Journal
MATHEMATICS AND COMPUTERS IN SIMULATION
Volume 80, Issue 9, Pages 1936-1961Publisher
ELSEVIER
DOI: 10.1016/j.matcom.2010.03.002
Keywords
Kinetic theory; Micro-macro approach; Fiber suspensions; Stream-Tube method; Reversible network models
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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. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
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