Rotation, core

Side cores rotate inwards to complete forming... 

All of the data in Fig 7.5 were analyzed using linear regression. The summation of the helix and core-regressed flow rates are plotted in Fig. 7.5 as the red dotted line. The experimental superposition for the flows induced by the screw elements essentially overlaid the regression line for the screw configuration rate. Thus, it was concluded that the helix is the pump in the single-screw extruder, and core rotation reduces the flow by dragging the fluid back toward the extruder inlet. 

Helix as pump Core rotates opposite of helix rotation b) c)... 

Figure 7.6 Effect of screw elements to pump against a constant head pressure [5] a) the screw as the pump with the fill position 5 diameters from the exit, b) the helix only as the pump with the fill position 4 diameters from the exit, and c) the core rotating in the opposite direction (forwarding) and the helix moving in the standard operation with the fill position at 3 diameters from the exit...

The dissipation due to the pressure flow and the screw core rotation is then ... 

A7.1.2.1 z-Directional Flow Generalized Equation for Screw, Barrel, and Core Rotations... 

Starting with Eq. A7.7, the following boundary conditions are defined for generalized screw, barrel, or core rotations ... 

Equation A7.50 is the generalized velocity in the z direction due to any combination of barrel rotation and screw core rotation in the transformed reference frame. 

The development of the z-directional flow due to the motion of the screw core with a stationary barrel and stationary helix starts from Eq. A7.50. As discussed in Section A7.1.2.1, Eq. A7.50 was developed for generalized motion of the top and bottom surfaces. For the core rotation case here, N, and are 0, and the first term in... 

The rate of work contribution from screw core rotation for driven flow in the z direction is calculated as follows ... 

Figure 14. Magnified central part of the Rydberg spectrum of C6D6 shown in Fig. 13. The filled circles indicate the positions for two Rydberg series converging to different core rotational states of the ion.

In all cases a two-color multiphoton process is used to excite the molecules to the high-n Rydberg states. In the remainder of this text we use a primed notation to refer to the transitions from the ground state to the intermediate state (e.g., O branch, O branch, etc.), whereas an unprimed notation is used for transitions from the intermediate state J to the Rydberg states with core rotation quantum number for example, 5(2) implies the transition J = 2- N+ = 4, whereas S (2) implies J" = 2 — J = 4. 

Fig. 3. Core torque related to channel length versus angular velocity of core rotation (O) at different specific molding pressures (MPa/m) 1-5 2-30 3-45 4-60...

Fig. 4. Volumetric flow rate of molten polypropylene versus angular velocity of core rotation at different values of specific pressure difference f, (MPa/m) specified on the curves. Continuous curves have been calculated from equations (11)—(16) using numerical methods, dashed curves have been calculated from asymptotic formulae (17)—(19)...

Fig. 6. Total theoretical power consumption for extrusion of molten polypropylene and core rotation in the head as a function of core s speed at different specific pressures in the molding head 1 — 5 2 — 15 3 — 30 4 - 45 5 - 60...

Fig. 10. Pressure/flow-rate characteristics ( tentative flow curves ) of angular circular extrusion head (the design is given in Fig. 8) in molding of polypropylene with MFI = 0.5 g/10 min under conditions of core rotation at a speed of, min-1 1 — 0 2 — 10 3 — 20 4 - 30 5 — 40 6 — 50 7 - 60 8 - 70...

Fig. 13. Effect of core rotation according to the pattern given in Fig. 9 a upon critical shear velocities in polypropylene D r — the first critical velocity at which minor roughness occurs on the surface of the extrudate D" is the second critical velocity at which the extrudate features large-scale distortions, corrugation, roughness...

Fig. 14a-c. Effect of core rotation on the power consumption of the extrusion plant manufacturing polypropylene tube blanks a — power consumed for screw rotation (Ns) b — total power consumption of the plant (NfM) c — total power consumption calculated per unit of product s mass (q). Speed of core rotation, min-1 — 0 2 — 10 J — 20 4 — 30 5 - 40 6 — 50 7 — 60 8 - 70... 

Pt4 Cluster Core Rotation and Chelate,Bridge Mutual Isomerization Pyridine Ring Rotation... 

In each step 1 to 3, the quartimax algorithm [Carroll 1953, Ferguson 1954, Neuhaus Wrigley 1954] is applied to the matricized core to provide an update of one of the core rotation matrices. The quartimax algorithm is available in most statistical packages. 

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