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A cone-partitioned plate rheometer cell with three partitions (CPP3) to determine shear stress and both normal stress differences for small quantities of polymeric fluids
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10.1122/1.4797458
/content/sor/journal/jor2/57/3/10.1122/1.4797458
http://aip.metastore.ingenta.com/content/sor/journal/jor2/57/3/10.1122/1.4797458

Figures

Image of FIG. 1.
FIG. 1.

(a) Principal dimensions of the RMS800 and the CPP2 rheometers. Signals: Forces F, F, torques M, M. In the RMS800, only F and M were measured. R is exclusively used for this geometry. (b) Principal dimensions of CPP3 rheometer cell. Signals: Forces F, F, torque M = M. R and R are exclusively used for this geometry. F is not measured.

Image of FIG. 2.
FIG. 2.

Comparison of forces F acting on different partitions, calculated for N and N given in the figure and the following geometries (see Fig. 1 ): CPP2: R = 6 mm. CPP3: R = 3 mm, R = 6 mm. 6 < R < 8 mm is the radius of the sample. Dotted lines: CPP2, solid lines: CPP3. To reduce confusion, F and F are used for the CPP2, F and F for the CPP3 only. Note that F = F + F.

Image of FIG. 3.
FIG. 3.

Setup of partition P1 of the CPP3 rheometer cell. F film heater, G glass foam, F normal force module, M torque module. Principal dimension: 2R = 6 mm.

Image of FIG. 4.
FIG. 4.

Setup of partition P2 of the CPP3 rheometer cell. AF auxiliary frame, BR base ring, DS disk springs, F film heater, G glass foam, F normal force modules, H height and tilt adjustment. Principal dimension: 2R = 12 mm.

Image of FIG. 5.
FIG. 5.

Assembly: Partition P1 in green, partition P2 in yellow, support structure in grey. A adapter plate to MCR300, AF auxiliary frame, B baseplate (thermostatted), BR base ring, C Thermocoax, DS disk springs, F film heaters, F, F normal force modules, G glass foam, M torque module, P3 partition 3 (in light blue, nonmeasuring), S centering and height adjustment of P3, T tubular casing.

Image of FIG. 6.
FIG. 6.

Start-up viscosity η of PDMS 04A006 at 30 °C. The total strain during shear is 40. The sample size of all samples is R = 9 ± 0.1 mm. Each test has been repeated twice and from a fresh sample. η(t) is calculated from the linear RTS (Table IV ). The shear rate in (s) is indicated in the figure.

Image of FIG. 7.
FIG. 7.

Steady state values of η, Ψ, and −Ψ, determined at a strain of γ ≈ 15. η(t) and Ψ (t) are calculated from the RTS with Eqs. (2) and (3) . The Gleissle mirror relations [ ] were applied to η( ) and Ψ( ) with κ = 2.2 to get η(1/ ) and Ψ(κ/ ). −Ψ (t) is a second order polynomial fit to −Ψ(κ/ ).

Image of FIG. 8.
FIG. 8.

(a) Start-up first normal stress coefficient Ψ of PDMS 04A006 at 30 °C. Shear rate 6 s. This corresponds to Wi ≈ 1. The total strain during shear is 40. The solid circles with error bars are calculated with the RMS800 method [ ]. (b) Start-up negative second normal stress coefficient −Ψ.

Tables

Generic image for table
TABLE I.

List of partitioned plate rheometers.

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TABLE II.

Specifications of the CPP3 rheometer cell.

Generic image for table
TABLE III.

Characteristics of the sample PDMS 04A006.

Generic image for table
TABLE IV.

Linear viscoelastic RTS of PDMS 04A006 at 30 °C.

Generic image for table
TABLE V.

Axial compliance effects in the CPP3 cell. Common parameters: Cone angle α 0.15 rad, axial stiffness K = 2 N/m, τ = 0.2 s, axial response time t = 6πRη/Kα [ ]. If t ≥ 0.3, axial compliance effects are expected in the transient regime.

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/content/sor/journal/jor2/57/3/10.1122/1.4797458
2013-05-01
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A cone-partitioned plate rheometer cell with three partitions (CPP3) to determine shear stress and both normal stress differences for small quantities of polymeric fluids
http://aip.metastore.ingenta.com/content/sor/journal/jor2/57/3/10.1122/1.4797458
10.1122/1.4797458
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