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Planar channel flow of a discontinuous shear-thickening model fluid: Theory and simulation

A. Vázquez-Quesada, N. J. Wagner, M. Ellero, Marco Ellero, Adolfo Vazquez-Quesada

Physics of Fluids, Volume: 29, Issue: 10, Start page: 103104

Swansea University Authors: Marco Ellero, Adolfo Vazquez-Quesada

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DOI (Published version): 10.1063/1.4997053

Abstract

In this work, an analytical solution for the pressure-driven flow of a discontinuous shear-thickening (DST) fluid in a planar channel is presented. In order to model the fluid rheology, a regularized inverse-biviscous model is adopted. This involves a region of finite thickness to model the sharp ju...

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Published in: Physics of Fluids
ISSN: 1089-7666
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa36190
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first_indexed 2017-10-20T13:05:48Z
last_indexed 2020-06-03T18:49:05Z
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spelling 2020-06-03T13:18:43.7111148 v2 36190 2017-10-20 Planar channel flow of a discontinuous shear-thickening model fluid: Theory and simulation 84f2af0791d38bdbf826728de7e5c69d Marco Ellero Marco Ellero true false 14cfebea6166c6de4a9764b6e98e794c Adolfo Vazquez-Quesada Adolfo Vazquez-Quesada true false 2017-10-20 FGSEN In this work, an analytical solution for the pressure-driven flow of a discontinuous shear-thickening (DST) fluid in a planar channel is presented. In order to model the fluid rheology, a regularized inverse-biviscous model is adopted. This involves a region of finite thickness to model the sharp jump in viscosity, and it is consistent with momentum conservation. In the limit of vanishing thickness, the truly DST behavior is obtained. Analytical results are validated by numerical simulations under steady and start-up flow using the smoothed particle hydrodynamics method. Flow results are investigated and discussed for different values of the model parameters. Journal Article Physics of Fluids 29 10 103104 1089-7666 31 12 2017 2017-12-31 10.1063/1.4997053 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2020-06-03T13:18:43.7111148 2017-10-20T11:16:22.5417223 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised A. Vázquez-Quesada 1 N. J. Wagner 2 M. Ellero 3 Marco Ellero 4 Adolfo Vazquez-Quesada 5 0036190-20102017111723.pdf vazquez-quesada2017(3).pdf 2017-10-20T11:17:23.9600000 Output 6225562 application/pdf Accepted Manuscript true 2017-10-20T00:00:00.0000000 true eng
title Planar channel flow of a discontinuous shear-thickening model fluid: Theory and simulation
spellingShingle Planar channel flow of a discontinuous shear-thickening model fluid: Theory and simulation
Marco Ellero
Adolfo Vazquez-Quesada
title_short Planar channel flow of a discontinuous shear-thickening model fluid: Theory and simulation
title_full Planar channel flow of a discontinuous shear-thickening model fluid: Theory and simulation
title_fullStr Planar channel flow of a discontinuous shear-thickening model fluid: Theory and simulation
title_full_unstemmed Planar channel flow of a discontinuous shear-thickening model fluid: Theory and simulation
title_sort Planar channel flow of a discontinuous shear-thickening model fluid: Theory and simulation
author_id_str_mv 84f2af0791d38bdbf826728de7e5c69d
14cfebea6166c6de4a9764b6e98e794c
author_id_fullname_str_mv 84f2af0791d38bdbf826728de7e5c69d_***_Marco Ellero
14cfebea6166c6de4a9764b6e98e794c_***_Adolfo Vazquez-Quesada
author Marco Ellero
Adolfo Vazquez-Quesada
author2 A. Vázquez-Quesada
N. J. Wagner
M. Ellero
Marco Ellero
Adolfo Vazquez-Quesada
format Journal article
container_title Physics of Fluids
container_volume 29
container_issue 10
container_start_page 103104
publishDate 2017
institution Swansea University
issn 1089-7666
doi_str_mv 10.1063/1.4997053
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 1
active_str 0
description In this work, an analytical solution for the pressure-driven flow of a discontinuous shear-thickening (DST) fluid in a planar channel is presented. In order to model the fluid rheology, a regularized inverse-biviscous model is adopted. This involves a region of finite thickness to model the sharp jump in viscosity, and it is consistent with momentum conservation. In the limit of vanishing thickness, the truly DST behavior is obtained. Analytical results are validated by numerical simulations under steady and start-up flow using the smoothed particle hydrodynamics method. Flow results are investigated and discussed for different values of the model parameters.
published_date 2017-12-31T03:45:11Z
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score 11.013148

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