Unterschiede
Hier werden die Unterschiede zwischen zwei Versionen angezeigt.
| Beide Seiten der vorigen RevisionVorhergehende Überarbeitung | |||
| en:grundlagenhandbuch:symbole_und_formelzeichen:lateinische_symbole [2026/01/28 11:15] – deppe2 | en:grundlagenhandbuch:symbole_und_formelzeichen:lateinische_symbole [2026/01/28 11:16] (aktuell) – gelöscht deppe2 | ||
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| Zeile 1: | Zeile 1: | ||
| - | ====== Latin Symbols ====== | ||
| - | ===== Latin Symbols ===== | ||
| - | |||
| - | ^ Symbol ^ Meaning ^ | ||
| - | | $A,B,C$ | Coefficients of the Carreau Law | | ||
| - | | $A$ | Overall cross section of the screw channel | | ||
| - | | $A$ | Parameter for the temperature calculation in the melt film | | ||
| - | | $A_{1-4}$ | Area | | ||
| - | | $A_{1-4}$ | Variables for the calculation of the starting temperature profile | | ||
| - | | $A_{\Delta}$ | Area of the triangular gap between kneading discs | | ||
| - | | $A_f$ | Filled cross section within a screw channel | | ||
| - | | $A_{fr}$ | Free cross section | | ||
| - | | $A_{Pr}$ | Cross section of the screw profile | | ||
| - | | $\overline{A_{zw}}$ | Average free surface in the intermeshing region | | ||
| - | | $A_{Zyl}$ | Cross sectional area of the barrel | | ||
| - | | $B$ | Variables for the calculation of the starting temperature profile | | ||
| - | | $C$ | Machine constant | | ||
| - | | $C_{x, | ||
| - | | $D$ | Inner barrel diameter | | ||
| - | | $D_F$ | Pressure screen value | | ||
| - | | $D_N$ | Nominal screw diameter | | ||
| - | | $D_S$ | Outer screw diameter | | ||
| - | | $E$ | Extensive material data | | ||
| - | | $F$ | Distribution function | | ||
| - | | $F$ | Factor | | ||
| - | | $F$ | Screen area | | ||
| - | | $\Delta H$ | Difference of enthalpies | | ||
| - | | $K$ | Coefficient of the power law | | ||
| - | | $K_{Spalt}$ | Coefficient of the power law in the clearance | | ||
| - | | $K_{Kanal}$ | Coefficient of the power law in the channel | | ||
| - | | $K_{0T}$ | Consistency | | ||
| - | | $L$ | Axial length, screw length | | ||
| - | | $L_{Ele}$ | Axial length of the pair of screw elements | | ||
| - | | $L_{ei}$ | Axial length of the intermeshing region | | ||
| - | | $L_{fr}$ | Axial length of the free channel section | | ||
| - | | $L_{Kn}$ | Overall axial length of the kneading blocks | | ||
| - | | $L_R$ | Axial backpressure length | | ||
| - | | $L_{Zw}$ | Axial length of the intermeshing area | | ||
| - | | $M_{1,2}$ | Centerpoints | | ||
| - | | $M_D$ | Torque | | ||
| - | | $M_{D\%}$ | Proportional torque | | ||
| - | | $P$ | Power | | ||
| - | | $P_{1-3}$ | Power in the functional sections | | ||
| - | | $P_{1-4}, P_{M1-M4}$ | Points | | ||
| - | | $P_{Ma., | ||
| - | | $P_{Ve., | ||
| - | | $S$ | Specific energy input | | ||
| - | | $S_{Ma}$ | Overall specific energy input of the entire machine | | ||
| - | | $S_{Ve}$ | Specific energy input in the processing unit | | ||
| - | | $T$ | Temperature | | ||
| - | | $T_{A,E}$ | Temperature at the beginning, end | | ||
| - | | $T_B,T_0$ | Reference temperature | | ||
| - | | $T_i$ | Mass temperature at the location i | | ||
| - | | $T_F$ | Solids temperature | | ||
| - | | $T_1$ | Reference temperature | | ||
| - | | $T_{Fl}$ | Flow temperature | | ||
| - | | $T_G$ | Glass transition temperature | | ||
| - | | $T_K$ | Crystalline melt temperature | | ||
| - | | $T_M, \overline{T}, | ||
| - | | $T_{M,0-5}$ | Mass temperature at the location 0-5 | | ||
| - | | $T_S$ | Melt temperature | | ||
| - | | $\overline{T_{Start}}$ | Average start temperature | | ||
| - | | $T_Z$ | Barrel temperature | | ||
| - | | $T_{Z,1-5}$ | Barrel temperature at the location 1-5 | | ||
| - | | $U_{max}$ | Maximum wetted circumference ($s_R = 0$) | | ||
| - | | $U_{min}$ | Minimum wetted circumference ($s_R = 0$) | | ||
| - | | $\overline{U}$ | Average wetted circumference ($s_R = 0$) | | ||
| - | | $U(\Theta^*)$ | Wetted circumference dependent on the screw position $\Theta^*$ ($s_R = 0$) | | ||
| - | | $\dot{V}$ | Volumetric flow rate | | ||
| - | | $\dot{V}_{ei}$ | Volumetric flow rate in the intermeshing region | | ||
| - | | $\dot{V}_{fr1, | ||
| - | | $\dot{V}_{Leck}$ | Volumetric leakage flow rate | | ||
| - | | $\dot{V}_{Kanal}$ | Volumetric flow rate in the screw channel | | ||
| - | | $\dot{V}_p$ | Pressure flow | | ||
| - | | $V_{real}$ | Realistic free volume | | ||
| - | | $V_{theor}$ | theoretical free volume | | ||
| - | | $\dot{V}_S$ | Drag flow rate | | ||
| - | | $\dot{V}_{Steg}$ | Leakage flow rate | | ||
| - | | $\dot{V}_x$ | Volumetric flow rate in x - direction | | ||
| - | | $\dot{V}_z$ | Volumetric flow rate in z – direction | | ||
| - | | $V_{Zw}$ | Average volume of the intermeshing region | | ||
| - | | $X$ | Concentration of the additive | | ||
| - | | $X$ | Width of the solid bed | | ||
| - | | $X$ | Ratio of element length and lead | | ||
| - | | $X_{1,2}$ | Width of the solid bed | | ||
| - | | $Y_1$ | Parameter of the pressure-throughput equation | | ||
| - | | $Y_2$ | Parameter of the pressure-throughput equation | | ||
| - | | $Z$ | Degree of Dispersion | | ||
| - | | $Z_{ei}$ | Unwound length of the intermeshing region | | ||
| - | | $Z_{fr}$ | Unwound length of the channel region | | ||
| - | | $Z,z$ | Cartesian coordinate (channel direction), length | | ||
| - | | $a$ | Centreline distance | | ||
| - | | $a_{1,2}$ | Constants | | ||
| - | | $a_T$ | Temperature shift factor | | ||
| - | | $b$ | Channel width | | ||
| - | | $\overline{b}, | ||
| - | | $b$ | Width of the residence time distribution | | ||
| - | | $b_i$ | Width of the screw channel in the section i | | ||
| - | | $b_{max}$ | Maximum channel width | | ||
| - | | $b_{SF}$ | Width of the melt film | | ||
| - | | $b_{Steg}$ | Length of the flight | | ||
| - | | $b_{SW}$ | Width of the melt pool | | ||
| - | | $\overline{c}$ | Average concentration | | ||
| - | | $c, c'$ | Constant for the melting calculation | | ||
| - | | $\Delta c_0$ | Change in concentration | | ||
| - | | $c_{1-4}$ | Parameters of the Weibull – distribution | | ||
| - | | $c_{1-3}$ | Constants of throughput equation | | ||
| - | | $c_p$ | Specific heat capacity at a constant pressure | | ||
| - | | $c_{p,0}$ | Specific heat capacity at 0°C | | ||
| - | | $c_{p,m}$ | Pitch of the linear regression of the specific heat capacity (melt regime) | | ||
| - | | $e$ | Width of the flights | | ||
| - | | $e_{max}$ | Maximum width of the flights | | ||
| - | | $f$ | Filling degree | | ||
| - | | $\overline{f}$ | Average filling degree of a pair of screw elements | | ||
| - | | $f$ | Probability density function | | ||
| - | | $f_i$ | Filling degree at the location i | | ||
| - | | $f_1$ | Dimensionless value for the throughput model | | ||
| - | | $f_{l, | ||
| - | | $f_{r, | ||
| - | | $f_{Korr}$ | Volume correction factor | | ||
| - | | $h$ | Channel height | | ||
| - | | $\overline{h}, | ||
| - | | $h_i$ | Channel height at the location i | | ||
| - | | $h_{max}$ | Maximum channel height | | ||
| - | | $h(\Theta)$ | Channel depth in polar coordinates | | ||
| - | | $h(x)$ | Channel depth in Cartesian coordinates | | ||
| - | | $\Delta h_0$ | Difference of enthalpies at reference temperature $T_0$ | | ||
| - | | $\Delta h_l$ | Pitch of the linearised enthalpy difference (melt regime) | | ||
| - | | $\Delta h$ | Difference of enthalpies | | ||
| - | | $\Delta h_A$ | Melting enthalpy | | ||
| - | | $\Delta h_F$ | Solid enthalpy | | ||
| - | | $i$ | Counter variable | | ||
| - | | $i$ | Number of flights | | ||
| - | | $j$ | Counter variable | | ||
| - | | $j_\Delta$ | Number of triangular gaps in a kneading block | | ||
| - | | $j_{Kn,j}$ | Number of kneading discs | | ||
| - | | $k$ | Number of parallel channels in the channel model | | ||
| - | | $k_i$ | Number of parallel channels in the channel model for element i | | ||
| - | | $k_1, k_2$ | Constants | | ||
| - | | $m$ | Average shape factor for the intermeshing region | | ||
| - | | $m$ | Geometric value | | ||
| - | | $\dot{m}$ | Mass throughput | | ||
| - | | $\dot{m}_D$ | Mass throughput in the pressure screen | | ||
| - | | $m$ | Mass in the screw channels | | ||
| - | | $m_A$ | Mass in the screw channels in the melting regime | | ||
| - | | $m_F$ | Mass in the screw channels in the solids conveying regime | | ||
| - | | $m_S$ | Mass in the screw channels in the melt conveying regime | | ||
| - | | $n$ | Power law exponent | | ||
| - | | $n_{Spalt}$ | Power law exponent in the radial clearance | | ||
| - | | $n_{Kanal}$ | Power law exponent in the free channel section | | ||
| - | | $n_0$ | Screw speed | | ||
| - | | $p$ | Pressure | | ||
| - | | $p_D$ | Pressure in front of the screen pack | | ||
| - | | $p_i$ | Pressure at the location i | | ||
| - | | $p_{max}$ | Maximum radial pressure | | ||
| - | | $p_{1-5}$ | Pressure at the location 1-5 | | ||
| - | | $p_0$ | Zero pressure | | ||
| - | | $p_{0-4}$ | Pressure at the location 0-4 | | ||
| - | | $p_W$ | Die back pressure | | ||
| - | | $\Delta p_x$ | Pressure difference in x-direction | | ||
| - | | $p_x$ | Pressure gradient in x-direction | | ||
| - | | $s_F$ | Tip clearance | | ||
| - | | $s_R$ | Radial clearance | | ||
| - | | $s_{RKorr}$ | Corrected radial clearance | | ||
| - | | $s_W$ | Calander gap | | ||
| - | | $t$ | Lead | | ||
| - | | $t,t_M$ | Time, measuring time | | ||
| - | | $\overline{t}$ | Average residence time | | ||
| - | | $t_0$ | Dead time | | ||
| - | | $t_1$ | Minimum residence time | | ||
| - | | $t_{1i}$ | Minimum residence time in the element i | | ||
| - | | $u$ | Counter variable | | ||
| - | | $v$ | Velocity | | ||
| - | | $v$ | Specific volume | | ||
| - | | $v_{rel}$ | Relative velocity | | ||
| - | | $v_y$ | Velocity in y-direction | | ||
| - | | $v_0$ | Circumferential velocity of the screws | | ||
| - | | $v_{0x}$ | Circumferential velocity of the screws in x-direction | | ||
| - | | $v_{0z}$ | Circumferential velocity of the screws in z-direction | | ||
| - | | $v_{Fz}$ | Velocity of the solid bed | | ||
| - | | $\overline{v_{Fz}}$ | Average velocity of the solid bed | | ||
| - | | $v_j$ | Velocity of the screws in j-direction | | ||
| - | | $v_x$ | Velocity of the screws in x-direction | | ||
| - | | $v_z$ | Velocity of the screws in z-direction | | ||
| - | | $w$ | Distance between the points of inflection of the residence time distribution | | ||
| - | | $x$ | Cartesian coordinate orthogonal to the channel direction | | ||
| - | | $x_f$ | Position of the melt interface in the screw channel | | ||
| - | | $x_{pmax}$ | Maximum radial pressure | | ||
| - | | $y$ | Dimensionless solid bed width | | ||
| - | | $y_j$ | Averaged dimensionless solid bed width for the element j | | ||
| - | | $z_j$ | Length of the unwound channel for the element j | | ||