Daniel Herzog, Wolfgang Roland, Christian Marschik, Gerald Roman Berger-Weber,
"Generalized predictions of the pumping characteristics and viscous dissipation of single-screw extruders including three-dimensional curvature effects"
, in Polymer Engineering and Science, Vol. 64, Nummer 11, Wiley, Seite(n) 5566-5587, 9-2024, ISSN: 0032-3888
Original Titel:
Generalized predictions of the pumping characteristics and viscous dissipation of single-screw extruders including three-dimensional curvature effects
Sprache des Titels:
Englisch
Original Kurzfassung:
Reliable predictions of the flow rate and viscous dissipation in the melt conveying zone of single-screw extruders are crucial for designing high-quality
and efficient extrusion processes. Full-scale computational fluid dynamics simulations offer deep insights into the process, but they cover only specific use cases. Conversely, state-of-the-art analytical approximation models suffer from a systematic error by neglecting channel curvature. To overcome these limitations, we employed a hybrid modeling approach that efficiently combines analytical, numerical, and data-based techniques. First, the mathematical problem was formulated for a three-dimensional, isothermal Stokes flow of power-law fluids in curved channel segments of unit length, and the theory of similarity was applied to render it in a dimensionless form. Using the finite-volume method, the flow problem was then solved numerically for a wide range of
extrusion setups. Finally, by means of symbolic regression and genetic programming, three dimensionless approximation equations were derived from
the numerical dataset. These regression models provide continuous and
remarkably accurate predictions of both flow rate and viscous dissipation rate,
and clearly outperform existing approximations due to the included effects of
channel curvature. Implemented within screw design software, our novel
regression models will enable faster progress in screw design and process
troubleshooting.
Forschungs-