Dies ist eine alte Version des Dokuments!
Mixed indicators
→ Graphical representation of the mixed key figures
REX/PSI provides both analytical mixing indicators and regression models based on numerical simulations of the mixing effect of different zone types.
Analytical mixed indicators
In theshort report and in the Mixture triangle three mixing ratios are displayed for the calculated screw.
Transverse mixing ratio
The transverse mixing ratio $\pi_{LSM}$ is calculated as follows: $$\pi_{LSM} = \left[ 1 + \left(c_0 \overline{\gamma} \right)^2 \right]^{-1/2}$$ $$\text{with}$$ $$\overline{\gamma} = \frac{2 \left(1.03 + 0.074n \right) L}{\cos\varphi \sin\varphi} \cdot \frac{1}{h_1 \, \pi_\dot{m}}$$ $$\text{and}$$ $$c_0 = c_1 \sqrt{\frac{h_1}{h_0}} \left(\frac{T_z}{T_0}\right)^{c_2} \frac{n^{c_3}}{\pi_\dot{m}}$$
with c1=0.08367, c2=0.7067 and c3=0.344
Longitudinal mixing ratio
The longitudinal mixing ratio $\sigma^2$ is calculated as follows
$$\sigma^2 = 1 + \exp(c_1 \Theta_{min}^{c_2}) - \exp(c_3 \Theta_{min})$$
with the dimensionless minimum residence time $\Theta_{min} = \frac{t_{min}}{\bar{t}}$ and
| extruder type | c1 | c2 | c3 |
|---|---|---|---|
| melt extruder | 0.2476 | 0.6014 | 0.8301 |
| Conv. plasticising extruder | -4.8828 | 2.1287 | 0.0028505 |
| grooved barrel extruder | -2.368 | 1.1268 | 0.1186 |
Agglomerate size reduction
The agglomerate size reduction ratio $Z$ is calculated as follows:
$$Z=\left[ 1+\left( \frac{t}{c_{31}}\right)^{c_{21}}\left( ln\left( \frac{\tau}{\tau_{min}}\right)\right)^{1/c_{11}}\right]^{-1}$$
with the current shear stress $\tau$, the minimum shear stress $\tau_{min}$ and the three decay constants $c$. The minimum shear stress and the three decay constants are Material parameters. REX offers default values at the push of a button.