A Mathematical Model for Two‐Phase Flow in Confined Environments: Numerical Solution and Validation [* Cross-Reference *]

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Giuseppe Sciumè; Haohong Pi; Abdelaziz Omari; Thomas Lavigne, 2025, "A Mathematical Model for Two‐Phase Flow in Confined Environments: Numerical Solution and Validation [* Cross-Reference *]", https://lore.list.lu/citation?persistentId=perma:LIST.ZLC1X2, LIST Open Repository, V1
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Description
This study presents a numerical framework for modeling two-phase flow in confined environments, focusing on the interplay between capillary and viscous forces. The model integrates the Cahn-Hilliard and Navier-Stokes (CH-NS) equations, utilizing a diffuse-interface approach to capture interfacial dynamics without the limitations of sharp-interface models. Implemented in the finite element platform FEniCS, the framework incorporates Dirichlet boundary conditions to model a fully non-wetting phase. The validation of the proposed model is achieved through two applications: The retraction of an oil droplet from a capillary tube and the drainage of water-wet microfluidic chips. Numerical results align with experimental data, demonstrating the framework's ability to replicate interfacial behaviors, including capillary-driven dynamics and fingering phenomena. This work provides a versatile computational tool for studying immiscible fluid flow, offering potential for advancements in fundamental research on microfluidics, enhanced oil recovery, and remediation of contaminated soil. (2025-12-04)
***This entry has been automatically imported via OpenAlex by LIST harvest scripts. Please refer to https://doi.org/10.1002/fld.70030 for the original and latest version of the publication*** (2026-07-01)
Subject Engineering; Physics
Keyword Capillary action, Computational fluid dynamics, Flow (mathematics), Boundary value problem, Finite element method, Microfluidics, Work (physics), Fluid dynamics, Replicate
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