The FENE-L and FENE-LS closure approximations to the kinetic theory of finitely extensible dumbbells

We address the closure problem for the Warner Finitely Extensible Non-Linear Elastic (FENE) dumbbell model of a dilute polymer solution. The FENE-L closure model, introduced recently for one-dimensional elongational flows [G. Lielens, P. Halin, I. Jaumain, R. Keunings, V. Legat, J. Non-Newtonian Flu...

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Bibliographic Details
Published in:Journal of non-Newtonian fluid mechanics 1999-11, Vol.87 (2), p.179-196
Main Authors: Lielens, G., Keunings, R., Legat, V.
Format: Article
Language:English
Subjects:
Applied sciences
Closure approximation
Constitutive equation
Exact sciences and technology
FENE dumbbells
Kinetic theory
Organic polymers
Physicochemistry of polymers
Properties and characterization
Solution and gel properties
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Summary:We address the closure problem for the Warner Finitely Extensible Non-Linear Elastic (FENE) dumbbell model of a dilute polymer solution. The FENE-L closure model, introduced recently for one-dimensional elongational flows [G. Lielens, P. Halin, I. Jaumain, R. Keunings, V. Legat, J. Non-Newtonian Fluid Mech. 76 (1998) 249–279], is extended to general flow kinematics. A simplified version of the theory, referred to as the FENE-LS model, is also proposed. Simulations of steady-state and transient rheometrical flows reveal the superiority of the FENE-L and FENE-LS constitutive equations with respect to the simpler FENE-P closure in describing the rheological response of the FENE kinetic theory.
ISSN:0377-0257
1873-2631
DOI:10.1016/S0377-0257(99)00063-4