Abstract
Numerous analyses have modeled the flow of polymer melts in the melt-conveying zones of single-screw extruders. While initial studies mainly provided exact analytical results for combined drag and pressure flows of Newtonian fluids, more recently developed, numerical methods seek to deepen the understanding of more realistic flow situations that include shear-thinning and non-isothermal effects. With the advent of more powerful computers, considerable progress has been made in the modeling and simulation of polymer melt flows in single-screw extruders. This work reviews the historical developments from a methodological point of view, including (1) exact analytical, (2) numerical, and (3) approximate methods. Special attention is paid to the mathematical models used in each case, including both governing flow equations and boundary conditions. In addition, the literature on leakage flow and curved-channel systems is revisited.
Highlights
Over the past century, the technical progress of extruders in polymer processing has gone hand in hand with extensive theoretical and experimental research summarized in numerous books [1–18] and reviews [19–24]
Rather than tracing the developments in the modeling and simulation of polymer extrusion in general, the purpose of this review is to address the main progress in the mathematical analysis of melt conveying in single-screw extruders
The results showed that the melt temperatures are lower in the flight clearance than in the screw channel, since the high level of viscous heat generated in the clearance is conducted away to the barrel due to its close proximity
Summary
The technical progress of extruders in polymer processing has gone hand in hand with extensive theoretical and experimental research summarized in numerous books [1–18] and reviews [19–24]. Rather than tracing the developments in the modeling and simulation of polymer extrusion in general, the purpose of this review is to address the main progress in the mathematical analysis of melt conveying in single-screw extruders. This functional step has received significant attention in the extrusion literature since the first theories describing screw viscosity pumps were formulated in the 1920s. With the continuous development of more advanced computers, numerous melt-conveying models of increasing complexity and accuracy have been presented
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