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Thermodynamically consistent diffuse interface models for incompressible two-phase flows with different densities

Abels, Helmut and Garcke, Harald and Grün, Günther (2010) Thermodynamically consistent diffuse interface models for incompressible two-phase flows with different densities. Preprintreihe der Fakultät Mathematik 20/2010, Working Paper. (Unpublished)

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Abstract

A new diffuse interface model for a two-phase ow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics. The model fulfills local and global dissipation inequalities and is also generalized to situations with a soluble species. Using the method of matched asymptotic expansions we derive various sharp interface models in the limit ...

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Item Type:Monograph (Working Paper)
Date:2010
Institutions:Mathematics > Prof. Dr. Helmut Abels
Classification:
NotationType
76T99MSC
35Q30MSC
35Q35MSC
35R35MSC
76D05MSC
Keywords:Two-phase flow, diffuse interface model, Cahn-Hilliard equation, free boundary value problems
Subjects:500 Science > 510 Mathematics
Status:Unpublished
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner: Eva Ruetz
Deposited On:13 Apr 2011 03:51
Last Modified:13 Mar 2014 17:14
Item ID:20496
Owner Only: item control page

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