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Title: Thermodynamic coarsening arrested by viscous fingering in partially miscible binary mixtures

Abstract

We view the evolution of binary mixtures far from equilibrium, and demonstrate that the interplay between phase separation and hydrodynamic instability can arrest the Ostwald ripening process characteristic of nonflowing mixtures. We describe a model binary system in a Hele-Shaw cell using a phase-field approach with explicit dependence of both phase fraction and mass concentration. When the viscosity contrast between phases is large (as is the case for gas and liquid phases), an imposed background flow leads to viscous fingering, phase branching, and pinch off. This dynamic flow disorder limits phase growth and arrests thermodynamic coarsening. Because of this, the system reaches a regime of statistical steady state in which the binary mixture is permanently driven away from equilibrium.

Authors:
 [1];  [2];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Technical Univ. of Madrid, Madrid (Spain)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of Texas, Austin, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
OSTI Identifier:
1505596
Alternate Identifier(s):
OSTI ID: 1325613
Grant/Contract Number:  
FE0013999; SC0009286
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 94; Journal Issue: 3; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Fu, Xiaojing, Cueto-Felgueroso, Luis, and Juanes, Ruben. Thermodynamic coarsening arrested by viscous fingering in partially miscible binary mixtures. United States: N. p., 2016. Web. doi:10.1103/physreve.94.033111.
Fu, Xiaojing, Cueto-Felgueroso, Luis, & Juanes, Ruben. Thermodynamic coarsening arrested by viscous fingering in partially miscible binary mixtures. United States. doi:10.1103/physreve.94.033111.
Fu, Xiaojing, Cueto-Felgueroso, Luis, and Juanes, Ruben. Tue . "Thermodynamic coarsening arrested by viscous fingering in partially miscible binary mixtures". United States. doi:10.1103/physreve.94.033111. https://www.osti.gov/servlets/purl/1505596.
@article{osti_1505596,
title = {Thermodynamic coarsening arrested by viscous fingering in partially miscible binary mixtures},
author = {Fu, Xiaojing and Cueto-Felgueroso, Luis and Juanes, Ruben},
abstractNote = {We view the evolution of binary mixtures far from equilibrium, and demonstrate that the interplay between phase separation and hydrodynamic instability can arrest the Ostwald ripening process characteristic of nonflowing mixtures. We describe a model binary system in a Hele-Shaw cell using a phase-field approach with explicit dependence of both phase fraction and mass concentration. When the viscosity contrast between phases is large (as is the case for gas and liquid phases), an imposed background flow leads to viscous fingering, phase branching, and pinch off. This dynamic flow disorder limits phase growth and arrests thermodynamic coarsening. Because of this, the system reaches a regime of statistical steady state in which the binary mixture is permanently driven away from equilibrium.},
doi = {10.1103/physreve.94.033111},
journal = {Physical Review E},
number = 3,
volume = 94,
place = {United States},
year = {2016},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 2 works
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Figures / Tables:

FIG. 1 FIG. 1: (Top) The common tangent construction (blue line) on the bulk free energy of pure phases yields the equilibrium concentrations (green circles) within gas and liquid. For parameters αl = 1, βl = 500, αg = 200, βg = 2 × 10−4, the equilibrium compositions are c$^{eq}_{l}$ ≈ 0.304more » and c$^{eq}_{g}$ ≈ 0.828. (Bottom) Zoomed-in snapshots of c illustrate the process of spinodal decomposition of a domain that is initially filled with supersaturated liquid (t = 0). The progression shows vapor bubbles (high c, red) that nucleate and coarsen out of the liquid phase (low c, pink).« less

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