Fluid Permeation through A Membrane with Infinitesimal Permeability under Reynolds Lubrication

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

doi:10.1017/jmech.2020.38

Fluid Permeation through A Membrane with Infinitesimal Permeability under Reynolds Lubrication

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

Creative Flow Research Division

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	637-648
Number of pages	12
Journal	Journal of Mechanics
Volume	36
Issue number	5
DOIs	https://doi.org/10.1017/jmech.2020.38
Publication status	Published - 2020 Oct 1

Keywords

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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title = "Fluid Permeation through A Membrane with Infinitesimal Permeability under Reynolds Lubrication",

abstract = "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. ",

keywords = "Discrete-forcing immersed boundary method, Lubrication, Permeable membrane, Pressure discontinuity",

author = "Asahi Tazaki and Shintaro Takeuchi and Suguru Miyauchi and Zhang, {Lucy T.} and Ryo Onishi and Takeo Kajishima",

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AU - Tazaki, Asahi

AU - Takeuchi, Shintaro

AU - Miyauchi, Suguru

AU - Zhang, Lucy T.

AU - Onishi, Ryo

AU - Kajishima, Takeo

PY - 2020/10/1

Y1 - 2020/10/1

N2 - 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.

AB - 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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