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Fluid flow and interface motion in gels: A finite-strain theory and its application to a channel flow problem
https://oist.repo.nii.ac.jp/records/2235
https://oist.repo.nii.ac.jp/records/223520811ecd-fb44-4d80-98bd-40b314cdcba3
名前 / ファイル | ライセンス | アクション |
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Duda-2021-Fluid-flow-and-interface-motion-in- (1.3 MB)
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CC BY-NC-ND 4.0
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International(https://creativecommons.org/licenses/by-nc-nd/4.0/) |
Item type | 学術雑誌論文 / Journal Article(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2021-09-07 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Fluid flow and interface motion in gels: A finite-strain theory and its application to a channel flow problem | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Polymer gel | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Large deformation | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Liquid permeation | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Sharp interface | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Channel flow | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Duda, Fernando P.
× Duda, Fernando P.× Souza, Angela C.× Fried, Eliot |
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書誌情報 |
en : Journal of the Mechanics and Physics of Solids 巻 155, p. 104566, 発行日 2021-07-15 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | We present a theory for coupled deformation and liquid permeation in polymer gels, allowing for large strains and rotations in conjunction with sharp interfaces separating regions of high and low polymer volume fraction. The theory is applied to pressure-driven liquid flow through a gel-filled rectangular channel, with the aim of investigating how the elastic and osmotic properties of the gel influence the resulting permeation process. Apart from streamwise flow in the direction of the applied pressure drop, the permeation process may involve transverse flow if the elastic response of the gel allows the normal stress acting on a plane parallel to the channel walls to be affected by the shear stress acting on the same plane. For certain elastic energy densities, including those of neo-Hookean and Mooney type, liquid permeation takes place exclusively in the direction of the applied pressure drop. Otherwise, spanwise permeation driven by the contribution to the normal stress distributed on planes parallel to the channel walls is also present. In contrast to the downstream flow, the transverse flow is transient and is accompanied by changes in composition leading to a nonuniform polymer distribution across the channel and thereby influencing the downstream flow profile. By analyzing the instantaneous response of the gel, we determine the driving force for the transverse flow and show that for strain-stiffening networks the transverse motion of the interstitial liquid is directed inward from the channel walls and that the polymer network motion spreads outward from the center of the channel toward the walls. The opposite occurs for strain-slackening networks. By analyzing the steady-state response, we demonstrate that the applied pressure gradient leads to nonuniform transverse distributions of polymer chains than can be continuous or discontinuous. Discontinuous distributions occur for an effective osmotic response involving attractive interactions and are accompanied by the formation of regions of high and low polymer volume fraction separated by sharp interfaces. Finally, we provide illustrative examples for a gel whose elastic and osmotic responses are modeled by the Gent elastic energy density and the Flory–Huggins mixing energy density, respectively. | |||||
出版者 | ||||||
出版者 | Elsevier | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0022-5096 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1016/j.jmps.2021.104566 | |||||
権利 | ||||||
権利情報 | © 2021 The Author(s) | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://www.sciencedirect.com/science/article/pii/S0022509621002179 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |