Macroscopic Phase-Field Model of Partial Wetting: Bubbles in a Capillary Tube
Name
Cueto-Felgueroso-2012-Macroscopic Phase-Field Model of Partial.pdf
Size
1.06 MB
Format
Adobe PDF
Checksum (MD5)
e0efcb9817997da2d38758aaa9851534
Author(s)
Cueto-Felgueroso, Luis
Juanes, Ruben
Date Issued
April 2012
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Cueto-Felgueroso, Luis, and Ruben Juanes. “Macroscopic Phase-Field Model of Partial Wetting: Bubbles in a Capillary Tube.” Physical Review Letters 108.14 (2012). © 2012 American Physical Society
Version
Final published version
Abstract
Drops and bubbles are nonspreading, local, compactly supported features. They are also equilibrium configurations in partial wetting phenomena. Yet, current macroscopic theories of capillary-dominated flow are unable to describe these systems. We propose a framework to model multiphase flow in porous media with nonspreading equilibrium configurations. We illustrate our approach with a one-dimensional model of two-phase flow in a capillary tube. Our model allows for the presence of compactons: nonspreading steady-state solutions in the absence of external forces. We show that local rate dependency is not needed to explain globally rate-dependent displacement patterns, and we interpret dynamic wetting transitions as the route from equilibrium, capillary-dominated configurations, towards viscous-dominated flow. Mathematically, these transitions are possible due to nonclassical shock solutions and the role of bistability and higher-order terms in our model.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevLett.108.144502
