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• W2285321641 endingPage "866" @default.
• W2285321641 startingPage "823" @default.
• W2285321641 abstract "By methods from nonequilibrium thermodynamics, we derive a diffuse-interface model for two-phase flow of incompressible fluids with dissolved noninteracting polymers. The polymers are modeled by dumbbells subjected to general elastic spring-force potentials including in particular Hookean and finitely extensible, nonlinear elastic (FENE) potentials. Their density and orientation are described by a Fokker–Planck-type equation which is coupled to a Cahn–Hilliard and a momentum equation for phase-field and gross velocity/pressure. Henry-type energy functionals are used to describe different solubility properties of the polymers in the different phases or at the liquid–liquid interface. Taking advantage of the underlying energetic/entropic structure of the system, we prove existence of a weak solution globally in time for the case of FENE-potentials. As a by-product in the case of Hookean spring potentials, we derive a macroscopic diffuse-interface model for two-phase flow of Oldroyd-B-type liquids." @default.
• W2285321641 created "2016-06-24" @default.
• W2285321641 creator A5052005314 @default.
• W2285321641 creator A5052631862 @default.
• W2285321641 date "2016-02-25" @default.
• W2285321641 modified "2023-10-14" @default.
• W2285321641 title "On micro–macro-models for two-phase flow with dilute polymeric solutions — modeling and analysis" @default.
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• W2285321641 doi "https://doi.org/10.1142/s0218202516500196" @default.
• W2285321641 hasPublicationYear "2016" @default.
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