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Contraction-ratio variation and prediction of large experimental pressure-drops in sharp-corner circular contraction-expansions–Boger fluids

J.E. López-Aguilar, Michael Webster Orcid Logo, Hamid Tamaddon-Jahromi, M. Pérez-Camacho, O. Manero

Journal of Non-Newtonian Fluid Mechanics, Volume: 237, Pages: 39 - 53

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

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DOI (Published version): 10.1016/j.jnnfm.2016.10.005

Abstract

This study is concerned with the continuum modelling of sharp-corner contraction-expansion axisymmetric flows, under contraction-ratio variation, and more particularly, in the precise capture of the large-levels of experimental excess pressure-drops (epd) for Boger fluids. The particular contraction...

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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/cronfa30797
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The particular contraction-ratios (&#x3B1;) considered are those studied experimentally by M. P&#xE9;rez-Camacho, J.E. L&#xF3;pez-Aguilar, F. Calderas, O. Manero, M.F. Webster, J. Non-Newton. Fluid Mech. 222 (2015) 260-271; of &#x3B1;={2, 4, 6, 8, 10}. Their experimental PAA/corn-syrup Boger fluids have been characterized and modelled with the so-called swanINNFM model through dissipative continuum-scale modelling. This facilitates the precise capture of experimental-levels of epd-data (largest epd=O(6) under &#x3B1;=10 contraction-ratio and sharp corners). The swanINNFM model has already proven capable of reproducing the large excess pressure-drops reported by J.P. Rothstein, G.H. McKinley, J. Non-Newton. Fluid Mech. 98 (2001) 33-63, in their experiments (epd=O(3) for &#x3B1;=4 contraction-ratio and PS/PS Boger fluids); it is also capable of reproducing the Boger-fluid pressure-drop rise, relative to Newtonian-instance, in axisymmetric &#x3B1;=4 contraction-flow, as opposed to the null rise observed in the planar counterpart reported by S. Nigen, K. Walters, J. Non-Newton. Fluid Mech., 102 (2002) 343-359. In the present study, at each contraction-ratio and under De-rise (flow-rate-increase), one may identify two main phases: i) an epd plateauing-region at low deformation-rates, and ii) a sudden epd-rise above the Newtonian unity reference- line. With elevation in contraction-ratio, the first plateaued-epd phase is elongated and the maximum epd-levels rise significantly. Such epd-elevation is captured theoretically and numerically, with counterpart rise in extensional-viscosity. In addition, this position in epd-response correlates well against trends in vortex-dynamics - correctly capturing lip-vortex appearance, lip-vortex and salient-corner vortex co-existence and coalescence, and ultimate elastic corner-vortex domination. 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spelling 2020-07-08T15:15:10.5344454 v2 30797 2016-10-24 Contraction-ratio variation and prediction of large experimental pressure-drops in sharp-corner circular contraction-expansions–Boger fluids b6a811513b34d56e66489512fc2c6c61 0000-0002-7722-821X Michael Webster Michael Webster true false b3a1417ca93758b719acf764c7ced1c5 Hamid Tamaddon-Jahromi Hamid Tamaddon-Jahromi true false 2016-10-24 EEN This study is concerned with the continuum modelling of sharp-corner contraction-expansion axisymmetric flows, under contraction-ratio variation, and more particularly, in the precise capture of the large-levels of experimental excess pressure-drops (epd) for Boger fluids. The particular contraction-ratios (α) considered are those studied experimentally by M. Pérez-Camacho, J.E. López-Aguilar, F. Calderas, O. Manero, M.F. Webster, J. Non-Newton. Fluid Mech. 222 (2015) 260-271; of α={2, 4, 6, 8, 10}. Their experimental PAA/corn-syrup Boger fluids have been characterized and modelled with the so-called swanINNFM model through dissipative continuum-scale modelling. This facilitates the precise capture of experimental-levels of epd-data (largest epd=O(6) under α=10 contraction-ratio and sharp corners). The swanINNFM model has already proven capable of reproducing the large excess pressure-drops reported by J.P. Rothstein, G.H. McKinley, J. Non-Newton. Fluid Mech. 98 (2001) 33-63, in their experiments (epd=O(3) for α=4 contraction-ratio and PS/PS Boger fluids); it is also capable of reproducing the Boger-fluid pressure-drop rise, relative to Newtonian-instance, in axisymmetric α=4 contraction-flow, as opposed to the null rise observed in the planar counterpart reported by S. Nigen, K. Walters, J. Non-Newton. Fluid Mech., 102 (2002) 343-359. In the present study, at each contraction-ratio and under De-rise (flow-rate-increase), one may identify two main phases: i) an epd plateauing-region at low deformation-rates, and ii) a sudden epd-rise above the Newtonian unity reference- line. With elevation in contraction-ratio, the first plateaued-epd phase is elongated and the maximum epd-levels rise significantly. Such epd-elevation is captured theoretically and numerically, with counterpart rise in extensional-viscosity. In addition, this position in epd-response correlates well against trends in vortex-dynamics - correctly capturing lip-vortex appearance, lip-vortex and salient-corner vortex co-existence and coalescence, and ultimate elastic corner-vortex domination. In this respect, their presence and transitions, may themselves be linked to increased elastic effects and normal-stress response. Journal Article Journal of Non-Newtonian Fluid Mechanics 237 39 53 0377-0257 30 11 2016 2016-11-30 10.1016/j.jnnfm.2016.10.005 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2020-07-08T15:15:10.5344454 2016-10-24T09:18:52.3999020 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised J.E. López-Aguilar 1 Michael Webster 0000-0002-7722-821X 2 Hamid Tamaddon-Jahromi 3 M. Pérez-Camacho 4 O. Manero 5 0030797-24102016092050.pdf lopez-aguilar2016.pdf 2016-10-24T09:20:50.1670000 Output 5952820 application/pdf Accepted Manuscript true 2017-10-21T00:00:00.0000000 false
title Contraction-ratio variation and prediction of large experimental pressure-drops in sharp-corner circular contraction-expansions–Boger fluids
spellingShingle Contraction-ratio variation and prediction of large experimental pressure-drops in sharp-corner circular contraction-expansions–Boger fluids
Michael Webster
Hamid Tamaddon-Jahromi
title_short Contraction-ratio variation and prediction of large experimental pressure-drops in sharp-corner circular contraction-expansions–Boger fluids
title_full Contraction-ratio variation and prediction of large experimental pressure-drops in sharp-corner circular contraction-expansions–Boger fluids
title_fullStr Contraction-ratio variation and prediction of large experimental pressure-drops in sharp-corner circular contraction-expansions–Boger fluids
title_full_unstemmed Contraction-ratio variation and prediction of large experimental pressure-drops in sharp-corner circular contraction-expansions–Boger fluids
title_sort Contraction-ratio variation and prediction of large experimental pressure-drops in sharp-corner circular contraction-expansions–Boger fluids
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
Michael Webster
Hamid Tamaddon-Jahromi
M. Pérez-Camacho
O. Manero
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container_title Journal of Non-Newtonian Fluid Mechanics
container_volume 237
container_start_page 39
publishDate 2016
institution Swansea University
issn 0377-0257
doi_str_mv 10.1016/j.jnnfm.2016.10.005
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
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description This study is concerned with the continuum modelling of sharp-corner contraction-expansion axisymmetric flows, under contraction-ratio variation, and more particularly, in the precise capture of the large-levels of experimental excess pressure-drops (epd) for Boger fluids. The particular contraction-ratios (α) considered are those studied experimentally by M. Pérez-Camacho, J.E. López-Aguilar, F. Calderas, O. Manero, M.F. Webster, J. Non-Newton. Fluid Mech. 222 (2015) 260-271; of α={2, 4, 6, 8, 10}. Their experimental PAA/corn-syrup Boger fluids have been characterized and modelled with the so-called swanINNFM model through dissipative continuum-scale modelling. This facilitates the precise capture of experimental-levels of epd-data (largest epd=O(6) under α=10 contraction-ratio and sharp corners). The swanINNFM model has already proven capable of reproducing the large excess pressure-drops reported by J.P. Rothstein, G.H. McKinley, J. Non-Newton. Fluid Mech. 98 (2001) 33-63, in their experiments (epd=O(3) for α=4 contraction-ratio and PS/PS Boger fluids); it is also capable of reproducing the Boger-fluid pressure-drop rise, relative to Newtonian-instance, in axisymmetric α=4 contraction-flow, as opposed to the null rise observed in the planar counterpart reported by S. Nigen, K. Walters, J. Non-Newton. Fluid Mech., 102 (2002) 343-359. In the present study, at each contraction-ratio and under De-rise (flow-rate-increase), one may identify two main phases: i) an epd plateauing-region at low deformation-rates, and ii) a sudden epd-rise above the Newtonian unity reference- line. With elevation in contraction-ratio, the first plateaued-epd phase is elongated and the maximum epd-levels rise significantly. Such epd-elevation is captured theoretically and numerically, with counterpart rise in extensional-viscosity. In addition, this position in epd-response correlates well against trends in vortex-dynamics - correctly capturing lip-vortex appearance, lip-vortex and salient-corner vortex co-existence and coalescence, and ultimate elastic corner-vortex domination. In this respect, their presence and transitions, may themselves be linked to increased elastic effects and normal-stress response.
published_date 2016-11-30T03:37:32Z
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score 11.012678

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