A fully deterministic micro–macro simulation of complex flows involving reversible network fluid models

B. Mokdad, A. Ammar, M. Normandin, F. Chinesta and J.R. Clermont

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 9, 1936-1961

Abstract: 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.

Keywords: Kinetic theory; Micro–macro approach; Fiber suspensions; Stream-Tube method; Reversible network models (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:9:p:1936-1961

DOI: 10.1016/j.matcom.2010.03.002

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