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Fluid Permeation Through A Membrane With Infinitesimal Permeability Under Reynolds Lubrication

Published online by Cambridge University Press:  14 August 2020

Asahi Tazaki
Dept. of Mechanical Engineering, Osaka University, Osaka, Japan
Shintaro Takeuchi*
Dept. of Mechanical Engineering, Osaka University, Osaka, Japan
Suguru Miyauchi
Institute of Fluid Science, Tohoku University, Miyagi, Japan Dept. of Mechanical Engineering, University College London, Torrington Place, London, UK
Lucy T. Zhang
Dept. of Mechanical, Aerospace, and Nuclear Engineering, Rensselaer Polytechnic Institute, New York, USA
Ryo Onishi
Center for Earth Information Science and Technology, Japan Agency for Marine-Earth Science and Technology, Kanagawa, Japan
Takeo Kajishima
Dept. of Mechanical Engineering, Osaka University, Osaka, Japan


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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.

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Copyright © 2020 The Society of Theoretical and Applied Mechanics



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