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Numerical simulation of dynamic contact angle using a force based formulation / Davide Deganello, Nick Croft, Alison Williams, A.S Lubansky, David Gethin, Tim Claypole

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

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

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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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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 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.
Item Description: 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: College of Engineering
Issue: 16
Start Page: 900
End Page: 907