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Shear-thinning and constant viscosity predictions for rotating sphere flows

Isaías E. Garduño, Hamid Tamaddon-Jahromi, Michael Webster Orcid Logo

Mechanics of Time-Dependent Materials, Volume: 20, Pages: 95 - 122

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

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DOI (Published version): 10.1007/s11043-015-9286-4

Abstract

The steady motion of a rotating sphere is analysed through two contrasting viscoelastic models, a constant viscosity (FENE-CR) model and a shear-thinning (LPTT) model. Giesekus (1970) presented an intriguing rotating viscoelastic flow, which to date has not been completely explained. In order to inv...

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Published in: Mechanics of Time-Dependent Materials
Published: 2015
URI: https://cronfa.swan.ac.uk/Record/cronfa24188
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first_indexed 2015-11-09T11:28:11Z
last_indexed 2018-02-09T05:03:41Z
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spelling 2016-04-29T16:23:26.2396939 v2 24188 2015-11-08 Shear-thinning and constant viscosity predictions for rotating sphere flows b3a1417ca93758b719acf764c7ced1c5 Hamid Tamaddon-Jahromi Hamid Tamaddon-Jahromi true false b6a811513b34d56e66489512fc2c6c61 0000-0002-7722-821X Michael Webster Michael Webster true false 2015-11-08 CIVL The steady motion of a rotating sphere is analysed through two contrasting viscoelastic models, a constant viscosity (FENE-CR) model and a shear-thinning (LPTT) model. Giesekus (1970) presented an intriguing rotating viscoelastic flow, which to date has not been completely explained. In order to investigate this flow, sets of parameters have been explored to analyse the significant differences introduced with the proposed models, while the momentum-continuity-stress equations are solved through a hybrid finite-element/finite volume numerical scheme. Solutions are discussed for first, sphere angular velocity increase ( ), and second, through material velocity-scale increase ( ). Numerical predictions for different solvent-ratios ( ) show significant differences as sphere angular velocity increases. It is demonstrated that an emerging equatorial anticlockwise vortex emerges in a specific range of . As such, this solution matches closely with the Giesekus experimental findings. Additionally, inside the emerging inertial vortex, a contrasting positive N2-region is found compared against the negative N2-enveloping layer. Journal Article Mechanics of Time-Dependent Materials 20 95 122 Rotating sphere, Secondary flow field, FENE-CR model, LPTT model 30 9 2015 2015-09-30 10.1007/s11043-015-9286-4 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2016-04-29T16:23:26.2396939 2015-11-08T18:38:49.2842341 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Isaías E. Garduño 1 Hamid Tamaddon-Jahromi 2 Michael Webster 0000-0002-7722-821X 3
title Shear-thinning and constant viscosity predictions for rotating sphere flows
spellingShingle Shear-thinning and constant viscosity predictions for rotating sphere flows
Hamid Tamaddon-Jahromi
Michael Webster
title_short Shear-thinning and constant viscosity predictions for rotating sphere flows
title_full Shear-thinning and constant viscosity predictions for rotating sphere flows
title_fullStr Shear-thinning and constant viscosity predictions for rotating sphere flows
title_full_unstemmed Shear-thinning and constant viscosity predictions for rotating sphere flows
title_sort Shear-thinning and constant viscosity predictions for rotating sphere flows
author_id_str_mv b3a1417ca93758b719acf764c7ced1c5
b6a811513b34d56e66489512fc2c6c61
author_id_fullname_str_mv b3a1417ca93758b719acf764c7ced1c5_***_Hamid Tamaddon-Jahromi
b6a811513b34d56e66489512fc2c6c61_***_Michael Webster
author Hamid Tamaddon-Jahromi
Michael Webster
author2 Isaías E. Garduño
Hamid Tamaddon-Jahromi
Michael Webster
format Journal article
container_title Mechanics of Time-Dependent Materials
container_volume 20
container_start_page 95
publishDate 2015
institution Swansea University
doi_str_mv 10.1007/s11043-015-9286-4
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 The steady motion of a rotating sphere is analysed through two contrasting viscoelastic models, a constant viscosity (FENE-CR) model and a shear-thinning (LPTT) model. Giesekus (1970) presented an intriguing rotating viscoelastic flow, which to date has not been completely explained. In order to investigate this flow, sets of parameters have been explored to analyse the significant differences introduced with the proposed models, while the momentum-continuity-stress equations are solved through a hybrid finite-element/finite volume numerical scheme. Solutions are discussed for first, sphere angular velocity increase ( ), and second, through material velocity-scale increase ( ). Numerical predictions for different solvent-ratios ( ) show significant differences as sphere angular velocity increases. It is demonstrated that an emerging equatorial anticlockwise vortex emerges in a specific range of . As such, this solution matches closely with the Giesekus experimental findings. Additionally, inside the emerging inertial vortex, a contrasting positive N2-region is found compared against the negative N2-enveloping layer.
published_date 2015-09-30T03:28:38Z
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score 11.012678

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