Rheological models with microstructural constraints

Rheological models of complex fluids with a physically restricted microstructure are analyzed to obtain general classes of dynamical evolution equations for these materials. These classes insure that the appropriate mathematical constraints, associated with each type of physical restriction, are con...

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Bibliographic Details
Published in:Rheologica acta 2003, Vol.42 (1-2), p.64-72
Main Authors: EDWARDS, B. J, DRESSLER, M, GRMELA, M, AIT-KADI, A
Format: Article
Language:English
Subjects:
Applied sciences
Computational fluid dynamics
Constraint modelling
Evolution
Exact sciences and technology
Mathematical analysis
Microstructure
Organic polymers
Physicochemistry of polymers
Properties and characterization
Rheological properties
Rheology
Rheology and viscoelasticity
Tensors
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Summary:Rheological models of complex fluids with a physically restricted microstructure are analyzed to obtain general classes of dynamical evolution equations for these materials. These classes insure that the appropriate mathematical constraints, associated with each type of physical restriction, are consistently incorporated into the corresponding model development. Describing the microstructure of the complex fluid with a second-rank tensor variable, a general class of dynamical evolution equations is derived for three physically meaningful constraints associated with constancy of the invariants of this microstructural tensor. The physical rationale for each of these constraints is discussed, and a corresponding set of constrained dynamical evolution equations is derived in general terms.
ISSN:0035-4511
1435-1528
DOI:10.1007/s00397-002-0256-9