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HANSER Hanser Publishers, Munich • Hanser Gardner Publications ...

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The relation of a slit is<br />

H = height of slit<br />

ya = shear rate according to Equation 5.10<br />

5.1.1.6 Adapting Die Design to Avoid Melt Fracture<br />

(5.21)<br />

Melt fracture can be defined as an instability of the melt flow leading to surface or volume<br />

distortions of the extrudate. Surface distortions [34] are usually created from instabilities<br />

near the die exit, while volume distortions [34] originate from the vortex formation at<br />

the die entrance. Melt fracture caused by these phenomena limits the production of articles<br />

manufactured by extrusion processes. The use of processing additives to increase the<br />

output has been dealt with in a number of publications given in [35]. However, processing<br />

aids are not desirable in applications such as pelletizing and blow molding. Therefore,<br />

the effect of die geometry on the onset of melt fracture was examined.<br />

The onset of melt fracture with increasing die pressure is shown for LDPE and HDPE in<br />

Figure 5.3 [38]. As can be seen, the distortions appear differently depending on the resin.<br />

The volume flow rate is plotted in Figure 5.4 [39] first as a function of wall shear stress<br />

and then as a function of pressure drop in the capillary for LDPE and HDPE. The sudden<br />

increase in slope is evident for LDPE only when the flow rate is plotted against pressure,<br />

whereas in the case of HDPE it is the opposite. In addition, for HDPE the occurrence of<br />

melt fracture depends on the ratio of length L to diameter D of the capillary. The effect<br />

of temperature on the onset of melt fracture is shown in Figure 5.5 [36]. With increasing<br />

temperature the onset of instability shifts to higher shear rates. This behavior is used in<br />

practice to increase the output. However, exceeding the optimum processing temperature<br />

can lead to a decrease in the quality of the product in many processing operations. From<br />

these considerations it can be seen that designing a die by taking the resin behavior into<br />

account is the easiest method to obtain quality products at high throughputs.<br />

Design procedure<br />

Using the formulas given in this book and in reference [33], the following design procedure<br />

has been developed to suit the die dimensions to the melt flow properties of the resin to<br />

be processed with the die.<br />

STEP 1: Calculation of the shear rate in the die channel<br />

STEP 2: Expressing the measured viscosity plots by a rheological model<br />

STEP 3: Calculation of the power law exponent<br />

STEP 4: Calculation of the shear viscosity at the shear rate in Step 1<br />

STEP 5: Calculation of the wall shear stress<br />

STEP 6: Calculation of the factor of proportionality<br />

STEP 7: Calculation of die constant

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