Journal article 742 views
Shear-thinning and constant viscosity predictions for rotating sphere flows
Mechanics of Time-Dependent Materials, Volume: 20, Pages: 95 - 122
Swansea University Authors: Hamid Tamaddon Jahromi, Michael Webster
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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...
Published in: | Mechanics of Time-Dependent Materials |
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2015
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URI: | https://cronfa.swan.ac.uk/Record/cronfa24188 |
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2018-02-09T05:03:41Z |
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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 ACEM 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 Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM 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 |
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Mechanics of Time-Dependent Materials |
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10.1007/s11043-015-9286-4 |
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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 |
2015-09-30T00:58:45Z |
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1821455705897435136 |
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11.064692 |