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Physically consistent modelling of surface tension forces in the Volume-of-Fluid method for three or more phases

Lookup NU author(s): Dr Elfego Ruiz GutierrezORCiD, Dr Josef Hasslberger, Dr Markus Klein, Professor Kenneth Dalgarno, Professor Nilanjan ChakrabortyORCiD

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


Abstract

© 2024 The Authors. Multiphase numerical simulations have become a widely sought methodology for modelling capillary flows due to their scientific relevance and multiple industrial applications. Much progress has been achieved using different approaches, and the volume of fluid is one of the most popular methods widely used for modelling two or more phases due to its simplicity, accuracy and robustness. However, when prescribing the forces emerging from three or more fluid-fluid interfaces, the force balance is not guaranteed and can lead to spurious self-propulsion. Here, a new approach to account for the surface tension forces for multiphase flows with a correct force balance is proposed. The newly proposed method is successfully validated for a wide range of tests, including contact angles for the fluid-fluid and fluid-solid triple line. Additionally, complete spreading phenomena of fluid on fluid and fluid on solid have been found to emerge naturally from the newly proposed surface tension force model. Finally, simulation results are compared against experiments of lubricant-impregnated surfaces to demonstrate the practical applicability of the newly proposed method.


Publication metadata

Author(s): Ruiz-Gutiérrez E, Hasslberger J, Klein M, Dalgarno K, Chakraborty N

Publication type: Article

Publication status: Published

Journal: Journal of Computational Physics

Year: 2024

Volume: 513

Print publication date: 15/09/2024

Online publication date: 31/05/2024

Acceptance date: 25/05/2024

Date deposited: 29/05/2024

ISSN (print): 0021-9991

ISSN (electronic): 1090-2716

Publisher: Academic Press Inc.

URL: https://doi.org/10.1016/j.jcp.2024.113149

DOI: 10.1016/j.jcp.2024.113149

Data Access Statement: The data supporting the findings in this study are available from the authors upon reasonable request.


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Funding

Funder referenceFunder name
EP/R029369/1EPSRC
EP/V013092/1
EPSRC

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