Lubrication pressure model in a non-negligible gap for fluid permeation through a membrane with finite permeability

Takeuchi, Shintaro; Fukada, Toshiaki; Yamada, Shuji et al.

Physical Review Fluids, 2021, 6(11), 114101

Number of Access:792（2025-08-14 02:42 Counts）

Identifier to cite or link to this item: https://hdl.handle.net/11094/85126

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Title
Lubrication pressure model in a non-negligible gap for fluid permeation through a membrane with finite permeability
Creator
NRID
1000050372628 1000050372628
ORCID
0000-0003-0091-4542 0000-0003-0091-4542
researchmap permalink
50372628 50372628
Scopus Author ID
35474283000 35474283000
CreatorName
Takeuchi, Shintaro
NRID
1000030812127 1000030812127
CreatorName
Fukada, Toshiaki
CreatorName
Yamada, Shuji
NRID
1000000758691 1000000758691
CreatorName
Miyauchi, Suguru
NRID
1000030185772 1000030185772
CreatorName
Kajishima, Takeo
Description
Shintaro Takeuchi, Toshiaki Fukada, Shuji Yamada, Suguru Miyauchi, and Takeo Kajishima, "Lubrication pressure model in a non-negligible gap for fluid permeation through a membrane with finite permeability", Physical Review Fluids, 6(11), 114101, https://doi.org/10.1103/PhysRevFluids.6.114101.
Abstract
The membrane permeation of a fluid occurring near the wall is strongly influenced by lubrication because the generated pressure accelerates the fluid passing through the membrane. In the present study, the membrane permeation of a pure fluid driven by the lubrication pressure is modeled for a general wall-membrane geometry to understand the effect of permeability on the permeate flux in a range of wall-membrane gap widths that cannot be treated by the Reynolds lubrication equation. This lubrication effect (referred to as the non-Reynolds lubrication effect) is modeled by including a higher-order pressure component described by the wall-tangential derivative of the local Couette-Poiseuille velocity, and a permeate flux model with the non-Reynolds lubrication effect is developed. The permeation model is validated with a corrugated membrane placed in a two-dimensional parallel channel with a fixed aspect ratio (i.e., the average wall-membrane distance to the longitudinal membrane length) of 0.1. The permeation driven by the lubrication pressure between the membrane and wall is studied by varying the nondimensional permeability. At an infinitesimal permeability, the permeate flux model shows good agreement with the fully resolved numerical simulation owing to the comparable contribution of the Couette and Poiseuille components in the permeation model, whereas the permeation model exhibits a diverging trend at finite permeabilities because the Couette component in the model produces an excessive contribution to the lubrication pressure. However, by applying a simplified renormalization procedure to the Couette component into the lowest-order pressure component, the diverging trend is suppressed and the permeate flux in a finite permeability range is reproduced. The applicability of the renormalization-group permeation model is discussed in terms of the conditions of the wall-membrane gap and permeability range.
Publisher
American Physical Society
Source Title
Physical Review Fluids
Volume (Issue)
6(11)
Page
114101
Date of Issued
2021-11-05
Language
English
Handle URL
https://hdl.handle.net/11094/85126
eISSN
2469990X
Relation.isIdenticalTo
DOI (Publisher Version)
https://doi.org/10.1103/PhysRevFluids.6.114101
Access Rights
open access
CopyRight
©2021 American Physical Society
oaire:version
Version of Record
Category
学術雑誌論文 Journal Article