Influence of curvature on tear film dynamics

Moussa Allouche, Hamid Ait Abderrahmane, Seddik M. Djouadi, Kacem Mansouri

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


This paper generalizes the model of Aydemir et al. (2010) by approximating the cornea surface as spherical rather than flat. The model, which consists of a pair of coupled nonlinear partial differential equations for the thickness of the aqueous layer and the concentration of the lipid, is solved in the domain squeezed between a moving upper lid and fixed lower lid. Away the upper lid the curvature has a weak influence on the film thickness; this confirms the conclusion of Braun et al. (2012). However, the curvature influences the thinning rate of the tear film near the upper eyelid.

Original languageBritish English
Pages (from-to)81-91
Number of pages11
JournalEuropean Journal of Mechanics, B/Fluids
StatePublished - Nov 2017


  • Curved substrate
  • Lubrication theory
  • Polar lipid
  • Tear film flow


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