A Fully Deterministic Micro-Macro Simulation of Complex Flows Involving Reversible Network Fluid Models

Bechir Mokdad (1) , Amine Ammar (1) , Magdeleine Normandin (1) , Francisco Chinesta (2) , Jean-Robert Clermont (1)

1 LR - Laboratoire de rhéologie
2 GeM - Institut de Recherche en Génie Civil et Mécanique

Micro-macro models associate the coarse-grained molecular scale of the kinetic theory to the macroscopic scale of continuum mechanics. The conservation equations are solved along with the microscopic equation or the so-called Fokker-Planck equation. In this paper, a micro macro approach based on the separated representation introduced in [2,3] with the Stream-Tube method [10-12,21,22] is implemented to study the main features of fiber and polymer networks solutions in complex flows. The Fokker-Planck equation, that defines the fluid microstructure, is solved using a separated representation strategy and is coupled to the macroscopic equations through the macroscopic extra-stress tensor evaluated at the microscopic level. Then, the flow kinematics is solved by applying the Stream-Tube method.

Mots clés: Fiber suspensions; Micro–macro approach; Kinetic theory; Stream-Tube method; Reversible network models

Domaines: Mécanique des fluides [physics.class-ph]

Bechir Mokdad, Amine Ammar, Magdeleine Normandin, Francisco Chinesta, Jean-Robert Clermont. A Fully Deterministic Micro-Macro Simulation of Complex Flows Involving Reversible Network Fluid Models. Mathematics and Computers in Simulation, 2010, 80 (9), pp.1936-1961. ⟨10.1016/j.matcom.2010.03.002⟩. ⟨hal-01004833⟩