Film flows down a fiber: Modeling and influence of streamwise viscous diffusion

Christian Ruyer-Quil, Philip Trevelyan, F Giorgiutti-Dauphiné, C Duprat, Serafim Kalliadasis

Research output: Contribution to journalArticlepeer-review


A two-equation model is formulated in terms of two coupled evolution equations for the film thickness h and the local flow rate q within the framework of lubrication theory. Consistency is achieved up to first order in the film parameter epsilon and streamwise diffusion effects are accounted for. The evolution equation obtained by Craster and Matar [1] is recovered in the appropriate limit. Comparisons to the experimental results by [2] and [3] show good agreement in the linear and nonlinear regimes. Second-order viscous diffusion terms are found to potentially enhance the speed and amplitude of nonlinear waves triggered by the Rayleigh-Plateau instability mechanism. Time-dependent computations of the spatial evolution of the film reveal a strong influence of streamwise diffusion on the dynamics of the flow and the wave selection process.
Original languageEnglish
Pages (from-to)89-92
Number of pages4
JournalThe European Physical Journal: Special Topics
Publication statusE-pub ahead of print - 8 Feb 2009

Bibliographical note

Copyright © 2009 Springer Nature Switzerland AG


  • Solitary wave
  • Capillary pressure
  • European physical journal special topic
  • Spatial evolution
  • Lubrication theory


Dive into the research topics of 'Film flows down a fiber: Modeling and influence of streamwise viscous diffusion'. Together they form a unique fingerprint.

Cite this