Lm. Quinzani et al., USE OF COUPLED BIREFRINGENCE AND LDV STUDIES OF FLOW-THROUGH A PLANARCONTRACTION TO TEST CONSTITUTIVE-EQUATIONS FOR CONCENTRATED POLYMER-SOLUTIONS, Journal of rheology, 39(6), 1995, pp. 1201-1228
Laser Doppler velocimetry and flow-induced birefringence are used to m
easure the rate of deformation and the principal components of the ref
ractive index tensor in a 5% polyisobutylene (PIB) solution in tetrade
cane (C14) flowing along the centerplane of an abrupt 3.97:1 planar co
ntraction. The stress optical law is used to interpret the birefringen
ce data in terms of the normal stress difference, which is used to cal
culate a transient elongational viscosity defined along the centerplan
e. These measurements are compared directly to predictions of six mult
imode, differential constitutive models (Oldroyd-B, White-Metzner, Aci
erno et al., Giesekus, Bird-DeAguiar, and Phan-Thien-Tanner) that are
fit to steady and small amplitude oscillatory shear flow data for the
PIB/C14 solution. The fluid exhibits slight elongational thickening fo
llowed by apparent extensional thinning at higher elongation rates. We
believe that this ''thinning'' behavior is due to the decreased resid
ence time of the polymer molecules in the high-strain-rate region as t
he flow rate (and maximum elongation rate) is increased. The nonlinear
constitutive equations, except for the White-Metzner model, are virtu
ally indistinguishable in their description of the dynamical response
of the fluid in this experiment; however, the Phan-Thien-Tanner model
gives the best quantitative fit to the data. These results point to th
e need for experiments in which the fluid flowing along the centerline
is subjected to a greater total elongational strain. (C) 1995 Society
of Rheology