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On the use of continuous spectrum and discrete-mode differential models to predict contraction-flow pressure drops for Boger fluids

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

Physics of Fluids, Volume: 29, Issue: 12, Start page: 121613

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

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DOI (Published version): 10.1063/1.4991872

Abstract

Over recent years, there has been slow but steady progress towards the qualitative numerical prediction of observed behaviour when highly elastic Boger fluids flow in contraction geometries. This has led to an obvious desire to seek quantitative agreement between prediction and experiment, a subject...

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Published in: Physics of Fluids
ISSN: 1070-6631 1089-7666
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa37026
first_indexed 2017-11-23T14:05:17Z
last_indexed 2020-07-14T13:03:18Z
id cronfa37026
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spelling 2020-07-14T11:31:28.4972656 v2 37026 2017-11-23 On the use of continuous spectrum and discrete-mode differential models to predict contraction-flow pressure drops for Boger fluids b6a811513b34d56e66489512fc2c6c61 0000-0002-7722-821X Michael Webster Michael Webster true false b3a1417ca93758b719acf764c7ced1c5 Hamid Tamaddon Jahromi Hamid Tamaddon Jahromi true false 2017-11-23 Over recent years, there has been slow but steady progress towards the qualitative numerical prediction of observed behaviour when highly elastic Boger fluids flow in contraction geometries. This has led to an obvious desire to seek quantitative agreement between prediction and experiment, a subject which is addressed in the current paper. We conclude that constitutive models of non-trivial complexity are required to make headway in this regard. However, we suggest that the desire to move from qualitative to quantitative agreement between theory and experiment is making real progress. In the present case with differential models, this has involved the introduction of a generalized continuous spectrum model. This is based on direct data input from material functions and rheometrical measurements. The class of such models assumes functional separability across shear and extensional deformation, through two master functions, governing independently material-time and viscous-response. The consequences of such a continuous spectrum representation are compared and contrasted against discrete-mode alternatives, via an averaged single-mode approximation and a multi-modal approximation. The effectiveness of each chosen form is gauged by the quality of match to complex flow response and experimental measurement. Here, this is interpreted in circular contraction-type flows with Boger fluids, where large experimental pressure-drop data are available and wide disparity between different fluid responses has been recorded in the past. Findings are then back-correlated to base-material response from ideal viscometric flow. Journal Article Physics of Fluids 29 12 121613 1070-6631 1089-7666 1 12 2017 2017-12-01 10.1063/1.4991872 COLLEGE NANME COLLEGE CODE Swansea University 2020-07-14T11:31:28.4972656 2017-11-23T10:53:07.9001488 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 D. M. Binding 5 K. Walters 6 Michael Webster 0000-0002-7722-821X 7 Hamid Tamaddon Jahromi 8 0037026-23112017105514.pdf lopez-aguilar2017.pdf 2017-11-23T10:55:14.5770000 Output 3464358 application/pdf Accepted Manuscript true 2017-11-23T00:00:00.0000000 true eng
title On the use of continuous spectrum and discrete-mode differential models to predict contraction-flow pressure drops for Boger fluids
spellingShingle On the use of continuous spectrum and discrete-mode differential models to predict contraction-flow pressure drops for Boger fluids
Michael Webster
Hamid Tamaddon Jahromi
title_short On the use of continuous spectrum and discrete-mode differential models to predict contraction-flow pressure drops for Boger fluids
title_full On the use of continuous spectrum and discrete-mode differential models to predict contraction-flow pressure drops for Boger fluids
title_fullStr On the use of continuous spectrum and discrete-mode differential models to predict contraction-flow pressure drops for Boger fluids
title_full_unstemmed On the use of continuous spectrum and discrete-mode differential models to predict contraction-flow pressure drops for Boger fluids
title_sort On the use of continuous spectrum and discrete-mode differential models to predict contraction-flow pressure drops for 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
M. F. Webster
H. R. Tamaddon-Jahromi
O. Manero
D. M. Binding
K. Walters
Michael Webster
Hamid Tamaddon Jahromi
format Journal article
container_title Physics of Fluids
container_volume 29
container_issue 12
container_start_page 121613
publishDate 2017
institution Swansea University
issn 1070-6631
1089-7666
doi_str_mv 10.1063/1.4991872
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 Over recent years, there has been slow but steady progress towards the qualitative numerical prediction of observed behaviour when highly elastic Boger fluids flow in contraction geometries. This has led to an obvious desire to seek quantitative agreement between prediction and experiment, a subject which is addressed in the current paper. We conclude that constitutive models of non-trivial complexity are required to make headway in this regard. However, we suggest that the desire to move from qualitative to quantitative agreement between theory and experiment is making real progress. In the present case with differential models, this has involved the introduction of a generalized continuous spectrum model. This is based on direct data input from material functions and rheometrical measurements. The class of such models assumes functional separability across shear and extensional deformation, through two master functions, governing independently material-time and viscous-response. The consequences of such a continuous spectrum representation are compared and contrasted against discrete-mode alternatives, via an averaged single-mode approximation and a multi-modal approximation. The effectiveness of each chosen form is gauged by the quality of match to complex flow response and experimental measurement. Here, this is interpreted in circular contraction-type flows with Boger fluids, where large experimental pressure-drop data are available and wide disparity between different fluid responses has been recorded in the past. Findings are then back-correlated to base-material response from ideal viscometric flow.
published_date 2017-12-01T13:23:10Z
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