Rivulet evolution in gravity-driven thin-film flows

D. Slade*, S. Veremieiev, Y. C. Lee, P. H. Gaskell

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review


The evolution of a perfectly wetting, gravity-driven, thin, continuously-fed liquid film down an inclined planar substrate is modelled using the long-wave approximation with, as ob-served experimentally, a periodic pattern of flnger-like rivulets forming at the unstable advancing front. The required long-time solution, with the merger of neighbouring rivulets a possibility, is obtained using a purpose designed eficient multigrid methodology incorporating complementary error-controlled automatic spatio-temporal adaptivity and mesh devolution strategies. Critical wavelengths are extracted from the various solutions showing the effect of inclination angle and comparison drawn with the results of a linear stability analysis (LSA) based on the same flow conditions.

Original languageEnglish
Publication statusPublished - 2012
Event7th International Conference on Computational Fluid Dynamics 2012 - Big Island, United States
Duration: 9 Jul 201213 Jul 2012


Conference7th International Conference on Computational Fluid Dynamics 2012
Abbreviated titleICCFD 2012
Country/TerritoryUnited States
CityBig Island


  • Lubrication theory
  • Multigrid
  • Rivulets
  • Spatio-temporal adaptation

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Aerospace Engineering
  • Computational Mechanics
  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics


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