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Numerical simulation of dynamic contact angle using a force based formulation

Davide Deganello Orcid Logo, Nick Croft Orcid Logo, Alison Williams Orcid Logo, A.S Lubansky, David Gethin Orcid Logo, Tim Claypole Orcid Logo

Journal of Non-Newtonian Fluid Mechanics, Volume: 166, Issue: 16, Pages: 900 - 907

Swansea University Authors: Davide Deganello Orcid Logo, Nick Croft Orcid Logo, Alison Williams Orcid Logo, David Gethin Orcid Logo, Tim Claypole Orcid Logo

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DOI (Published version): 10.1016/j.jnnfm.2011.04.008

Abstract

A method for the numerical simulation of the dynamic response of the contact angle is presented and its development discussed. The proposed method was developed within a level-set framework by modelling forced capillary flows and it is based on the introduction of a force function to capture the bal...

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Published in: Journal of Non-Newtonian Fluid Mechanics
ISSN: 0377-0257
Published: 2011
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URI: https://cronfa.swan.ac.uk/Record/cronfa14254
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The proposed method was developed within a level-set framework by modelling forced capillary flows and it is based on the introduction of a force function to capture the balance of forces in the contact region between solid boundaries and a diffuse free-surface fluid interface. The proposed approach allows the system to define its own dynamic contact angle and its own contact line dynamics, without introducing numerical discontinuities such as locally prescribed angles or slip-length. The method was developed through numerical testing and comparisons with experimental and empirical models reported in the literature. These showed the validity of the proposed approach, which was able to reproduce the experimental correlation between the capillary number and the dynamic contact angle reported by [R.L. Hoffman, Study of advancing interface. 1. Interface shape in liquid&#x2013;gas systems, J. Colloid Interf. Sci. 50 (1975) 228&#x2013;241]. By using a single constitutive model for the force function, the simulation results of the dynamic contact angle showed an excellent agreement with the values predicted by Jiang&#x2019;s empirical equation [T.S. Jiang, O.H. Soo-Gun, J.C. Slattery, Correlation for dynamic contact angle, J. Colloid Interf. Sci. 69 (1979) 74&#x2013;77] through different material properties and flow speeds. The proposed approach also demonstrated the ability to work with meshes of low resolution.</abstract><type>Journal Article</type><journal>Journal of Non-Newtonian Fluid Mechanics</journal><volume>166</volume><journalNumber>16</journalNumber><paginationStart>900</paginationStart><paginationEnd>907</paginationEnd><publisher/><issnPrint>0377-0257</issnPrint><keywords/><publishedDay>1</publishedDay><publishedMonth>9</publishedMonth><publishedYear>2011</publishedYear><publishedDate>2011-09-01</publishedDate><doi>10.1016/j.jnnfm.2011.04.008</doi><url/><notes>Capturing the dynamic response of the contact angle in a filamentation process is a crucial step in linking modelling with practice. The proposed approach is based on a level set framework combined with the introduction of a force function to capture the balance of forces in the contact region between solid boundaries and a diffuse free-surface fluid interface. This allows the system to define its own dynamic contact angle and its own contact line dynamics, without introducing numerical discontinuities. The method shows good agreement with experimental and empirical models reported in the literature.</notes><college>COLLEGE NANME</college><department>Mechanical Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>MECH</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2020-10-08T16:29:23.9930854</lastEdited><Created>2013-09-03T06:01:24.0000000</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering</level></path><authors><author><firstname>Davide</firstname><surname>Deganello</surname><orcid>0000-0001-8341-4177</orcid><order>1</order></author><author><firstname>Nick</firstname><surname>Croft</surname><orcid>0000-0002-1521-5261</orcid><order>2</order></author><author><firstname>Alison</firstname><surname>Williams</surname><orcid>0000-0002-2494-1468</orcid><order>3</order></author><author><firstname>A.S</firstname><surname>Lubansky</surname><order>4</order></author><author><firstname>David</firstname><surname>Gethin</surname><orcid>0000-0002-7142-8253</orcid><order>5</order></author><author><firstname>Tim</firstname><surname>Claypole</surname><orcid>0000-0003-1393-9634</orcid><order>6</order></author></authors><documents/><OutputDurs/></rfc1807>
spelling 2020-10-08T16:29:23.9930854 v2 14254 2013-09-03 Numerical simulation of dynamic contact angle using a force based formulation ea38a0040bdfd3875506189e3629b32a 0000-0001-8341-4177 Davide Deganello Davide Deganello true false 8f82cd0b51f4b95b0dd6fa89427d9fc7 0000-0002-1521-5261 Nick Croft Nick Croft true false cb1b1946eccac3bbf7592d6ab1c4d065 0000-0002-2494-1468 Alison Williams Alison Williams true false 20b93675a5457203ae87ebc32bd6d155 0000-0002-7142-8253 David Gethin David Gethin true false 7735385522f1e68a8775b4f709e91d55 0000-0003-1393-9634 Tim Claypole Tim Claypole true false 2013-09-03 MECH A method for the numerical simulation of the dynamic response of the contact angle is presented and its development discussed. The proposed method was developed within a level-set framework by modelling forced capillary flows and it is based on the introduction of a force function to capture the balance of forces in the contact region between solid boundaries and a diffuse free-surface fluid interface. The proposed approach allows the system to define its own dynamic contact angle and its own contact line dynamics, without introducing numerical discontinuities such as locally prescribed angles or slip-length. The method was developed through numerical testing and comparisons with experimental and empirical models reported in the literature. These showed the validity of the proposed approach, which was able to reproduce the experimental correlation between the capillary number and the dynamic contact angle reported by [R.L. Hoffman, Study of advancing interface. 1. Interface shape in liquid–gas systems, J. Colloid Interf. Sci. 50 (1975) 228–241]. By using a single constitutive model for the force function, the simulation results of the dynamic contact angle showed an excellent agreement with the values predicted by Jiang’s empirical equation [T.S. Jiang, O.H. Soo-Gun, J.C. Slattery, Correlation for dynamic contact angle, J. Colloid Interf. Sci. 69 (1979) 74–77] through different material properties and flow speeds. The proposed approach also demonstrated the ability to work with meshes of low resolution. Journal Article Journal of Non-Newtonian Fluid Mechanics 166 16 900 907 0377-0257 1 9 2011 2011-09-01 10.1016/j.jnnfm.2011.04.008 Capturing the dynamic response of the contact angle in a filamentation process is a crucial step in linking modelling with practice. The proposed approach is based on a level set framework combined with the introduction of a force function to capture the balance of forces in the contact region between solid boundaries and a diffuse free-surface fluid interface. This allows the system to define its own dynamic contact angle and its own contact line dynamics, without introducing numerical discontinuities. The method shows good agreement with experimental and empirical models reported in the literature. COLLEGE NANME Mechanical Engineering COLLEGE CODE MECH Swansea University 2020-10-08T16:29:23.9930854 2013-09-03T06:01:24.0000000 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering Davide Deganello 0000-0001-8341-4177 1 Nick Croft 0000-0002-1521-5261 2 Alison Williams 0000-0002-2494-1468 3 A.S Lubansky 4 David Gethin 0000-0002-7142-8253 5 Tim Claypole 0000-0003-1393-9634 6
title Numerical simulation of dynamic contact angle using a force based formulation
spellingShingle Numerical simulation of dynamic contact angle using a force based formulation
Davide Deganello
Nick Croft
Alison Williams
David Gethin
Tim Claypole
title_short Numerical simulation of dynamic contact angle using a force based formulation
title_full Numerical simulation of dynamic contact angle using a force based formulation
title_fullStr Numerical simulation of dynamic contact angle using a force based formulation
title_full_unstemmed Numerical simulation of dynamic contact angle using a force based formulation
title_sort Numerical simulation of dynamic contact angle using a force based formulation
author_id_str_mv ea38a0040bdfd3875506189e3629b32a
8f82cd0b51f4b95b0dd6fa89427d9fc7
cb1b1946eccac3bbf7592d6ab1c4d065
20b93675a5457203ae87ebc32bd6d155
7735385522f1e68a8775b4f709e91d55
author_id_fullname_str_mv ea38a0040bdfd3875506189e3629b32a_***_Davide Deganello
8f82cd0b51f4b95b0dd6fa89427d9fc7_***_Nick Croft
cb1b1946eccac3bbf7592d6ab1c4d065_***_Alison Williams
20b93675a5457203ae87ebc32bd6d155_***_David Gethin
7735385522f1e68a8775b4f709e91d55_***_Tim Claypole
author Davide Deganello
Nick Croft
Alison Williams
David Gethin
Tim Claypole
author2 Davide Deganello
Nick Croft
Alison Williams
A.S Lubansky
David Gethin
Tim Claypole
format Journal article
container_title Journal of Non-Newtonian Fluid Mechanics
container_volume 166
container_issue 16
container_start_page 900
publishDate 2011
institution Swansea University
issn 0377-0257
doi_str_mv 10.1016/j.jnnfm.2011.04.008
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 Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering
document_store_str 0
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description A method for the numerical simulation of the dynamic response of the contact angle is presented and its development discussed. The proposed method was developed within a level-set framework by modelling forced capillary flows and it is based on the introduction of a force function to capture the balance of forces in the contact region between solid boundaries and a diffuse free-surface fluid interface. The proposed approach allows the system to define its own dynamic contact angle and its own contact line dynamics, without introducing numerical discontinuities such as locally prescribed angles or slip-length. The method was developed through numerical testing and comparisons with experimental and empirical models reported in the literature. These showed the validity of the proposed approach, which was able to reproduce the experimental correlation between the capillary number and the dynamic contact angle reported by [R.L. Hoffman, Study of advancing interface. 1. Interface shape in liquid–gas systems, J. Colloid Interf. Sci. 50 (1975) 228–241]. By using a single constitutive model for the force function, the simulation results of the dynamic contact angle showed an excellent agreement with the values predicted by Jiang’s empirical equation [T.S. Jiang, O.H. Soo-Gun, J.C. Slattery, Correlation for dynamic contact angle, J. Colloid Interf. Sci. 69 (1979) 74–77] through different material properties and flow speeds. The proposed approach also demonstrated the ability to work with meshes of low resolution.
published_date 2011-09-01T03:16:21Z
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score 11.013731

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