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Pressure-drop and kinematics of viscoelastic flow through an axisymmetric contraction–expansion geometry with various contraction-ratios

M. Pérez-Camacho, J.E. López-Aguilar, F. Calderas, O. Manero, M.F. Webster, Michael Webster Orcid Logo

Journal of Non-Newtonian Fluid Mechanics, Volume: 222, Pages: 260 - 271

Swansea University Author: Michael Webster Orcid Logo

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DOI (Published version): 10.1016/j.jnnfm.2015.01.013

Abstract

One of the relevant benchmark problems in pressure-driven flows, that of flow through an axisymmetric expansion-contraction geometry, is addressed in this study. Three fluids have been considered: a Newtonian, Boger and a shear-thinning polymer solution. Particular attention is given to the pressure...

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Published in: Journal of Non-Newtonian Fluid Mechanics
Published: 2015
URI: https://cronfa.swan.ac.uk/Record/cronfa24187
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spelling 2016-04-29T16:14:42.7058703 v2 24187 2015-11-08 Pressure-drop and kinematics of viscoelastic flow through an axisymmetric contraction–expansion geometry with various contraction-ratios b6a811513b34d56e66489512fc2c6c61 0000-0002-7722-821X Michael Webster Michael Webster true false 2015-11-08 EEN One of the relevant benchmark problems in pressure-driven flows, that of flow through an axisymmetric expansion-contraction geometry, is addressed in this study. Three fluids have been considered: a Newtonian, Boger and a shear-thinning polymer solution. Particular attention is given to the pressure-drop and kinematics obtained in a flow apparatus specifically designed for various contraction-ratios (2:1:2, 4:1:4, 6:1:6, 8:1:8, 10:1:10). Both viscoelastic fluids present large magnitudes of normal stress under simple shear flow. The three fluids have the same viscosity at low shear-rates. The Boger fluid (polyacrylamide in a syrup-water solution) possesses a constant viscosity over a wide range of shear-rates. The shear-thinning fluid also has a wide range of first Newtonian plateau before the onset of shear-thinning. Findings for the Boger fluid reflect, initially, a decreasing pressure-drop below the Newtonian reference line (excess pressure-drop lower than unity), followed by values larger than one as the contraction-ratio increases. This can be explained on the basis of the extensional viscosity behaviour in the contraction section of the geometry. The shear-thinning polymer solution (HASE-type associative polymer) shows a reduction in epd below the Newtonian curve for small contraction-ratios (due to shear-thinning). However, in more abrupt contractions, the extensional flow behaviour dominates the shear-thinning effects: first attaining Newtonian behaviour (producing an epd of one), and then, showing values larger than unity as the contraction-ratio becomes more severe. Kinematic fields illustrated by flow visualization reveal several different sizes of the corner-vortex, which are related to the relative contributions from the first normal stress difference (N1) and extensional stress throughout the geometry. Transitions from lip-to-corner vortex are related to the transition from shear-dominated to extension-dominated flows. Experimental data, for the Boger fluid on 4:1:4 contraction-ratio, are contrasted against numerical simulation results for a constant-shear-viscosity/extension-hardening FENE-CR model. Trends demonstrate qualitative agreement on epd and vortex activity, which also reveal an interesting interplay between N1 and extensional viscosity. Journal Article Journal of Non-Newtonian Fluid Mechanics 222 260 271 Pressure drop Flow kinematics Contraction–expansion Viscoelastic fluids 31 1 2015 2015-01-31 10.1016/j.jnnfm.2015.01.013 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2016-04-29T16:14:42.7058703 2015-11-08T18:27:24.7830463 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised M. Pérez-Camacho 1 J.E. López-Aguilar 2 F. Calderas 3 O. Manero 4 M.F. Webster 5 Michael Webster 0000-0002-7722-821X 6
title Pressure-drop and kinematics of viscoelastic flow through an axisymmetric contraction–expansion geometry with various contraction-ratios
spellingShingle Pressure-drop and kinematics of viscoelastic flow through an axisymmetric contraction–expansion geometry with various contraction-ratios
Michael Webster
title_short Pressure-drop and kinematics of viscoelastic flow through an axisymmetric contraction–expansion geometry with various contraction-ratios
title_full Pressure-drop and kinematics of viscoelastic flow through an axisymmetric contraction–expansion geometry with various contraction-ratios
title_fullStr Pressure-drop and kinematics of viscoelastic flow through an axisymmetric contraction–expansion geometry with various contraction-ratios
title_full_unstemmed Pressure-drop and kinematics of viscoelastic flow through an axisymmetric contraction–expansion geometry with various contraction-ratios
title_sort Pressure-drop and kinematics of viscoelastic flow through an axisymmetric contraction–expansion geometry with various contraction-ratios
author_id_str_mv b6a811513b34d56e66489512fc2c6c61
author_id_fullname_str_mv b6a811513b34d56e66489512fc2c6c61_***_Michael Webster
author Michael Webster
author2 M. Pérez-Camacho
J.E. López-Aguilar
F. Calderas
O. Manero
M.F. Webster
Michael Webster
format Journal article
container_title Journal of Non-Newtonian Fluid Mechanics
container_volume 222
container_start_page 260
publishDate 2015
institution Swansea University
doi_str_mv 10.1016/j.jnnfm.2015.01.013
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
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 0
active_str 0
description One of the relevant benchmark problems in pressure-driven flows, that of flow through an axisymmetric expansion-contraction geometry, is addressed in this study. Three fluids have been considered: a Newtonian, Boger and a shear-thinning polymer solution. Particular attention is given to the pressure-drop and kinematics obtained in a flow apparatus specifically designed for various contraction-ratios (2:1:2, 4:1:4, 6:1:6, 8:1:8, 10:1:10). Both viscoelastic fluids present large magnitudes of normal stress under simple shear flow. The three fluids have the same viscosity at low shear-rates. The Boger fluid (polyacrylamide in a syrup-water solution) possesses a constant viscosity over a wide range of shear-rates. The shear-thinning fluid also has a wide range of first Newtonian plateau before the onset of shear-thinning. Findings for the Boger fluid reflect, initially, a decreasing pressure-drop below the Newtonian reference line (excess pressure-drop lower than unity), followed by values larger than one as the contraction-ratio increases. This can be explained on the basis of the extensional viscosity behaviour in the contraction section of the geometry. The shear-thinning polymer solution (HASE-type associative polymer) shows a reduction in epd below the Newtonian curve for small contraction-ratios (due to shear-thinning). However, in more abrupt contractions, the extensional flow behaviour dominates the shear-thinning effects: first attaining Newtonian behaviour (producing an epd of one), and then, showing values larger than unity as the contraction-ratio becomes more severe. Kinematic fields illustrated by flow visualization reveal several different sizes of the corner-vortex, which are related to the relative contributions from the first normal stress difference (N1) and extensional stress throughout the geometry. Transitions from lip-to-corner vortex are related to the transition from shear-dominated to extension-dominated flows. Experimental data, for the Boger fluid on 4:1:4 contraction-ratio, are contrasted against numerical simulation results for a constant-shear-viscosity/extension-hardening FENE-CR model. Trends demonstrate qualitative agreement on epd and vortex activity, which also reveal an interesting interplay between N1 and extensional viscosity.
published_date 2015-01-31T03:28:38Z
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score 11.028798

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