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Enhanced pressure drop, planar contraction flows and continuous spectrum models

Michael Webster Orcid Logo, Hamid Tamaddon Jahromi, J.E. López-Aguilar, D.M. Binding

Journal of Non-Newtonian Fluid Mechanics, Volume: 273, Start page: 104184

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

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DOI (Published version): 10.1016/j.jnnfm.2019.104184

Abstract

This study addresses a rheological problem that has been outstanding now for the past few decades, raised by the experimental findings of Binding and Walters [1]. There, it was established experimentally that planar contraction flows for some Boger fluids could display enhanced pressure-drops above...

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Published in: Journal of Non-Newtonian Fluid Mechanics
ISSN: 0377-0257
Published: Elsevier BV 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa52480
first_indexed 2019-10-17T14:22:41Z
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spelling 2020-07-21T12:47:09.7508645 v2 52480 2019-10-17 Enhanced pressure drop, planar contraction flows and continuous spectrum models b6a811513b34d56e66489512fc2c6c61 0000-0002-7722-821X Michael Webster Michael Webster true false b3a1417ca93758b719acf764c7ced1c5 Hamid Tamaddon Jahromi Hamid Tamaddon Jahromi true false 2019-10-17 This study addresses a rheological problem that has been outstanding now for the past few decades, raised by the experimental findings of Binding and Walters [1]. There, it was established experimentally that planar contraction flows for some Boger fluids could display enhanced pressure-drops above Newtonian flows, as was the case for their tubular counterparts. Nevertheless, flow-structures to achieve this result were reported to be markedly different, planar to circular. In this article, it is shown how predictive differential-viscoelastic solutions with continuum models can replicate these observations. Key to this success has been the derivation of a new definition for the third-invariant of the rate-of-deformation tensor in planar flows, mimicking that of the circular case [2], [3]. This provides a mechanism to successfully incorporate dissipation within planar flows, as performed earlier for tubular flows. Still, to reach the necessary large deformation-rates to achieve planar enhanced pressure-drops, and whilst maintaining steady flow-conditions, it has been found crucial to invoke a continuous-spectrum relaxation-time model [3]. The rheological power and flexibility of such a model is clearly demonstrated, over its counterpart Maxwellian single-averaged relaxation-time approximation; the latter transcending the boundaries of steady-to-unsteady flow to manifest equivalent levels of enhanced pressure-drops. Then, the role of extensional viscosity and first normal-stress difference, each play their part to achieve such planar enhanced pressure-drops. As a by-product, the distinctive planar ‘bulb-flow’ structures discovered by Binding and Walters [1], absent in tubular flows, are also predicted under the associated regime of high deformation-rates where enhanced pressure-drop arise. Journal Article Journal of Non-Newtonian Fluid Mechanics 273 104184 Elsevier BV 0377-0257 Boger fluids, Planar contraction flow, Pressure-drop enhancement, SwAM model 30 11 2019 2019-11-30 10.1016/j.jnnfm.2019.104184 COLLEGE NANME COLLEGE CODE Swansea University 2020-07-21T12:47:09.7508645 2019-10-17T10:27:52.7740372 Michael Webster 0000-0002-7722-821X 1 Hamid Tamaddon Jahromi 2 J.E. López-Aguilar 3 D.M. Binding 4 52480__15645__9ca0ae3e475b4d8b9a1db4d2bf0ace12.pdf webster2019.pdf 2019-10-17T10:29:59.9470000 Output 5873030 application/pdf Accepted Manuscript true 2020-10-11T00:00:00.0000000 © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title Enhanced pressure drop, planar contraction flows and continuous spectrum models
spellingShingle Enhanced pressure drop, planar contraction flows and continuous spectrum models
Michael Webster
Hamid Tamaddon Jahromi
title_short Enhanced pressure drop, planar contraction flows and continuous spectrum models
title_full Enhanced pressure drop, planar contraction flows and continuous spectrum models
title_fullStr Enhanced pressure drop, planar contraction flows and continuous spectrum models
title_full_unstemmed Enhanced pressure drop, planar contraction flows and continuous spectrum models
title_sort Enhanced pressure drop, planar contraction flows and continuous spectrum models
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 Michael Webster
Hamid Tamaddon Jahromi
J.E. López-Aguilar
D.M. Binding
format Journal article
container_title Journal of Non-Newtonian Fluid Mechanics
container_volume 273
container_start_page 104184
publishDate 2019
institution Swansea University
issn 0377-0257
doi_str_mv 10.1016/j.jnnfm.2019.104184
publisher Elsevier BV
document_store_str 1
active_str 0
description This study addresses a rheological problem that has been outstanding now for the past few decades, raised by the experimental findings of Binding and Walters [1]. There, it was established experimentally that planar contraction flows for some Boger fluids could display enhanced pressure-drops above Newtonian flows, as was the case for their tubular counterparts. Nevertheless, flow-structures to achieve this result were reported to be markedly different, planar to circular. In this article, it is shown how predictive differential-viscoelastic solutions with continuum models can replicate these observations. Key to this success has been the derivation of a new definition for the third-invariant of the rate-of-deformation tensor in planar flows, mimicking that of the circular case [2], [3]. This provides a mechanism to successfully incorporate dissipation within planar flows, as performed earlier for tubular flows. Still, to reach the necessary large deformation-rates to achieve planar enhanced pressure-drops, and whilst maintaining steady flow-conditions, it has been found crucial to invoke a continuous-spectrum relaxation-time model [3]. The rheological power and flexibility of such a model is clearly demonstrated, over its counterpart Maxwellian single-averaged relaxation-time approximation; the latter transcending the boundaries of steady-to-unsteady flow to manifest equivalent levels of enhanced pressure-drops. Then, the role of extensional viscosity and first normal-stress difference, each play their part to achieve such planar enhanced pressure-drops. As a by-product, the distinctive planar ‘bulb-flow’ structures discovered by Binding and Walters [1], absent in tubular flows, are also predicted under the associated regime of high deformation-rates where enhanced pressure-drop arise.
published_date 2019-11-30T13:56:20Z
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score 11.048107

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