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

Number of Access:882（2025-09-30 11:13 Counts）

Identifier to cite or link to this item: https://hdl.handle.net/11094/79018

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Title
A relation between membrane permeability and flow rate at low Reynolds number in circular pipe
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
CreatorName
Tazaki, Asahi
NRID
1000000758691 1000000758691
CreatorName
Miyauchi, Suguru
NRID
1000030185772 1000030185772
CreatorName
Kajishima, Takeo
Subject
Permeable membrane
Permeability
Pressure discontinuity
Discrete-forcing immersed boundary
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.
Publisher
Elsevier
Source Title
Journal of Membrane Science
Volume (Issue)
582
Page
91-102
Date of Issued
2019-07-15
Language
English
Handle URL
https://hdl.handle.net/11094/79018
PISSN
03767388
NCID
AA00702477
Relation.isVersionOf
DOI (Publisher Version)
https://doi.org/10.1016/j.memsci.2019.03.018
Access Rights
open access
CopyRight
© 2019 Elsevier Ltd. This manuscript version is made available under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International license.
oaire:version
Accepted Manuscript
Category
学術雑誌論文 Journal Article