Transport of solute and solvent driven by lubrication pressure through non-deformable permeable membranes

Yamada, Shuji; Takeuchi, Shintaro; Miyauchi, Suguru et al.

Microfluidics and Nanofluidics, 2021, 25(10), 83

Number of Access:760（2025-08-16 00:37 Counts）

Identifier to cite or link to this item: https://hdl.handle.net/11094/85120

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Title
Transport of solute and solvent driven by lubrication pressure through non-deformable permeable membranes
Creator
CreatorName
Yamada, Shuji
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
1000000758691 1000000758691
CreatorName
Miyauchi, Suguru
NRID
1000030185772 1000030185772
CreatorName
Kajishima, Takeo
Description
Yamada, S., Takeuchi, S., Miyauchi, S. et al. Transport of solute and solvent driven by lubrication pressure through non-deformable permeable membranes. Microfluid Nanofluid 25, 83 (2021). https://doi.org/10.1007/s10404-021-02480-5.
Abstract
A discrete-forcing immersed boundary method with permeable membranes is developed to investigate the effect of lubrication on the permeations of solute and solvent through membrane. The permeation models are incorporated into the discretisation at the fluid cells including the membrane, and discretised equations for the pressure Poisson equation and convection–diffusion equation for the solute are represented with the discontinuities at the membrane. The validity of the proposed method is established by the convergence of the numerical results of the permeate fluxes (solute and solvent) to higher-order analytical models in a lubrication-dominated flow field. As a model of the mass exchange between inside and outside of a biological cell flowing in a capillary, a circular membrane is placed between parallel flat plates, and the effect of lubrication is investigated by varying the distance between the membrane and the walls. The pressure discontinuity near the wall is larger than that at the stagnation point, which is a highlighted effect of lubrication. In the case of a small gap, the solute transport is dominated by convection inside the circular membrane and by diffusion outside. Through the time variation of the concentration in the circular membrane, lubrication is shown to enhance mass transport from/to inside and outside the membrane.
Publisher
Springer
Source Title
Microfluidics and Nanofluidics
Volume (Issue)
25(10)
Page
83
Date of Issued
2021-10
Language
English
Handle URL
https://hdl.handle.net/11094/85120
PISSN
16134982
eISSN
16134990
NCID
AA12015849
Relation.isVersionOf
DOI (Publisher Version)
https://doi.org/10.1007/s10404-021-02480-5
Access Rights
open access
CopyRight
© 2021 The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License.
oaire:version
Accepted Manuscript
Category
学術雑誌論文 Journal Article