Unterschiede
Hier werden die Unterschiede zwischen zwei Versionen angezeigt.
| Beide Seiten der vorigen RevisionVorhergehende ÜberarbeitungNächste Überarbeitung | Vorhergehende Überarbeitung | ||
| en:scaleup_modul:scaleup_modul [2025/01/20 17:37] – neelest | en:scaleup_modul:scaleup_modul [2025/09/04 13:13] (aktuell) – [Theoretical principles] neelest | ||
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| Zeile 24: | Zeile 24: | ||
| You can define new variables for the target process that correspond to the requirements of the new machine or the new process. This provides flexibility to adapt the process to different machines or requirements. | You can define new variables for the target process that correspond to the requirements of the new machine or the new process. This provides flexibility to adapt the process to different machines or requirements. | ||
| - | If the target process contains a degassing zone, the scale-up module offers the option of calculating a modified length of the screw including the degassing zone (see [[en:scaleup_module:scaleup_module#Modified length of degassing zones|]]) | + | If the target process contains a degassing zone, the scale-up module offers the option of calculating a modified length of the screw including the degassing zone (see [[en:scaleup_modul:scaleup_modul#Modified length of degassing zones|]]). |
| ====Creating and simulating the scaled process==== | ====Creating and simulating the scaled process==== | ||
| Zeile 60: | Zeile 60: | ||
| |kappa | $\kappa$ | viscosity shear rate exponent | $\kappa = -log\left( \frac{\eta}{\eta_0}\right) \bigg/ log\left( \frac{\dot{\gamma}}{\dot{\gamma}_0}\right)$| | |kappa | $\kappa$ | viscosity shear rate exponent | $\kappa = -log\left( \frac{\eta}{\eta_0}\right) \bigg/ log\left( \frac{\dot{\gamma}}{\dot{\gamma}_0}\right)$| | ||
| |Xi | $\xi$ | mass temperature exponent | $\xi = -log\left( \frac{\vartheta}{\vartheta_0}\right) \bigg/ log\left( \frac{\dot{\gamma}}{\dot{\gamma}_0}\right)$| | |Xi | $\xi$ | mass temperature exponent | $\xi = -log\left( \frac{\vartheta}{\vartheta_0}\right) \bigg/ log\left( \frac{\dot{\gamma}}{\dot{\gamma}_0}\right)$| | ||
| - | |Omega| $\omega$ | length exponent | $\omega= log\left( | + | |Omega| $\omega$ | length exponent | $\omega= log\left( \frac{\frac{L}{D}}{\left( \frac{L}{D}\right)_0}\right) \bigg/ log\left( \frac{D}{D_0}\right)$| |
| with | with | ||
| Zeile 95: | Zeile 95: | ||
| |$\Psi=\frac{2-\kappa}{4-3\kappa+2\xi}$| | |$\Psi=\frac{2-\kappa}{4-3\kappa+2\xi}$| | ||
| |$\chi=\frac{\Psi(2+\xi)-1}{1-\xi}$ (smooth tube extruder) | | |$\chi=\frac{\Psi(2+\xi)-1}{1-\xi}$ (smooth tube extruder) | | ||
| - | |$\chi=\frac{\Psi(1+2\xi)-\xi}{1-\xi}$ (Nutbuchsenextruder) | | + | |$\chi=\frac{\Psi(1+2\xi)-\xi}{1-\xi}$ (grooved barrel extruder) | |
| ^ Case 4: Diameter equal, constant heat flux density^ | ^ Case 4: Diameter equal, constant heat flux density^ | ||