Thermo Scientific HAAKE RotoVisco 1 Instruction Manual page 86

Sensor Systems
Calculation Equations to DIN 53019/ISO 3219
Shear Stress :
The shear stress  is proportional to the torque 'Md' and the
stress factor 'A'.
 = A  Md
The factor 'A' can be calculated as follows:
1
A =
2
2 ⋅ π ⋅ L ⋅ R ⋅ C
i
with R
i
L
C
L
It has the unit of an inverse volume.

(A) =
.
Shear Rate :
γ
.
The shear rate is proportionally linked to the angular veloc-
γ
ity and thus also to the speed and shear factor M.
.
= M ⋅ Ω
γ
The angular velocity  is calculated according to 2π
The factor M is calculated:
2
M = 1 + δ
2
− 1
δ
Deformation :
The deformation  is linearly linked to the angular deflection
and the geometry of a sensor system.
 = M   with  = Torsion angle [rad]
 is a dimensionless number
Filling Volume:
The standard lists the equation for the calculation of the filling
volume as follows: V = 8.17  R
84
2
⋅ 1 + δ
2
2δ
L
= Radius of 'Rotor'
= Length of Rotor
= Resistance Coefficient
(C = 1.1 according DIN 53019)
L
= Radius ratio R
--3
L
2
= Radii Relationship R

2
= 1.0847 (DIN 53019)

3 3
(cm )
i
/R
a i
⋅ n
60
/R
a i