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Predicting large experimental excess pressure drops for Boger fluids in contraction–expansion flow

I.E. Garduño, J.E. López-Aguilar, Michael Webster Orcid Logo, Hamid Tamaddon Jahromi

Journal of Non-Newtonian Fluid Mechanics, Volume: 230, Pages: 43 - 67

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

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DOI (Published version): 10.1016/j.jnnfm.2016.01.019

Abstract

More recent finite element/volume studies on pressure-drops in contraction flows have introduced a variety of constitutive models to compare and contrast the competing influences of extensional viscosity, normal stress and shear-thinning. In this study, the ability of an extensional White–Metzner co...

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Published in: Journal of Non-Newtonian Fluid Mechanics
ISSN: 0377-0257
Published: 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa26430
first_indexed 2016-02-22T12:59:38Z
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spelling 2020-05-27T12:23:08.3134688 v2 26430 2016-02-18 Predicting large experimental excess pressure drops for Boger fluids in contraction–expansion flow b6a811513b34d56e66489512fc2c6c61 0000-0002-7722-821X Michael Webster Michael Webster true false b3a1417ca93758b719acf764c7ced1c5 Hamid Tamaddon Jahromi Hamid Tamaddon Jahromi true false 2016-02-18 More recent finite element/volume studies on pressure-drops in contraction flows have introduced a variety of constitutive models to compare and contrast the competing influences of extensional viscosity, normal stress and shear-thinning. In this study, the ability of an extensional White–Metzner construction with FENE-CR model is explored to reflect enhanced excess pressure drops (epd) in axisymmetric 4:1:4 contraction-expansion flows. Solvent-fraction is taken as =0.9, to mimic viscoelastic constant shear-viscosity Boger fluids. The experimental pressure-drop data of Rothstein & McKinley [1] has been quantitatively captured (in the initial pronounced rise with elasticity, and limiting plateau-patterns), via two modes of numerical prediction: (i) flow-rate Q-increase, and (ii) relaxation-time 1-increase. Here, the former Q-increase mode, in line with experimental procedures, has proved the more effective, generating significantly larger enhanced-epd. This is accompanied with dramatically enhanced trends with De-incrementation in vortex-activity, and significantly larger extrema in N1, shear-stress and related extensional and shear velocity-gradient components. In contrast, the 1-increase counterpart trends remain somewhat invariant to elasticity rise. Moreover, under Q-increase and with elasticity rise, a pattern of flow transition has been identified through three flow-phases in epd-data; (i) steady solutions for low-to-moderate elasticity levels, (ii) oscillatory solutions in the moderate elasticity regime (coinciding with Rothstein & McKinley [1] data), and (iii) finally solution divergence. New to this hybrid algorithmic formulation are - techniques in time discretisation, discrete treatment of pressure terms, compatible stress/velocity-gradient representation; handling ABS-correction in the constitutive equation, which provides consistent material-property prediction; and introducing purely-extensional velocity-gradient component specification at the shear-free centre flow-line through the velocity gradient (VGR) correction. Journal Article Journal of Non-Newtonian Fluid Mechanics 230 43 67 0377-0257 Viscoelastic fluid; pressure-drop prediction; extensional White–Metzner_FENE-CR model; axisymmetric contraction-expansion 30 4 2016 2016-04-30 10.1016/j.jnnfm.2016.01.019 COLLEGE NANME COLLEGE CODE Swansea University 2020-05-27T12:23:08.3134688 2016-02-18T16:23:35.0459839 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised I.E. Garduño 1 J.E. López-Aguilar 2 Michael Webster 0000-0002-7722-821X 3 Hamid Tamaddon Jahromi 4 0026430-18022016162446.pdf TamaddonJahromiPredictingLargeExperimental2016AAM.pdf 2016-02-18T16:24:46.8700000 Output 2588234 application/pdf Accepted Manuscript true 2017-02-08T00:00:00.0000000 true
title Predicting large experimental excess pressure drops for Boger fluids in contraction–expansion flow
spellingShingle Predicting large experimental excess pressure drops for Boger fluids in contraction–expansion flow
Michael Webster
Hamid Tamaddon Jahromi
title_short Predicting large experimental excess pressure drops for Boger fluids in contraction–expansion flow
title_full Predicting large experimental excess pressure drops for Boger fluids in contraction–expansion flow
title_fullStr Predicting large experimental excess pressure drops for Boger fluids in contraction–expansion flow
title_full_unstemmed Predicting large experimental excess pressure drops for Boger fluids in contraction–expansion flow
title_sort Predicting large experimental excess pressure drops for Boger fluids in contraction–expansion flow
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 I.E. Garduño
J.E. López-Aguilar
Michael Webster
Hamid Tamaddon Jahromi
format Journal article
container_title Journal of Non-Newtonian Fluid Mechanics
container_volume 230
container_start_page 43
publishDate 2016
institution Swansea University
issn 0377-0257
doi_str_mv 10.1016/j.jnnfm.2016.01.019
college_str Faculty of Science and Engineering
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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 1
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description More recent finite element/volume studies on pressure-drops in contraction flows have introduced a variety of constitutive models to compare and contrast the competing influences of extensional viscosity, normal stress and shear-thinning. In this study, the ability of an extensional White–Metzner construction with FENE-CR model is explored to reflect enhanced excess pressure drops (epd) in axisymmetric 4:1:4 contraction-expansion flows. Solvent-fraction is taken as =0.9, to mimic viscoelastic constant shear-viscosity Boger fluids. The experimental pressure-drop data of Rothstein & McKinley [1] has been quantitatively captured (in the initial pronounced rise with elasticity, and limiting plateau-patterns), via two modes of numerical prediction: (i) flow-rate Q-increase, and (ii) relaxation-time 1-increase. Here, the former Q-increase mode, in line with experimental procedures, has proved the more effective, generating significantly larger enhanced-epd. This is accompanied with dramatically enhanced trends with De-incrementation in vortex-activity, and significantly larger extrema in N1, shear-stress and related extensional and shear velocity-gradient components. In contrast, the 1-increase counterpart trends remain somewhat invariant to elasticity rise. Moreover, under Q-increase and with elasticity rise, a pattern of flow transition has been identified through three flow-phases in epd-data; (i) steady solutions for low-to-moderate elasticity levels, (ii) oscillatory solutions in the moderate elasticity regime (coinciding with Rothstein & McKinley [1] data), and (iii) finally solution divergence. New to this hybrid algorithmic formulation are - techniques in time discretisation, discrete treatment of pressure terms, compatible stress/velocity-gradient representation; handling ABS-correction in the constitutive equation, which provides consistent material-property prediction; and introducing purely-extensional velocity-gradient component specification at the shear-free centre flow-line through the velocity gradient (VGR) correction.
published_date 2016-04-30T12:56:39Z
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