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High-Weissenberg predictions for micellar fluids in contraction–expansion flows

J.E. López-Aguilar, M.F. Webster, H.R. Tamaddon-Jahromi, O. Manero, Michael Webster Orcid Logo, Hamid Tamaddon-Jahromi

Journal of Non-Newtonian Fluid Mechanics, Volume: 222, Pages: 190 - 208

Swansea University Authors: Michael Webster Orcid Logo, Hamid Tamaddon-Jahromi

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DOI (Published version): 10.1016/j.jnnfm.2014.11.008

Abstract

This study is concerned with the numerical modelling of thixotropic and non-thixotropic materials in contraction-expansion flows at high Weissenberg number (We). Thixotropy is represented via a new micellar time-dependent constitutive model for worm-like micellar systems and contrasted against netwo...

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Published in: Journal of Non-Newtonian Fluid Mechanics
ISSN: 03770257
Published: 2015
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URI: https://cronfa.swan.ac.uk/Record/cronfa24184
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fullrecord <?xml version="1.0"?><rfc1807><datestamp>2018-11-28T10:37:12.4466115</datestamp><bib-version>v2</bib-version><id>24184</id><entry>2015-11-08</entry><title>High-Weissenberg predictions for micellar fluids in contraction&#x2013;expansion flows</title><swanseaauthors><author><sid>b6a811513b34d56e66489512fc2c6c61</sid><ORCID>0000-0002-7722-821X</ORCID><firstname>Michael</firstname><surname>Webster</surname><name>Michael Webster</name><active>true</active><ethesisStudent>false</ethesisStudent></author><author><sid>b3a1417ca93758b719acf764c7ced1c5</sid><firstname>Hamid</firstname><surname>Tamaddon-Jahromi</surname><name>Hamid Tamaddon-Jahromi</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2015-11-08</date><deptcode>EEN</deptcode><abstract>This study is concerned with the numerical modelling of thixotropic and non-thixotropic materials in contraction-expansion flows at high Weissenberg number (We). Thixotropy is represented via a new micellar time-dependent constitutive model for worm-like micellar systems and contrasted against network-based time-independent PTT forms. The work focuses on steady-state solutions in axisymmetric rounded-corner 4:1:4 contraction-expansion flows for the benchmark solvent-fraction of &#x3B2;=1/9 and moderate hardening characteristics (&#xF065;=0.25). In practice, this work has relevance to industrial and healthcare applications, such as enhanced oil-reservoir recovery and microfluidics. Simulations have been performed via a hybrid finite element/finite volume algorithm, based around an incremental pressure-correction time-stepping structure. To obtain high-We solutions, both micellar and PTT constitutive equation f-functionals have been amended by (i) adopting their absolute values appealing to physical arguments (ABS-correction); (ii) through a change of stress variable, &#x3A0;=&#x3C4;p+(&#x3B7;p0/&#x3BB;1)I, that aims to prevent the loss of evolution in the underlying initial value problem; and finally, (iii) through an improved realisation of velocity gradient boundary conditions imposed at the centreline (VGR-correction). On the centreline, the eigenvalues of &#x3A0; are identified with its &#x3A0;&#x2013;stress-components, and discontinuities in &#x3A0;&#x2013;components are located and associated with the f-functional-poles in simple uniaxial extension. Quality of solution is described through &#xF074;rz, N1 and N2 (signature of vortex dynamics) stress fields, and &#xF050;-eigenvalues. With {micellar, EPTT} fluids, the critical Weissenberg number is shifted from critical states of Wecrit={4.9, 220} without correction, to Wecrit={O(102), O(103)} with ABS-VGR-correction. Furthermore, such constitutive equation correction has been found to have general applicability.</abstract><type>Journal Article</type><journal>Journal of Non-Newtonian Fluid Mechanics</journal><volume>222</volume><paginationStart>190</paginationStart><paginationEnd>208</paginationEnd><publisher/><issnPrint>03770257</issnPrint><keywords>high-elasticity solutions, positive definiteness, wormlike micelles, Bautista-Manero models, numerical simulation, hybrid finite element/volume method, enhanced oil-recovery</keywords><publishedDay>31</publishedDay><publishedMonth>8</publishedMonth><publishedYear>2015</publishedYear><publishedDate>2015-08-31</publishedDate><doi>10.1016/j.jnnfm.2014.11.008</doi><url/><notes></notes><college>COLLEGE NANME</college><department>Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>EEN</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2018-11-28T10:37:12.4466115</lastEdited><Created>2015-11-08T16:55:52.4402392</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Engineering and Applied Sciences - Uncategorised</level></path><authors><author><firstname>J.E.</firstname><surname>L&#xF3;pez-Aguilar</surname><order>1</order></author><author><firstname>M.F.</firstname><surname>Webster</surname><order>2</order></author><author><firstname>H.R.</firstname><surname>Tamaddon-Jahromi</surname><order>3</order></author><author><firstname>O.</firstname><surname>Manero</surname><order>4</order></author><author><firstname>Michael</firstname><surname>Webster</surname><orcid>0000-0002-7722-821X</orcid><order>5</order></author><author><firstname>Hamid</firstname><surname>Tamaddon-Jahromi</surname><order>6</order></author></authors><documents/><OutputDurs/></rfc1807>
spelling 2018-11-28T10:37:12.4466115 v2 24184 2015-11-08 High-Weissenberg predictions for micellar fluids in contraction–expansion flows b6a811513b34d56e66489512fc2c6c61 0000-0002-7722-821X Michael Webster Michael Webster true false b3a1417ca93758b719acf764c7ced1c5 Hamid Tamaddon-Jahromi Hamid Tamaddon-Jahromi true false 2015-11-08 EEN This study is concerned with the numerical modelling of thixotropic and non-thixotropic materials in contraction-expansion flows at high Weissenberg number (We). Thixotropy is represented via a new micellar time-dependent constitutive model for worm-like micellar systems and contrasted against network-based time-independent PTT forms. The work focuses on steady-state solutions in axisymmetric rounded-corner 4:1:4 contraction-expansion flows for the benchmark solvent-fraction of β=1/9 and moderate hardening characteristics (=0.25). In practice, this work has relevance to industrial and healthcare applications, such as enhanced oil-reservoir recovery and microfluidics. Simulations have been performed via a hybrid finite element/finite volume algorithm, based around an incremental pressure-correction time-stepping structure. To obtain high-We solutions, both micellar and PTT constitutive equation f-functionals have been amended by (i) adopting their absolute values appealing to physical arguments (ABS-correction); (ii) through a change of stress variable, Π=τp+(ηp0/λ1)I, that aims to prevent the loss of evolution in the underlying initial value problem; and finally, (iii) through an improved realisation of velocity gradient boundary conditions imposed at the centreline (VGR-correction). On the centreline, the eigenvalues of Π are identified with its Π–stress-components, and discontinuities in Π–components are located and associated with the f-functional-poles in simple uniaxial extension. Quality of solution is described through rz, N1 and N2 (signature of vortex dynamics) stress fields, and -eigenvalues. With {micellar, EPTT} fluids, the critical Weissenberg number is shifted from critical states of Wecrit={4.9, 220} without correction, to Wecrit={O(102), O(103)} with ABS-VGR-correction. Furthermore, such constitutive equation correction has been found to have general applicability. Journal Article Journal of Non-Newtonian Fluid Mechanics 222 190 208 03770257 high-elasticity solutions, positive definiteness, wormlike micelles, Bautista-Manero models, numerical simulation, hybrid finite element/volume method, enhanced oil-recovery 31 8 2015 2015-08-31 10.1016/j.jnnfm.2014.11.008 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2018-11-28T10:37:12.4466115 2015-11-08T16:55:52.4402392 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised J.E. López-Aguilar 1 M.F. Webster 2 H.R. Tamaddon-Jahromi 3 O. Manero 4 Michael Webster 0000-0002-7722-821X 5 Hamid Tamaddon-Jahromi 6
title High-Weissenberg predictions for micellar fluids in contraction–expansion flows
spellingShingle High-Weissenberg predictions for micellar fluids in contraction–expansion flows
Michael Webster
Hamid Tamaddon-Jahromi
title_short High-Weissenberg predictions for micellar fluids in contraction–expansion flows
title_full High-Weissenberg predictions for micellar fluids in contraction–expansion flows
title_fullStr High-Weissenberg predictions for micellar fluids in contraction–expansion flows
title_full_unstemmed High-Weissenberg predictions for micellar fluids in contraction–expansion flows
title_sort High-Weissenberg predictions for micellar fluids in contraction–expansion flows
author_id_str_mv b6a811513b34d56e66489512fc2c6c61
b3a1417ca93758b719acf764c7ced1c5
author_id_fullname_str_mv b6a811513b34d56e66489512fc2c6c61_***_Michael Webster
b3a1417ca93758b719acf764c7ced1c5_***_Hamid Tamaddon-Jahromi
author Michael Webster
Hamid Tamaddon-Jahromi
author2 J.E. López-Aguilar
M.F. Webster
H.R. Tamaddon-Jahromi
O. Manero
Michael Webster
Hamid Tamaddon-Jahromi
format Journal article
container_title Journal of Non-Newtonian Fluid Mechanics
container_volume 222
container_start_page 190
publishDate 2015
institution Swansea University
issn 03770257
doi_str_mv 10.1016/j.jnnfm.2014.11.008
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 0
active_str 0
description This study is concerned with the numerical modelling of thixotropic and non-thixotropic materials in contraction-expansion flows at high Weissenberg number (We). Thixotropy is represented via a new micellar time-dependent constitutive model for worm-like micellar systems and contrasted against network-based time-independent PTT forms. The work focuses on steady-state solutions in axisymmetric rounded-corner 4:1:4 contraction-expansion flows for the benchmark solvent-fraction of β=1/9 and moderate hardening characteristics (=0.25). In practice, this work has relevance to industrial and healthcare applications, such as enhanced oil-reservoir recovery and microfluidics. Simulations have been performed via a hybrid finite element/finite volume algorithm, based around an incremental pressure-correction time-stepping structure. To obtain high-We solutions, both micellar and PTT constitutive equation f-functionals have been amended by (i) adopting their absolute values appealing to physical arguments (ABS-correction); (ii) through a change of stress variable, Π=τp+(ηp0/λ1)I, that aims to prevent the loss of evolution in the underlying initial value problem; and finally, (iii) through an improved realisation of velocity gradient boundary conditions imposed at the centreline (VGR-correction). On the centreline, the eigenvalues of Π are identified with its Π–stress-components, and discontinuities in Π–components are located and associated with the f-functional-poles in simple uniaxial extension. Quality of solution is described through rz, N1 and N2 (signature of vortex dynamics) stress fields, and -eigenvalues. With {micellar, EPTT} fluids, the critical Weissenberg number is shifted from critical states of Wecrit={4.9, 220} without correction, to Wecrit={O(102), O(103)} with ABS-VGR-correction. Furthermore, such constitutive equation correction has been found to have general applicability.
published_date 2015-08-31T03:28:38Z
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score 11.012678

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