A relation between membrane permeability and flow rate at low Reynolds number in circular pipe

Takeuchi, Shintaro; Tazaki, Asahi; Miyauchi, Suguru; Kajishima, Takeo

doi:https://doi.org/10.1016/j.memsci.2019.03.018

A relation between membrane permeability and flow rate at low Reynolds number in circular pipe

Takeuchi, Shintaro; Tazaki, Asahi; Miyauchi, Suguru et al.

Journal of Membrane Science, 2019, 582, 91-102

アクセス数:842件（2025-08-16 04:49 集計）

固定URL: https://hdl.handle.net/11094/79018

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タイトル	A relation between membrane permeability and flow rate at low Reynolds number in circular pipe
著者	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
	著者名 Tazaki, Asahi
	NRID 1000000758691 1000000758691 著者名 Miyauchi, Suguru
	NRID 1000030185772 1000030185772 著者名 Kajishima, Takeo
キーワード等	Permeable membrane
	Permeability
	Pressure discontinuity
	Discrete-forcing immersed boundary
抄録	A relation between membrane permeability to a pure solvent and flow rate is derived in a circular pipe driven by a constant pressure difference across the pipe length. Membrane is assumed to be non-deformable and zero thickness, and the permeate flux of pure solvent due to pressure discontinuity across the flat membrane is coupled with the governing equations for incompressible Newtonian fluid in the Stokes regime. The permeation flow rate (normalised by that of the Hagen-Poiseuille flow for the no-membrane case or with a membrane of infinite permeability) is represented as a function of a non-dimensional permeability including the aspect ratio of the pipe geometry. The relation is established through comparison with a fully-validated numerical simulation result: the numerical discretisation is based on our original discrete-forcing immersed boundary method, which guarantees (i) conservations of mass and momentum even in the immediate vicinity of the membrane surface and (ii) consistency between incompressible velocity and pressure fields. Inverse analysis of the above formula yields the permeability as function of the flow rate through the pipe, comprising three equations covering the entire permeability ranges. The established permeability formulae are expected to be useful for identifying effective permeabilities of membrane to single-component fluid or pure solvent in practical applications.
出版者	Elsevier
収録物名	Journal of Membrane Science
巻(号)	582
ページ	91-102
刊行年月	2019-07-15
言語	英語
ハンドルURL	https://hdl.handle.net/11094/79018
PISSN	03767388
NCID	AA00702477
関連情報 (isVersionOf)	DOI (出版社版) https://doi.org/10.1016/j.memsci.2019.03.018
アクセス権	open access
権利情報	© 2019 Elsevier Ltd. This manuscript version is made available under the Creative Commons Attribution-NonCommercial-NoDerivatives 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	Journal of Membrane Science. 2019, 582, p. 91-102
DC.title	A relation between membrane permeability and flow rate at low Reynolds number in circular pipe
DC.creator	Takeuchi, Shintaro
	Tazaki, Asahi
	Miyauchi, Suguru
	Kajishima, Takeo
DC.publisher	Elsevier
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2019-07-15
DC.identifier	https://doi.org/10.1016/j.memsci.2019.03.018
DC.subject	Permeable membrane
	Permeability
	Pressure discontinuity
	Discrete-forcing immersed boundary
DCTERMS.abstract	A relation between membrane permeability to a pure solvent and flow rate is derived in a circular pipe driven by a constant pressure difference across the pipe length. Membrane is assumed to be non-deformable and zero thickness, and the permeate flux of pure solvent due to pressure discontinuity across the flat membrane is coupled with the governing equations for incompressible Newtonian fluid in the Stokes regime. The permeation flow rate (normalised by that of the Hagen-Poiseuille flow for the no-membrane case or with a membrane of infinite permeability) is represented as a function of a non-dimensional permeability including the aspect ratio of the pipe geometry. The relation is established through comparison with a fully-validated numerical simulation result: the numerical discretisation is based on our original discrete-forcing immersed boundary method, which guarantees (i) conservations of mass and momentum even in the immediate vicinity of the membrane surface and (ii) consistency between incompressible velocity and pressure fields. Inverse analysis of the above formula yields the permeability as function of the flow rate through the pipe, comprising three equations covering the entire permeability ranges. The established permeability formulae are expected to be useful for identifying effective permeabilities of membrane to single-component fluid or pure solvent in practical applications.
DC.rights	© 2019 Elsevier Ltd. This manuscript version is made available under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International license.
DC.format	79018
citation_title	A relation between membrane permeability and flow rate at low Reynolds number in circular pipe
citation_author	Takeuchi, Shintaro
	Tazaki, Asahi
	Miyauchi, Suguru
	Kajishima, Takeo
citation_publisher	Elsevier
citation_language	英語
citation_date	2019-07-15
citation_journal_title	Journal of Membrane Science
citation_volume	582
citation_firstpage	91
citation_lastpage	102
citation_doi	https://doi.org/10.1016/j.memsci.2019.03.018
citation_public_url	https://hdl.handle.net/11094/79018

A relation between membrane permeability and flow rate at low Reynolds number in circular pipe

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