Fluid Permeation through A Membrane with Infinitesimal Permeability under Reynolds Lubrication

Asahi Tazaki, Shintaro Takeuchi, Suguru Miyauchi, Lucy T. Zhang, Ryo Onishi, Takeo Kajishima

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


To understand the lubrication-dominated permeation through a membrane, numerical simulations of permeation through a moving corrugated permeable membrane is carried out with a fully validated numerical method. Through comparisons between the numerical results and the results of an asymptotic analysis of permeate flux (under an infinitesimal permeability condition) using Reynolds lubrication equation, the effect of permeation on lubrication and its inverse effect (i.e., the dependence of permeation on lubrication) are discussed. The linear and non-linear dependences of the relaxation of the lubrication pressure due to membrane permeation are identified. The effect of the tangential component of the permeate flux is evaluated by a linear analysis, and the limitation of Reynolds-type lubrication is discussed.

Original languageEnglish
Pages (from-to)637-648
Number of pages12
JournalJournal of Mechanics
Issue number5
Publication statusPublished - 2020 Oct 1


  • Discrete-forcing immersed boundary method
  • Lubrication
  • Permeable membrane
  • Pressure discontinuity

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics


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