On the Peterlin approximation for finitely extensible dumbbells

For the simplest non-linear kinetic theory of dilute polymeric solutions (FENE dumbbells), the pre-averaging Peterlin approximation used to derive a macroscopic constitutive equation (FENE-P) is shown to have a significant impact on the statistical and rheological properties of the model. This is illustrated in simulations of transient elongational flows by means of standard and stochastic numerical techniques. (C) 1997 Elsevier Science B.V.

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