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The falling sphere problem and capturing enhanced drag with Boger fluids
Journal of Non-Newtonian Fluid Mechanics, Volume: 231, Pages: 26 - 48
Swansea University Authors: Michael Webster , Hamid Tamaddon-Jahromi
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DOI (Published version): 10.1016/j.jnnfm.2016.02.009
Abstract
In this computational study, the ability of an extensional White–Metzner construction with the FENE-CR model is considered to reflect experimental enhanced drag data of Jones et al. [1]. The numerical drag predictions for three different aspect ratios of sphere:tube radii {0.5, 0.4, 0.2} are obtaine...
Published in: | Journal of Non-Newtonian Fluid Mechanics |
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ISSN: | 0377-0257 |
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2016
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URI: | https://cronfa.swan.ac.uk/Record/cronfa26749 |
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2017-11-23T11:27:08.3456456 v2 26749 2016-03-14 The falling sphere problem and capturing enhanced drag with Boger fluids b6a811513b34d56e66489512fc2c6c61 0000-0002-7722-821X Michael Webster Michael Webster true false b3a1417ca93758b719acf764c7ced1c5 Hamid Tamaddon-Jahromi Hamid Tamaddon-Jahromi true false 2016-03-14 EEN In this computational study, the ability of an extensional White–Metzner construction with the FENE-CR model is considered to reflect experimental enhanced drag data of Jones et al. [1]. The numerical drag predictions for three different aspect ratios of sphere:tube radii {0.5, 0.4, 0.2} are obtained with a hybrid finite element/volume (fe/fv) algorithm. Excellent agreement is extracted for all three aspect ratios against the experimental measurements, and at any specified rate, the tighter-fitting the aspect ratio the lower the resulting drag. Moreover, as the Weissenberg number is increased, the transition between steady-state and oscillatory flow is recognised from the instantaneous pressure data, prior to numerical divergence. A main realisation in this study is that it is important to select the same procedure of Wi-continuation across experimental and computational protocols, to extract comparable levels of drag. Clearly the -increase mode (common computational form), is more involved than the Q-increase mode (usual experimental form), and as such, less robust as a reliable method for accurate drag prediction and enhanced drag capture. In general, flow-rate increase (Q-increase) conditions generate larger drag enhancement, when compared to fluid-relaxation time increase ( -increase), at comparable levels of dissipative-factor ( ). The investigation also follows parametric variation in solvent fraction ( ) in one particular geometric aspect-ratio instance. This reveals that at any specific fixed elasticity level, there is an increase in drag observed with rise in . In addition, high solute/low-solvent fractions at low dissipative-factor, were only found to generate drag reduction, consistent with the literature. New and key facets to this fe/fv implementation are summarised, in appealing to: an improved velocity gradient boundary conditions imposed at the centreline (VGR-correction); continuity correction; absolute value of the stress-trace function (ABS-f-correction); increasing flow-rate solution continuation; alongside advanced techniques in fv-time discretisation, discrete treatment of pressure terms, and compatible stress/velocity-gradient representation. Journal Article Journal of Non-Newtonian Fluid Mechanics 231 26 48 0377-0257 Viscoelastic fluid; FENE-CR; Extensional White-Metzner model (swanINNFM); Flow past a sphere; Drag coefficient 31 5 2016 2016-05-31 10.1016/j.jnnfm.2016.02.009 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2017-11-23T11:27:08.3456456 2016-03-14T16:51:02.0188170 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised I.E. Garduño 1 H.R. Tamaddon-Jahromi 2 M.F. Webster 3 Michael Webster 0000-0002-7722-821X 4 Hamid Tamaddon-Jahromi 5 0026749-14032016165153.pdf GardunoFallingSphereProblem2016AM.pdf 2016-03-14T16:51:53.4370000 Output 2825756 application/pdf Accepted Manuscript true 2017-03-02T00:00:00.0000000 true |
title |
The falling sphere problem and capturing enhanced drag with Boger fluids |
spellingShingle |
The falling sphere problem and capturing enhanced drag with Boger fluids Michael Webster Hamid Tamaddon-Jahromi |
title_short |
The falling sphere problem and capturing enhanced drag with Boger fluids |
title_full |
The falling sphere problem and capturing enhanced drag with Boger fluids |
title_fullStr |
The falling sphere problem and capturing enhanced drag with Boger fluids |
title_full_unstemmed |
The falling sphere problem and capturing enhanced drag with Boger fluids |
title_sort |
The falling sphere problem and capturing enhanced drag with Boger fluids |
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b6a811513b34d56e66489512fc2c6c61 b3a1417ca93758b719acf764c7ced1c5 |
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b6a811513b34d56e66489512fc2c6c61_***_Michael Webster b3a1417ca93758b719acf764c7ced1c5_***_Hamid Tamaddon-Jahromi |
author |
Michael Webster Hamid Tamaddon-Jahromi |
author2 |
I.E. Garduño H.R. Tamaddon-Jahromi M.F. Webster Michael Webster Hamid Tamaddon-Jahromi |
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Journal of Non-Newtonian Fluid Mechanics |
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10.1016/j.jnnfm.2016.02.009 |
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Faculty of Science and Engineering |
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description |
In this computational study, the ability of an extensional White–Metzner construction with the FENE-CR model is considered to reflect experimental enhanced drag data of Jones et al. [1]. The numerical drag predictions for three different aspect ratios of sphere:tube radii {0.5, 0.4, 0.2} are obtained with a hybrid finite element/volume (fe/fv) algorithm. Excellent agreement is extracted for all three aspect ratios against the experimental measurements, and at any specified rate, the tighter-fitting the aspect ratio the lower the resulting drag. Moreover, as the Weissenberg number is increased, the transition between steady-state and oscillatory flow is recognised from the instantaneous pressure data, prior to numerical divergence. A main realisation in this study is that it is important to select the same procedure of Wi-continuation across experimental and computational protocols, to extract comparable levels of drag. Clearly the -increase mode (common computational form), is more involved than the Q-increase mode (usual experimental form), and as such, less robust as a reliable method for accurate drag prediction and enhanced drag capture. In general, flow-rate increase (Q-increase) conditions generate larger drag enhancement, when compared to fluid-relaxation time increase ( -increase), at comparable levels of dissipative-factor ( ). The investigation also follows parametric variation in solvent fraction ( ) in one particular geometric aspect-ratio instance. This reveals that at any specific fixed elasticity level, there is an increase in drag observed with rise in . In addition, high solute/low-solvent fractions at low dissipative-factor, were only found to generate drag reduction, consistent with the literature. New and key facets to this fe/fv implementation are summarised, in appealing to: an improved velocity gradient boundary conditions imposed at the centreline (VGR-correction); continuity correction; absolute value of the stress-trace function (ABS-f-correction); increasing flow-rate solution continuation; alongside advanced techniques in fv-time discretisation, discrete treatment of pressure terms, and compatible stress/velocity-gradient representation. |
published_date |
2016-05-31T03:32:11Z |
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1763751317479620608 |
score |
11.035655 |