We analytically made a close examination of the usual methods extruding melt through a circular nozzle, the very important ones to obtain flow characteristics of molten high polymers. We proposed a new method and investigated it by measuring the pressure distribution along the wall of the nozzle.
When polypropylene on the market was extruded through the nozzle of 2mm/diameter at 188, the pressure distribution along the wall of the nozzle become a smooth curve in most parts except the downstream region which reached to: equilibrium state. When we calculated the shearing stress at the wall of the nozzle, R, by the following formula:_??_R: radius of the nozzle
ξ: pressure grade along the wall of the nozzle
the value almost coincided with that of Bagley's method for the end effect correction.
Moreover the experimental existence of the pressure acting on the wall at the end, P
RL.showed analytically that the normal stress difference along the wall of the nozzle, (Δσ
11) R could be approximately calculated by the formula:(Δσ
11) R=P
RL (1+
dln P
RL/2
dlnτR). The value of (Δσ
11) R, according to this method, is a little less than that of Philipoff's method and much more than that of Metzner's. When we calculated the internal recoverable strain, S, it abruptly approached to the constant value (s≈13) after the melt fracture had begun.
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