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Thermodynamically consistent diffuse-interface mixture models of incompressible multicomponent fluids

delete2024-08-12
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M
Marco F. P. ten Eikelder *
K
Kristoffer G. van der Zee
D
Dominik Schillinger
DOI:10.1017/jfm.2024.502delete
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Abstract

Abstract

En 中文
The prototypical diffuse-interface model for incompressible fluid mixtures is the Navier-Stokes Cahn-Hilliard (Allen-Cahn) model. Despite its foundation in continuum mixture theory, it is not fully compatible with this theory due to the diffusive flux approximation. This paper introduces a class of thermodynamically consistent diffuse-interface incompressible fluid mixture models that is fully compatible with the continuum theory of mixtures. The proposed models can be formulated in either constituent or mixture quantities, enabling a direct comparison with the Navier-Stokes Cahn-Hilliard (Allen-Cahn) model with non-matching densities. This comparison reveals the key modelling simplifications employed in the latter.
Keywords:
Navier-Stokes equations

Journal

Journal of Fluid Mechanics cover
Journal of Fluid Mechanics
IF:
3.9
Papers:
2.0W
Citations:
9.4W

Organization

U
University of Nottingham
Scholars:
3.4W
Papers: 3.2W
Citations: 5.5W
T
Technical University of Darmstadt
Scholars:
1.3W
Papers: 10.0K
Citations: 1.2W