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# Journal of Non-Equilibrium Thermodynamics

Founded by Keller, Jürgen U.

Editor-in-Chief: Hoffmann, Karl Heinz

Managing Editor: Prehl, Janett / Schwalbe, Karsten

Ed. by Michaelides, Efstathios E. / Rubi, J. Miguel

4 Issues per year

IMPACT FACTOR 2016: 1.714

CiteScore 2016: 1.38

SCImago Journal Rank (SJR) 2016: 0.402
Source Normalized Impact per Paper (SNIP) 2016: 0.886

Online
ISSN
1437-4358
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Volume 43, Issue 2

# A Thermodynamically Consistent Approach to Phase-Separating Viscous Fluids

Denis Anders
• Computational Mechanics and Fluid Dynamics, Faculty of Computer Science and Engineering Science, TH Köln/University of Applied Sciences, Claudiusstraße 1, 50678 Cologne, Germany
• Email
• Other articles by this author:
/ Kerstin Weinberg
Published Online: 2018-03-15 | DOI: https://doi.org/10.1515/jnet-2017-0052

## Abstract

The de-mixing properties of heterogeneous viscous fluids are determined by an interplay of diffusion, surface tension and a superposed velocity field. In this contribution a variational model of the decomposition, based on the Navier–Stokes equations for incompressible laminar flow and the extended Korteweg–Cahn–Hilliard equations, is formulated. An exemplary numerical simulation using ${\mathit{C}}^{1}$-continuous finite elements demonstrates the capability of this model to compute phase decomposition and coarsening of the moving fluid.

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Revised: 2018-02-15

Accepted: 2018-02-21

Published Online: 2018-03-15

Published in Print: 2018-04-25

Citation Information: Journal of Non-Equilibrium Thermodynamics, Volume 43, Issue 2, Pages 185–191, ISSN (Online) 1437-4358, ISSN (Print) 0340-0204,

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