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Thermodynamically consistent derivation of a micro-macro model for dilute polymeric fluids

Banff International Research Station for Mathematical Innovation and Discovery

The rheology of complex fluids such as polymeric liquids is highly non-Newtonian in nature and manifests itself as an extra stress component in the Cauchy stress tensor. At the purely macroscopic level, the extra stress tensor is linked to the velocity field through, say, a partial differential equation. An alternative approach consists in finding an expression for the macroscopic extra stress tensor in terms of the microscopic dynamics of the polymer chains. We present a thermodynamically based approach to the design of a class of such micro-macro models for dilute polymeric liquids and show that the thermodynamic background of the model naturally yields stability of the steady state when the fluid occupies an isolated vessel.

Mathematics; Partial differential equations; Fluid mechanics; Fluid dynamics

video/mp4

Author affiliation: Charles University

2021-05-24

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/78422

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/