Modeling ternary fluids in contact with elastic membranes

Pepona, Marianna, Shek, Alvin C. M., Semprebon, Ciro, Krüger, Timm and Kusumaatmaja, Halim (2021) Modeling ternary fluids in contact with elastic membranes. Physical Review E, 103 (2). 022112. ISSN 2470-0045

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Official URL: https://doi.org/10.1103/physreve.103.022112

Abstract

We present a thermodynamically consistent model of a ternary fluid interacting with elastic membranes. Following a free-energy modeling approach for the fluid phases, we derive the governing equations for the dynamics of the ternary fluid flow and membranes. We also provide the numerical framework for simulating such fluid-structure interaction problems. It is based on the lattice Boltzmann method for the ternary fluid (Eulerian description) and a finite difference representation of the membrane (Lagrangian description). The ternary fluid and membrane solvers are coupled through the immersed boundary method. For validation purposes, we consider the relaxation dynamics of a two-dimensional elastic capsule placed at a fluid-fluid interface. The capsule shapes, resulting from the balance of surface tension and elastic forces, are compared with equilibrium numerical solutions obtained by surface evolver. Furthermore, the Galilean invariance of the proposed model is proven. The proposed approach is versatile, allowing for the simulation of a wide range of geometries. To demonstrate this, we address the problem of a capillary bridge formed between two deformable capsules.

Item Type: Article
Subjects: F200 Materials Science
F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: John Coen
Date Deposited: 19 Jan 2021 09:28
Last Modified: 31 Jul 2021 15:30
URI: http://nrl.northumbria.ac.uk/id/eprint/45254

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