Sh. Spiegelberg et Gh. Mckinley, STRESS-RELAXATION AND ELASTIC DECOHESION OF VISCOELASTIC POLYMER-SOLUTIONS IN EXTENSIONAL FLOW, Journal of non-Newtonian fluid mechanics, 67, 1996, pp. 49-76
The evolution of the transient extensional stresses in dilute and semi
-dilute viscoelastic polymer solutions was measured with a filament st
retching rheometer of a design similar to that first introduced by Sri
dhar et al. The solutions were polystyrene-based Boger fluids which we
re stretched at constant strain rates in the range 0.6 less than or eq
ual to epsilon(0) less than or equal to 4 s(-1) and to Hencky strains
of epsilon > 4. The test fluids all strain-hardened and Trouton ratios
exceeding 1000 were obtained at high strains. In addition to measurin
g the transient tensile stress growth, the decay of the tensile viscoe
lastic stress in the fluid column following cessation of uniaxial elon
gation was also monitored as a function of the total imposed Hencky st
rain and the strain rate. The measured relaxation functions were found
to be significantly different from those observed following cessation
of steady shear flow. The extensional stresses initially decayed very
rapidly upon cessation of uniaxial elongation followed by a slower vi
scoelastic relaxation. For the most elastic fluids, partial decohesion
of the fluid filament from the endplates of the rheometer was observe
d in tests conducted at high strain rates. This elastic instability is
initiated near the rigid endplate fixtures of the device and it resul
ts in the progressive breakup of the fluid column into individual thre
ads or 'fibrils' with a regular azimuthal spacing. These fibrils elong
ate and bifurcate as the fluid sample is elongated further. In tests c
onducted at the highest Deborah numbers, complete sample decohesion fr
om the endplates and rapid elastic recoil were sometimes observed. The
critical stress and strain at the onset of the instability were deter
mined by monitoring the tensile force exerted by the filament, the sam
ple radius, and were used to construct an approximate stability diagra
m. Flow visualization experiments using a modified stretching device s
howed that the instability develops as a consequence of an axisymmetry
-breaking meniscus instability in the non-homogeneous region of highly
deformed fluid near the rigid endplate.