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The Gordon–Schowalter/Johnson–Segalman model in parallel and orthogonal superposition rheometry and its application in the study of worm-like micellular systems

Adeniyi Ogunkeye, Becky Hudson, A.R. Davies, Daniel Curtis Orcid Logo

Journal of Non-Newtonian Fluid Mechanics, Volume: 327, Start page: 105216

Swansea University Authors: Adeniyi Ogunkeye, Becky Hudson, Daniel Curtis Orcid Logo

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DOI (Published version): 10.1016/j.jnnfm.2024.105216

Abstract

Parallel and Orthogonal Superposition experiments may be employed to probe a material’s non-linear rheological properties through the rate-dependent parallel and orthogonal superposition moduli, G∗ ∥(ω, γ˙ ) and G∗ ⊥(ω, γ˙ ), respectively. In a recent series of publications, we have considered the p...

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Published in: Journal of Non-Newtonian Fluid Mechanics
ISSN: 0377-0257
Published: Elsevier BV 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa65833
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In a recent series of publications, we have considered the problem of interconversion between parallel and orthogonal superposition moduli as a means of probing flow induced anisotropy. However, as noted by Yamomoto in 1971 [Yamomoto, Trans. Soc. Rheol 15 (1971) 331-344]] superposition flows may be used to assess the ability of a particular constitutive model to describe the flow of complex fluids. Herein, we derive expressions for the superposition moduli of the Gordon-Schowalter (or Johnson-Segalman) fluid. This model contains, as special cases, the corotational Maxwell model, the upper (and lower) convected Maxwell models, the corotational Jeffreys model, and the Oldroyd-B model. We also consider the conditionsunder which the superposition moduli may take negative values before studying a specific, non shear banding, worm like micellular system of cetylpyridinium chloride and sodium salicylate. We find that, using a weakly non-linear analysis (in which the model parameters are rate independent) the Gordon-Schowalter/Johnson- Segalman (GS/JS) model is unable to describe the superposition moduli. However, by permitting strong non-linearity (allowing the GS/JS parameters to become shear rate dependent), the superposition moduli, at all rates studied, are described well by the model. Based on this strongly non-linear anlaysis, the shear rate dependency of the GS/JS ‘slip parameter’, a, suggests that the onset of shear thinning in the specific worm-like micellular system studied herein is driven by a combination of microstructural modification and a transition from rotation dominated (as in the corotational Jeffreys model) to shear dominated (as in the Oldroyd-B model) deformation of the microstructural elements.</abstract><type>Journal Article</type><journal>Journal of Non-Newtonian Fluid Mechanics</journal><volume>327</volume><journalNumber/><paginationStart>105216</paginationStart><paginationEnd/><publisher>Elsevier BV</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>0377-0257</issnPrint><issnElectronic/><keywords>Superposition rheometry; Gordon–Schowalter model; Worm like micelles</keywords><publishedDay>1</publishedDay><publishedMonth>3</publishedMonth><publishedYear>2024</publishedYear><publishedDate>2024-03-01</publishedDate><doi>10.1016/j.jnnfm.2024.105216</doi><url/><notes/><college>COLLEGE NANME</college><department>Science and Engineering - Faculty</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>FGSEN</DepartmentCode><institution>Swansea University</institution><apcterm>SU Library paid the OA fee (TA Institutional Deal)</apcterm><funders>DJC &amp; REH acknowledge the support of EPSRC, UK through grant EP/T026154/1. DJC also acknowledges financial support from EPSRC, UK through grant EP/N013506/1 (DJC) &amp; and the European Regional Development Fund via Llywodraeth Cymru (AFM2 and IMPACT Projects). 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spelling v2 65833 2024-03-13 The Gordon–Schowalter/Johnson–Segalman model in parallel and orthogonal superposition rheometry and its application in the study of worm-like micellular systems 0c2051635b4a12e78e538a39bb047204 Adeniyi Ogunkeye Adeniyi Ogunkeye true false db592965b442ee95469dd99c109846e0 Becky Hudson Becky Hudson true false e76ff28a23af2fe37099c4e9a24c1e58 0000-0002-6955-0524 Daniel Curtis Daniel Curtis true false 2024-03-13 FGSEN Parallel and Orthogonal Superposition experiments may be employed to probe a material’s non-linear rheological properties through the rate-dependent parallel and orthogonal superposition moduli, G∗ ∥(ω, γ˙ ) and G∗ ⊥(ω, γ˙ ), respectively. In a recent series of publications, we have considered the problem of interconversion between parallel and orthogonal superposition moduli as a means of probing flow induced anisotropy. However, as noted by Yamomoto in 1971 [Yamomoto, Trans. Soc. Rheol 15 (1971) 331-344]] superposition flows may be used to assess the ability of a particular constitutive model to describe the flow of complex fluids. Herein, we derive expressions for the superposition moduli of the Gordon-Schowalter (or Johnson-Segalman) fluid. This model contains, as special cases, the corotational Maxwell model, the upper (and lower) convected Maxwell models, the corotational Jeffreys model, and the Oldroyd-B model. We also consider the conditionsunder which the superposition moduli may take negative values before studying a specific, non shear banding, worm like micellular system of cetylpyridinium chloride and sodium salicylate. We find that, using a weakly non-linear analysis (in which the model parameters are rate independent) the Gordon-Schowalter/Johnson- Segalman (GS/JS) model is unable to describe the superposition moduli. However, by permitting strong non-linearity (allowing the GS/JS parameters to become shear rate dependent), the superposition moduli, at all rates studied, are described well by the model. Based on this strongly non-linear anlaysis, the shear rate dependency of the GS/JS ‘slip parameter’, a, suggests that the onset of shear thinning in the specific worm-like micellular system studied herein is driven by a combination of microstructural modification and a transition from rotation dominated (as in the corotational Jeffreys model) to shear dominated (as in the Oldroyd-B model) deformation of the microstructural elements. Journal Article Journal of Non-Newtonian Fluid Mechanics 327 105216 Elsevier BV 0377-0257 Superposition rheometry; Gordon–Schowalter model; Worm like micelles 1 3 2024 2024-03-01 10.1016/j.jnnfm.2024.105216 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University SU Library paid the OA fee (TA Institutional Deal) DJC & REH acknowledge the support of EPSRC, UK through grant EP/T026154/1. DJC also acknowledges financial support from EPSRC, UK through grant EP/N013506/1 (DJC) & and the European Regional Development Fund via Llywodraeth Cymru (AFM2 and IMPACT Projects). ARD acknowledges the support of EPSRC, UK through the Inverse Problems Network grant EP/P005985/1. 2024-03-25T10:06:11.8449150 2024-03-13T11:27:00.8626210 Faculty of Science and Engineering School of Engineering and Applied Sciences - Materials Science and Engineering Adeniyi Ogunkeye 1 Becky Hudson 2 A.R. Davies 3 Daniel Curtis 0000-0002-6955-0524 4 65833__29818__7f3042cd402a4608a3552043192c8c97.pdf 65833.VOR.pdf 2024-03-25T10:04:33.9170201 Output 3221536 application/pdf Version of Record true © 2024 The Authors. This is an open access article under the CC BY license. true eng http://creativecommons.org/licenses/by/4.0/
title The Gordon–Schowalter/Johnson–Segalman model in parallel and orthogonal superposition rheometry and its application in the study of worm-like micellular systems
spellingShingle The Gordon–Schowalter/Johnson–Segalman model in parallel and orthogonal superposition rheometry and its application in the study of worm-like micellular systems
Adeniyi Ogunkeye
Becky Hudson
Daniel Curtis
title_short The Gordon–Schowalter/Johnson–Segalman model in parallel and orthogonal superposition rheometry and its application in the study of worm-like micellular systems
title_full The Gordon–Schowalter/Johnson–Segalman model in parallel and orthogonal superposition rheometry and its application in the study of worm-like micellular systems
title_fullStr The Gordon–Schowalter/Johnson–Segalman model in parallel and orthogonal superposition rheometry and its application in the study of worm-like micellular systems
title_full_unstemmed The Gordon–Schowalter/Johnson–Segalman model in parallel and orthogonal superposition rheometry and its application in the study of worm-like micellular systems
title_sort The Gordon–Schowalter/Johnson–Segalman model in parallel and orthogonal superposition rheometry and its application in the study of worm-like micellular systems
author_id_str_mv 0c2051635b4a12e78e538a39bb047204
db592965b442ee95469dd99c109846e0
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author_id_fullname_str_mv 0c2051635b4a12e78e538a39bb047204_***_Adeniyi Ogunkeye
db592965b442ee95469dd99c109846e0_***_Becky Hudson
e76ff28a23af2fe37099c4e9a24c1e58_***_Daniel Curtis
author Adeniyi Ogunkeye
Becky Hudson
Daniel Curtis
author2 Adeniyi Ogunkeye
Becky Hudson
A.R. Davies
Daniel Curtis
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description Parallel and Orthogonal Superposition experiments may be employed to probe a material’s non-linear rheological properties through the rate-dependent parallel and orthogonal superposition moduli, G∗ ∥(ω, γ˙ ) and G∗ ⊥(ω, γ˙ ), respectively. In a recent series of publications, we have considered the problem of interconversion between parallel and orthogonal superposition moduli as a means of probing flow induced anisotropy. However, as noted by Yamomoto in 1971 [Yamomoto, Trans. Soc. Rheol 15 (1971) 331-344]] superposition flows may be used to assess the ability of a particular constitutive model to describe the flow of complex fluids. Herein, we derive expressions for the superposition moduli of the Gordon-Schowalter (or Johnson-Segalman) fluid. This model contains, as special cases, the corotational Maxwell model, the upper (and lower) convected Maxwell models, the corotational Jeffreys model, and the Oldroyd-B model. We also consider the conditionsunder which the superposition moduli may take negative values before studying a specific, non shear banding, worm like micellular system of cetylpyridinium chloride and sodium salicylate. We find that, using a weakly non-linear analysis (in which the model parameters are rate independent) the Gordon-Schowalter/Johnson- Segalman (GS/JS) model is unable to describe the superposition moduli. However, by permitting strong non-linearity (allowing the GS/JS parameters to become shear rate dependent), the superposition moduli, at all rates studied, are described well by the model. Based on this strongly non-linear anlaysis, the shear rate dependency of the GS/JS ‘slip parameter’, a, suggests that the onset of shear thinning in the specific worm-like micellular system studied herein is driven by a combination of microstructural modification and a transition from rotation dominated (as in the corotational Jeffreys model) to shear dominated (as in the Oldroyd-B model) deformation of the microstructural elements.
published_date 2024-03-01T10:06:09Z
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