Gm. Harrison et al., THE DYNAMICS OF ULTRADILUTE POLYMER-SOLUTIONS IN TRANSIENT FLOW - COMPARISON OF DUMBBELL-BASED THEORY AND EXPERIMENT, Journal of rheology, 42(5), 1998, pp. 1039-1058
Predictions of the Chilcott-Rallison FENE dumbbell model for polymer c
onfiguration in start-up flow of a co-rotating two-roll mill, are comp
ared with birefringence measurements in a 40 ppmw solution of high mol
ecular weight polystyrene. Two versions of the Chilcott-Rallison model
are considered, one with a constant bead friction and the other with
bead friction that is assumed to increase in proportion to the end-to-
end dimension of the dumbbell. Parameters for the model were determine
d via independent experiments. We show that the flow, at this concentr
ation level, is unchanged from the form for a Newtonian fluid. Measure
ments and predictions of the birefringence are compared at the stagnat
ion point of the flow, where a high degree of polymer stretch is possi
ble. The Chilcott-Rallison model with constant bead friction, and an a
pproximation to the inverse Langevin spring function, gives excellent
agreement with the experimental results. (C) 1998 The Society of Rheol
ogy.