Modelling film flows down a fibre

C. Ruyer-Quil; P. Treveleyan; F. Giorgiutti-Dauphiné; C. Duprat; S. Kalliadasis

doi:10.1017/S0022112008001225

Modelling film flows down a fibre

C. Ruyer-Quil
, P. Treveleyan
, F. Giorgiutti-Dauphiné
, C. Duprat
, S. Kalliadasis

Centre national de la recherche scientifique
Imperial College London

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	431-462
Number of pages	32
Journal	Journal of Fluid Mechanics
Volume	603
DOIs	https://doi.org/10.1017/S0022112008001225
Publication status	Published - 1 Jan 2008
Externally published	Yes

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title = "Modelling film flows down a fibre",

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.",

author = "C. Ruyer-Quil and P. Treveleyan and F. Giorgiutti-Dauphin{\'e} and C. Duprat and S. Kalliadasis",

note = "Funding Information: C.R.-Q. would like to thank S. Ndoumbe and F. Lusseyran with whom a preliminary study was undertaken, and Y. Bardoux for a careful reading of the manuscript. We acknowledge financial support through a travel grant supported by the Franco-British Alliance Research Partnership Programme. S.K. thanks Laboratoire FAST for hospitality.",

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doi = "10.1017/S0022112008001225",

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T1 - Modelling film flows down a fibre

AU - Ruyer-Quil, C.

AU - Treveleyan, P.

AU - Giorgiutti-Dauphiné, F.

AU - Duprat, C.

AU - Kalliadasis, S.

N1 - Funding Information: C.R.-Q. would like to thank S. Ndoumbe and F. Lusseyran with whom a preliminary study was undertaken, and Y. Bardoux for a careful reading of the manuscript. We acknowledge financial support through a travel grant supported by the Franco-British Alliance Research Partnership Programme. S.K. thanks Laboratoire FAST for hospitality.

PY - 2008/1/1

Y1 - 2008/1/1

N2 - 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.

AB - 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.

U2 - 10.1017/S0022112008001225

DO - 10.1017/S0022112008001225

M3 - Article

AN - SCOPUS:43049136625

SN - 0022-1120

VL - 603

SP - 431

EP - 462

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

ER -

Modelling film flows down a fibre

Abstract

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