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Greek Symbols
Greek Symbols
| Symbol | Meaning |
|---|---|
| $\alpha$ | Staggering angle of the kneading discs |
| $\beta$ | Temperature shift factor (Arrhenius law) |
| $\dot{\gamma}$ | Shear rate |
| $\dot{\gamma}_{min}$ | Minimum shear rate |
| $\dot{\gamma}_{max}$ | Maximum shear rate |
| $\overline{\delta}$ | Average thickness of the melt film |
| $d$ | Thickness of the melt film |
| $\overline{\delta_0}$ | Average initial thickness of the melt film |
| $\delta_0$ | Initial thickness of the melt film |
| $\varepsilon$ | Accuracy |
| $z$ | Dimensionless z-coordinate |
| $\eta$ | Melt viscosity |
| $\overline{\eta}$ | Average effectivity |
| $\eta_{Ge}$ | Effectivity of the gear box |
| $\eta_{Mo}$ | Effectivity of the motor |
| $\Theta$ | Polar coordinates |
| $\overline{\Theta}$ | Average dimensionless residence time ($\overline{\Theta} = 1$) |
| $\Theta$ | Dimensionless residence time ($\Theta = t / \overline{t}$) |
| $\Theta$ | Dimensionless temperature |
| $\Theta_0$ | Initial temperature |
| $\Theta_1$ | Minimum dimensionless residence time ($\Theta_1 = t_1 / \overline{t}$) |
| $\Theta_B$ | Dimensionless width of the residence time distribution |
| $\Theta_S$ | Self cleaning number |
| $\lambda_0$ | Thermal conductivity at $T_0$ (melt regime) |
| $\lambda_1$ | Slope of the linearized thermal conductivity (melt regime) |
| $\lambda$ | Thermal conductivity |
| $\xi$ | Dimensionless coordinate in y-direction |
| $\pi_{0,1}$ | Dimensionless number |
| $\pi_{geo}$ | Dimensionless geometrical number |
| $\pi_p$ | Dimensionless pressure gradient |
| $\pi_{pKanal}$ | Dimensionless pressure gradient in the channel |
| $\pi_{px}$ | Dimensionless pressure gradient in x direction |
| $\pi_{pSpalt}$ | Dimensionless pressure gradient in the radial clearance |
| $\pi_{pz}$ | Dimensionless pressure gradient in x direction |
| $\pi_{p,ges}$ | Dimensionless overall pressure gradient |
| $\pi_{p,Ele}$ | Dimensionless pressure gradient in a pair of elements |
| $\pi_{p,ei}$ | Dimensionless pressure gradient in the intermeshing region |
| $\pi_{p,fr}$ | Dimensionless pressure gradient in the free channels |
| $\pi^{\dot{V}}$ | Dimensionless flow rate |
| $\pi^{\dot{m}}$ | Dimensionless mass flow rate |
| $\pi^{\dot{V}}_{Kanal}$ | Dimensionless flow rate in the screw channel |
| $\pi^{\dot{V}}_x$ | Dimensionless flow rate in x-direction |
| $\pi^{\dot{V}}_{Spalt}$ | Dimensionless flow rate in the radial clearance |
| $\pi^{\dot{V}}_z$ | Dimensionless flow rate in z-direction |
| $\pi^{\dot{V}}_{Ele}$ | Dimensionless flow rate in a pair of screw elements |
| $\pi^{\dot{V}}_{ei}$ | Dimensionless flow rate in the intermeshing region |
| $\pi^{\dot{V}}_{fr}$ | Dimensionless flow rate in the free channels |
| $\rho_0$ | Density at reference temperature (melt regime) |
| $\rho_m$ | Slope of the density at reference temperature (melt regime) |
| $\rho, \rho_S$ | Density, bulk density |
| $\rho_{Schütti}$ | Bulk density at the element i |
| $\sigma^2$ | Variance of the residence time distribution |
| $\sigma_M$ | Axial mixing coefficient |
| $\overline{\sigma_M}$ | Average axial mixing coefficient |
| $\tau$ | Shear stress |
| $\overline{\tau}$ | Average shear stress |
| $\overline{\tau_W}$ | Average wall shear stress |
| $\tau_{0x}$ | Wall shear stress in x-direction |
| $\tau_{0z}$ | Wall shear stress in z-direction |
| $\tau_{yi,j}$ | Shear stress |
| $\Phi,\phi$ | Flight angle |
| $\Psi$ | Standardised melt film thickness |
| $\omega$ | Angular velocity |
| $\Omega$ | Intermeshing angle |
| $\phi_{1A},\phi_{2A}, \phi_{1F},\phi_{2F}, \phi_1,\phi_2, \phi_{1z},\phi_{2z}$ | Constants for the linearized throughput equation |
| $\varphi$ | Lead angle |
| $\varphi_S$ | Lead angle at the outer screw diameter |
| $\varphi_{S,Kn}$ | Characteristic lead angle at the outer diameter of kneading blocks |
| $\overline{\Psi}$ | Standardised thickness of the melt film |
| $\overline{\Psi_S}$ | To $\delta_0$ standardized radial clearance |
| $\Psi_S$ | To $\delta_0$ standardized radial clearance |
| $\Psi_{1,2}$ | Standardised thickness of the melt film |