Quantifying separation energy with a modifed Capillary Break-up Extensional
Rheometer (CaBER) to study polymer solutions
Kamran Riazi, Mahdi Abbasi, Christopher O. Klein, Ingo F. C. Naue, and Manfred Wilhelm
Institute for Chemical Technology and Polymer Chemistry (ITCP), Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany
ABSTRACT
A Capillary Break-up Extensional Rheometer (CaBER) was modifed to enable measurements of the
axial force in combination with the related displacement. This makes it possible to determine
the separation energy W
N
sep
, the tackiness, of a polymer solution between two parallel plates with
the CaBER. Separation energies of solutions of linear polystyrene, comb polystyrene and linear poly
(methyl methacrylate) in dimethylformamide were measured as model systems. For linear polymers
at a critical polymer concentration, there was a drastic change in slope of the separation energy
W
N
sep
c ðÞ. This critical concentration was shown to be the minimum concentration at which contin-
uous bead-free fbers could be electrospun.
ARTICLE HISTORY
Received 25 June 2019
Accepted 3 July 2020
KEYWORDS
Polymer solutions; CaBER;
separation energy;
electrospinning; elongation
rheology
Introduction
Extensional rheometry of polymeric solutions has been
a subject of interest over the last decades.
[1–3]
The viscoe-
lastic properties of polymer solutions under elongational
deformation are important both for basic research pur-
poses and in industrial applications such as coating and
fber spinning. The Filament Stretching Extensional
Rheometer (FiSER)
[3,4]
and Capillary Break-up
Extensional Rheometer (CaBER)
[5–10]
are among the
most commonly used devices to measure the fow proper-
ties of low to medium viscosity polymer solutions. Both
methods can characterize the properties of polymeric
fuids in uniaxial elongational fow.
[11,12]
In the CaBER
rheometer the sample under investigation is placed
between two parallel plates. The sample is stretched by
movement of the top plate. The upper plate moves a short
distance of 1–2 cm within, e.g., 50 ms thereby forming an
“unstable” liquid bridge between the stationary lower
plate and the upper plate (Fig. 1). In the frst versions of
CaBER rheometers, the mid-plane diameter D(t) of the
flament was the only measured quantity in the CaBER
experiment. This diameter is determined as a function of
time via a laser sheet micrometer, with the assumption
that flament necking takes place at the mid-plane. This
allows for the determination of characteristic elongational
fow properties such as the extensional relaxation time λ
E
and the apparent extensional viscosity η
E;app
.
[7]
According to the manufacturer, the CaBER is capable
of characterizing polymer solutions with zero shear
viscosities (η
0
) between 0.05 and 10 Pas.
[6–9,13]
The
CaBER elongational rheometer has been applied to var-
ious kinds of complex fuids such as wormlike micellar
systems,
[14,15]
concentrated emulsions,
[16]
and cross-
linked polymeric thickener solutions.
[17]
The characterization of fuids based on the frst version
of the commercially available CaBER setup is helpful with
respect to the determination of characteristic fgures of
merit. For the determination of the true elongational
viscosity of a polymer solution, it is necessary to accurately
measure the time-dependent axial force F(t), or stress σt ðÞ,
during flament thinning. Klein et al.
[18]
installed a highly
sensitive commercial piezoelectric transducer at the bot-
tom plate of a CaBER device. An exchangeable geometry
(e.g., diameter D
0
= 6 or 8 mm) can directly be fxed on
a force transducer. This setup allows for simultaneous
measurement of the flament diameter and the related
normal forces over the range of 5 × 10
−5
to 2 × 10
2
N
during extensional fow
[18]
; consequently both the time-
dependent D(t) and F(t) are measured.
Within this publication, this setup was further
extended to include also the measurement of the time-
dependent elongation, x(t), to investigate the extensional
properties of polymer solutions. These new experiments
difer from a classic CaBER experiment. The acquisition
of data begins at these experiments from the start of the
movement of the upper plate t = 0 ms. The polymeric
flm between two parallel plates breaks before the strike
time of the experiment ends. The measurement of the
CONTACT Manfred Wilhelm manfred.wilhelm@kit.edu Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology
(KIT), Engesserstrasse 18, 76131, Karlsruhe, Germany
SOFT MATERIALS
https://doi.org/10.1080/1539445X.2020.1792929
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