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Vane constants for the soft solids tester, Stress constant: (prom, Strain / rate constant: k-gamma – Brookfield R/S-SST Rheometer User Manual

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Vane Constants For The Soft Solids Tester

Stress Constant:

ττττ

Prom.

All standard vanes supplied for the Soft Solids Tester have a height (H) to diameter
(D) ratio of 2:1. A stress constant is required for each vane to convert torque in
Newton metres to shear stress in Pascals. This constant is calculated as follows:

τ

π

prom

D

H

D

=

+





10

1

3

4

3

1


The constants for our standard vanes are as follows:

Vane

Diameter (m)

Height (m)

ττττ

-prom

V30-15 0.015

0.030 4.043

V40-20 0.020

0.040 1.706

V80-40 0.040

0.080 0.2132


These are now pre-loaded in our software. If you do not have these vanes available in
Block Editor or on your instrument then please load them using Meas-Editor for
software driven setups, or Utilities

Measuring Systems for stand-alone setups.

Strain / Rate Constant: K-Gamma

The constant K-Gamma converts the rotational rate or position into shear rate / strain
values. It’s value is dependent upon the ratio of container-to-vane diameter. The
vanes pre-loaded into your software (eg V40-20-3to1) assume a ratio of 3:1. If you
use vane/container combinations that don’t match this you will need to set up a new
measuring system in Meas-Editor or Utilities

Measuring Systems. You can

calculate out the required value using:

K

gamma

b

=

0 2094

1

2

.


where b is the ratio of inner to outer diameters, or select an appropriate value from the
following table:

Container to Vane Diameter Ratio

K-Gamma

1.5 to 1

0.3763

2 to 1

0.2792

3 to 1

0.2355

4 to 1

0.2234

5 to 1

0.2181

Infinite sea

0.2094