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Hyperbolic contraction measuring systems for extensional flow

M. Nyström, H. R. Tamaddon Jahromi, M. Stading, M. F. Webster, Michael Webster Orcid Logo, Hamid Tamaddon-Jahromi

Mechanics of Time-Dependent Materials

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

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DOI (Published version): 10.1007/s11043-017-9337-0

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In this paper an experimental method for extensional measurements on medium viscosity fluids in contraction flow is evaluated through numerical simulations and experimental measurements. This measuring technique measures the pressure drop over a hyperbolic contraction, caused by fluid extension and...

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Published in: Mechanics of Time-Dependent Materials
ISSN: 1385-2000 1573-2738
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa31983
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This measuring technique measures the pressure drop over a hyperbolic contraction, caused by fluid extension and fluid shear, where the extensional component is assumed to dominate. The present evaluative work advances our previous studies on this experimental method by introducing several contraction ratios and addressing different constitutive models of varying shear and extensional response. The constitutive models included are those of the constant viscosity Oldroyd-B and FENE-CR models, and the shear-thinning LPTT model. Examining the results, the impact of shear and first normal stress difference on the measured pressure drop are studied through numerical pressure drop predictions. In addition, stream function patterns are investigated to detect vortex development and influence of contraction ratio. The numerical predictions are further related to experimental measurements for the flow through a 15:1 contraction ratio with three different test fluids. The measured pressure drops are observed to exhibit the same trends as predicted in the numerical simulations, offering close correlation and tight predictive windows for experimental data capture. This result has demonstrated that the hyperbolic contraction flow is well able to detect such elastic fluid properties and that this is matched by numerical predictions in evaluation of their flow response. The hyperbolical contraction flow technique is commended for its distinct benefits: it is straightforward and simple to perform, the Hencky strain can be set by changing contraction ratio, non-homogeneous fluids can be tested, and one can directly determine the degree of elastic fluid behaviour. Based on matching of viscometric extensional viscosity response for FENE-CR and LPTT models, a decline is predicted in pressure drop for the shear-thinning LPTT model. This would indicate a modest impact of shear in the flow since such a pressure drop decline is relatively small. It is particularly noteworthy that the increase in pressure drop gathered from the experimental measurements is relatively high despite the low Deborah number range explored.</abstract><type>Journal Article</type><journal>Mechanics of Time-Dependent Materials</journal><publisher/><issnPrint>1385-2000</issnPrint><issnElectronic>1573-2738</issnElectronic><keywords>Hyperbolic contraction, Pressure-drop, Viscoelastic fluid, Boger fluid, Extensional flow, Axisymmetric contraction&#x2013;expansion</keywords><publishedDay>31</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2017</publishedYear><publishedDate>2017-12-31</publishedDate><doi>10.1007/s11043-017-9337-0</doi><url/><notes/><college>COLLEGE NANME</college><department>Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>EEN</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2017-02-15T13:49:45.3874671</lastEdited><Created>2017-02-15T09:11:50.1326179</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>M.</firstname><surname>Nystr&#xF6;m</surname><order>1</order></author><author><firstname>H. R.</firstname><surname>Tamaddon Jahromi</surname><order>2</order></author><author><firstname>M.</firstname><surname>Stading</surname><order>3</order></author><author><firstname>M. F.</firstname><surname>Webster</surname><order>4</order></author><author><firstname>Michael</firstname><surname>Webster</surname><orcid>0000-0002-7722-821X</orcid><order>5</order></author><author><firstname>Hamid</firstname><surname>Tamaddon-Jahromi</surname><order>6</order></author></authors><documents><document><filename>0031983-15022017134912.pdf</filename><originalFilename>Nystr&#xF6;m2017.pdf</originalFilename><uploaded>2017-02-15T13:49:12.2200000</uploaded><type>Output</type><contentLength>2575351</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><embargoDate>2018-02-02T00:00:00.0000000</embargoDate><copyrightCorrect>false</copyrightCorrect><language>eng</language></document></documents><OutputDurs/></rfc1807>
spelling 2017-02-15T13:49:45.3874671 v2 31983 2017-02-15 Hyperbolic contraction measuring systems for extensional flow b6a811513b34d56e66489512fc2c6c61 0000-0002-7722-821X Michael Webster Michael Webster true false b3a1417ca93758b719acf764c7ced1c5 Hamid Tamaddon-Jahromi Hamid Tamaddon-Jahromi true false 2017-02-15 EEN In this paper an experimental method for extensional measurements on medium viscosity fluids in contraction flow is evaluated through numerical simulations and experimental measurements. This measuring technique measures the pressure drop over a hyperbolic contraction, caused by fluid extension and fluid shear, where the extensional component is assumed to dominate. The present evaluative work advances our previous studies on this experimental method by introducing several contraction ratios and addressing different constitutive models of varying shear and extensional response. The constitutive models included are those of the constant viscosity Oldroyd-B and FENE-CR models, and the shear-thinning LPTT model. Examining the results, the impact of shear and first normal stress difference on the measured pressure drop are studied through numerical pressure drop predictions. In addition, stream function patterns are investigated to detect vortex development and influence of contraction ratio. The numerical predictions are further related to experimental measurements for the flow through a 15:1 contraction ratio with three different test fluids. The measured pressure drops are observed to exhibit the same trends as predicted in the numerical simulations, offering close correlation and tight predictive windows for experimental data capture. This result has demonstrated that the hyperbolic contraction flow is well able to detect such elastic fluid properties and that this is matched by numerical predictions in evaluation of their flow response. The hyperbolical contraction flow technique is commended for its distinct benefits: it is straightforward and simple to perform, the Hencky strain can be set by changing contraction ratio, non-homogeneous fluids can be tested, and one can directly determine the degree of elastic fluid behaviour. Based on matching of viscometric extensional viscosity response for FENE-CR and LPTT models, a decline is predicted in pressure drop for the shear-thinning LPTT model. This would indicate a modest impact of shear in the flow since such a pressure drop decline is relatively small. It is particularly noteworthy that the increase in pressure drop gathered from the experimental measurements is relatively high despite the low Deborah number range explored. Journal Article Mechanics of Time-Dependent Materials 1385-2000 1573-2738 Hyperbolic contraction, Pressure-drop, Viscoelastic fluid, Boger fluid, Extensional flow, Axisymmetric contraction–expansion 31 12 2017 2017-12-31 10.1007/s11043-017-9337-0 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2017-02-15T13:49:45.3874671 2017-02-15T09:11:50.1326179 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised M. Nyström 1 H. R. Tamaddon Jahromi 2 M. Stading 3 M. F. Webster 4 Michael Webster 0000-0002-7722-821X 5 Hamid Tamaddon-Jahromi 6 0031983-15022017134912.pdf Nyström2017.pdf 2017-02-15T13:49:12.2200000 Output 2575351 application/pdf Accepted Manuscript true 2018-02-02T00:00:00.0000000 false eng
title Hyperbolic contraction measuring systems for extensional flow
spellingShingle Hyperbolic contraction measuring systems for extensional flow
Michael Webster
Hamid Tamaddon-Jahromi
title_short Hyperbolic contraction measuring systems for extensional flow
title_full Hyperbolic contraction measuring systems for extensional flow
title_fullStr Hyperbolic contraction measuring systems for extensional flow
title_full_unstemmed Hyperbolic contraction measuring systems for extensional flow
title_sort Hyperbolic contraction measuring systems for extensional flow
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 M. Nyström
H. R. Tamaddon Jahromi
M. Stading
M. F. Webster
Michael Webster
Hamid Tamaddon-Jahromi
format Journal article
container_title Mechanics of Time-Dependent Materials
publishDate 2017
institution Swansea University
issn 1385-2000
1573-2738
doi_str_mv 10.1007/s11043-017-9337-0
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 paper an experimental method for extensional measurements on medium viscosity fluids in contraction flow is evaluated through numerical simulations and experimental measurements. This measuring technique measures the pressure drop over a hyperbolic contraction, caused by fluid extension and fluid shear, where the extensional component is assumed to dominate. The present evaluative work advances our previous studies on this experimental method by introducing several contraction ratios and addressing different constitutive models of varying shear and extensional response. The constitutive models included are those of the constant viscosity Oldroyd-B and FENE-CR models, and the shear-thinning LPTT model. Examining the results, the impact of shear and first normal stress difference on the measured pressure drop are studied through numerical pressure drop predictions. In addition, stream function patterns are investigated to detect vortex development and influence of contraction ratio. The numerical predictions are further related to experimental measurements for the flow through a 15:1 contraction ratio with three different test fluids. The measured pressure drops are observed to exhibit the same trends as predicted in the numerical simulations, offering close correlation and tight predictive windows for experimental data capture. This result has demonstrated that the hyperbolic contraction flow is well able to detect such elastic fluid properties and that this is matched by numerical predictions in evaluation of their flow response. The hyperbolical contraction flow technique is commended for its distinct benefits: it is straightforward and simple to perform, the Hencky strain can be set by changing contraction ratio, non-homogeneous fluids can be tested, and one can directly determine the degree of elastic fluid behaviour. Based on matching of viscometric extensional viscosity response for FENE-CR and LPTT models, a decline is predicted in pressure drop for the shear-thinning LPTT model. This would indicate a modest impact of shear in the flow since such a pressure drop decline is relatively small. It is particularly noteworthy that the increase in pressure drop gathered from the experimental measurements is relatively high despite the low Deborah number range explored.
published_date 2017-12-31T03:39:06Z
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