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The falling sphere problem and capturing enhanced drag with Boger fluids

I.E. Garduño, H.R. Tamaddon-Jahromi, M.F. Webster, Michael Webster Orcid Logo, Hamid Tamaddon-Jahromi

Journal of Non-Newtonian Fluid Mechanics, Volume: 231, Pages: 26 - 48

Swansea University Authors: Michael Webster Orcid Logo, 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...

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Published in: Journal of Non-Newtonian Fluid Mechanics
ISSN: 0377-0257
Published: 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa26749
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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.</abstract><type>Journal Article</type><journal>Journal of Non-Newtonian Fluid Mechanics</journal><volume>231</volume><paginationStart>26</paginationStart><paginationEnd>48</paginationEnd><publisher/><issnPrint>0377-0257</issnPrint><keywords>Viscoelastic fluid; FENE-CR; Extensional White-Metzner model (swanINNFM); Flow past a sphere; Drag coefficient</keywords><publishedDay>31</publishedDay><publishedMonth>5</publishedMonth><publishedYear>2016</publishedYear><publishedDate>2016-05-31</publishedDate><doi>10.1016/j.jnnfm.2016.02.009</doi><url/><notes/><college>COLLEGE NANME</college><department>Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>EEN</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2017-11-23T11:27:08.3456456</lastEdited><Created>2016-03-14T16:51:02.0188170</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Engineering and Applied Sciences - Uncategorised</level></path><authors><author><firstname>I.E.</firstname><surname>Gardu&#xF1;o</surname><order>1</order></author><author><firstname>H.R.</firstname><surname>Tamaddon-Jahromi</surname><order>2</order></author><author><firstname>M.F.</firstname><surname>Webster</surname><order>3</order></author><author><firstname>Michael</firstname><surname>Webster</surname><orcid>0000-0002-7722-821X</orcid><order>4</order></author><author><firstname>Hamid</firstname><surname>Tamaddon-Jahromi</surname><order>5</order></author></authors><documents><document><filename>0026749-14032016165153.pdf</filename><originalFilename>GardunoFallingSphereProblem2016AM.pdf</originalFilename><uploaded>2016-03-14T16:51:53.4370000</uploaded><type>Output</type><contentLength>2825756</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><embargoDate>2017-03-02T00:00:00.0000000</embargoDate><copyrightCorrect>true</copyrightCorrect></document></documents><OutputDurs/></rfc1807>
spelling 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
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 I.E. Garduño
H.R. Tamaddon-Jahromi
M.F. Webster
Michael Webster
Hamid Tamaddon-Jahromi
format Journal article
container_title Journal of Non-Newtonian Fluid Mechanics
container_volume 231
container_start_page 26
publishDate 2016
institution Swansea University
issn 0377-0257
doi_str_mv 10.1016/j.jnnfm.2016.02.009
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
document_store_str 1
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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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score 11.012678

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