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1 results

  • Fluid Permeation Through A Membrane With Infinitesimal Permeability Under Reynolds Lubrication

  • Asahi Tazaki, Shintaro Takeuchi, Suguru Miyauchi, Lucy T. Zhang, Ryo Onishi, Takeo Kajishima
  • Journal:
    Journal of Mechanics / Volume 36 / Issue 5 / October 2020
    Published online by Cambridge University Press:
    14 August 2020, pp. 637-648
    Print publication:
    October 2020
    • Article
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  • 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.