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

Yamada, Shuji; Takeuchi, Shintaro; Miyauchi, Suguru; Kajishima, Takeo

doi:https://doi.org/10.1007/s10404-021-02480-5

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

アクセス数:760件（2025-08-16 08:30 集計）

固定URL: https://hdl.handle.net/11094/85120

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タイトル	Transport of solute and solvent driven by lubrication pressure through non-deformable permeable membranes
著者	著者名 Yamada, Shuji
	NRID 1000050372628 1000050372628 ORCID 0000-0003-0091-4542 0000-0003-0091-4542 researchmap permalink 50372628 50372628 Scopus Author ID 35474283000 35474283000 著者名 Takeuchi, Shintaro
	NRID 1000000758691 1000000758691 著者名 Miyauchi, Suguru
	NRID 1000030185772 1000030185772 著者名 Kajishima, Takeo
内容	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.
抄録	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.
出版者	Springer
収録物名	Microfluidics and Nanofluidics
巻(号)	25(10)
ページ	83
刊行年月	2021-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/85120
PISSN	16134982
eISSN	16134990
NCID	AA12015849
関連情報 (isVersionOf)	DOI (出版社版) https://doi.org/10.1007/s10404-021-02480-5
アクセス権	open access
権利情報	© 2021 The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License.
出版タイプ	Accepted Manuscript
カテゴリ	学術雑誌論文 Journal Article

資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Microfluidics and Nanofluidics. 2021, 25(10), p. 83
DC.title	Transport of solute and solvent driven by lubrication pressure through non-deformable permeable membranes
DC.creator	Yamada, Shuji
	Takeuchi, Shintaro
	Miyauchi, Suguru
	Kajishima, Takeo
DC.publisher	Springer
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2021-10
DC.identifier	https://doi.org/10.1007/s10404-021-02480-5
DC.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.
DCTERMS.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.
DC.rights	© 2021 The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License.
DC.format	85120
citation_title	Transport of solute and solvent driven by lubrication pressure through non-deformable permeable membranes
citation_author	Yamada, Shuji
	Takeuchi, Shintaro
	Miyauchi, Suguru
	Kajishima, Takeo
citation_publisher	Springer
citation_language	英語
citation_date	2021-10
citation_journal_title	Microfluidics and Nanofluidics
citation_volume	25
citation_issue	10
citation_firstpage	83
citation_doi	https://doi.org/10.1007/s10404-021-02480-5
citation_public_url	https://hdl.handle.net/11094/85120

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

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