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Modeling step-strain filament-stretching (CaBER-type) using ALE techniques

K.S Sujatha, Hocine Matallah, M.J Banaai, M.F Webster, Michael Webster Orcid Logo, Su Nithiarasu

Journal of Non-Newtonian Fluid Mechanics, Volume: 148, Pages: 109 - 121

Swansea University Authors: Hocine Matallah, Michael Webster Orcid Logo, Su Nithiarasu

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DOI (Published version): 10.1016/j.jnnfm.2007.05.014

Abstract

This paper discusses the numerical modeling of capillary break-up extensional rheometer procedures (CaBER) using Arbitrary Lagrangian/Eulerian (ALE) methods. Different models, fluid viscosities and aspect-ratios are studied, employing a hybrid finite element/finite volume spatial approach. Finite el...

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Published in: Journal of Non-Newtonian Fluid Mechanics
Published: 2008
Online Access: http://dx.doi.org/10.1016/j.jnnfm.2007.05.014
URI: https://cronfa.swan.ac.uk/Record/cronfa12846
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spelling 2011-10-01T00:00:00.0000000 v2 12846 2012-09-26 Modeling step-strain filament-stretching (CaBER-type) using ALE techniques e602e946a79ef8ec015e79ad2acb14ed Hocine Matallah Hocine Matallah true false b6a811513b34d56e66489512fc2c6c61 0000-0002-7722-821X Michael Webster Michael Webster true false 8f6733726060128bc127c97eefbde9a5 Su Nithiarasu Su Nithiarasu true false 2012-09-26 AERO This paper discusses the numerical modeling of capillary break-up extensional rheometer procedures (CaBER) using Arbitrary Lagrangian/Eulerian (ALE) methods. Different models, fluid viscosities and aspect-ratios are studied, employing a hybrid finite element/finite volume spatial approach. Finite element discretisation is employed for the momentum and continuity equation, whilst a pure-upwinding cell-vertex finite volume representation is utilised for the hyperbolic stress equation. The results are validated against equivalent experimental results from the literature. By employing various constitutive models, viscoelastic response has been studied for some strain-hardening fluids. Two different polymeric to solvent viscosity ratios are studied covering both high and low solvent fractions. The relaxation time and the apparent extensional viscosity are calculated for both viscosity ratios, from the evolution of the mid-filament diameter. For these viscoelastic solutions, the extensional viscosity increases with strain, and this trend, and its range of values in apparent extensional viscosity values agree well with the literature. Also, estimated relaxation times are found to lie in close agreement with the actual relaxation time data used for the fluids in question. Journal Article Journal of Non-Newtonian Fluid Mechanics 148 109 121 CaBER; Filament-stretching; ALE; Step-strain; Surface tension 17 1 2008 2008-01-17 10.1016/j.jnnfm.2007.05.014 http://dx.doi.org/10.1016/j.jnnfm.2007.05.014 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2011-10-01T00:00:00.0000000 2012-09-26T13:05:02.4552319 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised K.S Sujatha 1 Hocine Matallah 2 M.J Banaai 3 M.F Webster 4 Michael Webster 0000-0002-7722-821X 5 Su Nithiarasu 6
title Modeling step-strain filament-stretching (CaBER-type) using ALE techniques
spellingShingle Modeling step-strain filament-stretching (CaBER-type) using ALE techniques
Hocine Matallah
Michael Webster
Su Nithiarasu
title_short Modeling step-strain filament-stretching (CaBER-type) using ALE techniques
title_full Modeling step-strain filament-stretching (CaBER-type) using ALE techniques
title_fullStr Modeling step-strain filament-stretching (CaBER-type) using ALE techniques
title_full_unstemmed Modeling step-strain filament-stretching (CaBER-type) using ALE techniques
title_sort Modeling step-strain filament-stretching (CaBER-type) using ALE techniques
author_id_str_mv e602e946a79ef8ec015e79ad2acb14ed
b6a811513b34d56e66489512fc2c6c61
8f6733726060128bc127c97eefbde9a5
author_id_fullname_str_mv e602e946a79ef8ec015e79ad2acb14ed_***_Hocine Matallah
b6a811513b34d56e66489512fc2c6c61_***_Michael Webster
8f6733726060128bc127c97eefbde9a5_***_Su Nithiarasu
author Hocine Matallah
Michael Webster
Su Nithiarasu
author2 K.S Sujatha
Hocine Matallah
M.J Banaai
M.F Webster
Michael Webster
Su Nithiarasu
format Journal article
container_title Journal of Non-Newtonian Fluid Mechanics
container_volume 148
container_start_page 109
publishDate 2008
institution Swansea University
doi_str_mv 10.1016/j.jnnfm.2007.05.014
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
url http://dx.doi.org/10.1016/j.jnnfm.2007.05.014
document_store_str 0
active_str 0
description This paper discusses the numerical modeling of capillary break-up extensional rheometer procedures (CaBER) using Arbitrary Lagrangian/Eulerian (ALE) methods. Different models, fluid viscosities and aspect-ratios are studied, employing a hybrid finite element/finite volume spatial approach. Finite element discretisation is employed for the momentum and continuity equation, whilst a pure-upwinding cell-vertex finite volume representation is utilised for the hyperbolic stress equation. The results are validated against equivalent experimental results from the literature. By employing various constitutive models, viscoelastic response has been studied for some strain-hardening fluids. Two different polymeric to solvent viscosity ratios are studied covering both high and low solvent fractions. The relaxation time and the apparent extensional viscosity are calculated for both viscosity ratios, from the evolution of the mid-filament diameter. For these viscoelastic solutions, the extensional viscosity increases with strain, and this trend, and its range of values in apparent extensional viscosity values agree well with the literature. Also, estimated relaxation times are found to lie in close agreement with the actual relaxation time data used for the fluids in question.
published_date 2008-01-17T03:15:25Z
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score 10.927374