the gravity-driven flow of a thin liquid film down a vertical fibre. A model of two coupled evolution equations for the local film thickness h and the local flow rate q is formulated within the framework of the long-wave and boundary-layer approximations. The model accounts for inertia and streamwise viscous diffusion. Evolution equations obtained by previous authors are recovered in the appropriate limit. Comparisons to experimental results show good agreement in both linear and nonlinear regimes. Viscous diffusion effects are found to have a stabilizing dispersive effect on the linear waves. Time-dependent computations of the spatial evolution of the film reveal a strong influence of streamwise viscous diffusion on the dynamics of the flow and the wave selection process.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 603 , 25 May 2008 , pp. 431 - 462
Copyright
Copyright © Cambridge University Press 2008

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