Ps. Doyle et Esg. Shaqfeh, DYNAMIC SIMULATION OF FREELY-DRAINING, FLEXIBLE BEAD-ROD CHAINS - START-UP OF EXTENSIONAL AND SHEAR-FLOW, Journal of non-Newtonian fluid mechanics, 76(1-3), 1998, pp. 43-78
We present a study of the rheology and optical properties during the s
tart-up of uniaxial extensional and shear flow for freely-draining, Kr
amers bead-rod chains using Brownian dynamics simulations. The viscous
and elastic contributions to the polymer stress are unambiguously det
ermined via methods developed in our previous publication [1]. The ela
stic contribution to the polymer stress is much larger than the viscou
s contribution beyond a time of 5.3 lambda/N-2 where N is the number o
f beads in the chain and lambda(1) is the longest relaxation time of t
he chain. For small Wi (at arbitrary strains) and for small strains (a
t arbitrary Wi) the stress-optic law is found to be valid. The stress-
optic coefficients based on the shear stress and first normal stress d
ifference are equal for all Wi (even when the stress-optic law is not
valid) suggesting the stress-optic coefficient is in general a scalar
quantity rather than its most general form as a fourth order tensor. W
e show that a multimode FENE-PM or Rouse model describes the rheology
of the bead-rod chains at small strains, while the FENE dumbbell is an
accurate model at larger strains. We compare the FENE-PM and FENE mod
el to experimental extensional stress data of dilute polystyrene solut
ions and find that a multimode FENE-PM with a Zimm relaxation spectrum
describes the data well at small strains while a FENE dumbbell with a
conformation dependent drag is in quantitative agreement at larger st
rains. (C) 1998 Elsevier Science B.V. All rights reserved.