On Micro-Macro Models for Two-Phase Flow of Dilute Polymeric Solutions
Host
Department of Applied Mathematics
Speaker
Stefan Metzger
Department of Mathematics, Friedrich-Alexander University of Erlangen–Nurnberg
http://www.mso.math.fau.de/applied-mathematics-1/staff-members/metzger-stefan/metzger-stefan/
Description
The rheology of fluids may be heavily affected by dissolved polymers. To describe this effect, a thermodynamically consistent micro-macro model for two-phase flow with dilute polymeric solutions is derived via combining a phase-field approach for the description of the fluids with a FENE-dumbbell model for the description of dissolved polymer chains. It consists of Cahn–Hilliard-type equations governing the evolution of the phase-field parameter, a Fokker–Planck-type equation describing position and configuration of the polymer chains, and Navier–Stokes-type equations reflecting the conservation of momentum.
Allowing for different solubility properties of the polymer chains in differ- ent fluids, this model covers the case of one Newtonian fluid and one dilute polymeric solution as well as the case of two dilute polymeric solutions.
The talk will address the essential details of the derivation of the model and its numerical treatment. In particular, a stable, convergent finite ele- ment scheme will be presented.
Event Topic
Stochastic & Multiscale Modeling and Computation