Christian Marschik, Wolfgang Roland, Michael Kommenda,
"Extended melt-conveying models for single-screw extruders: Integrating domain knowledge into symbolic regression"
, in Polymer Engineering and Science, Vol. 63, Nummer 11, Wiley, 8-2023, ISSN: 0032-3888
Original Titel:
Extended melt-conveying models for single-screw extruders: Integrating domain knowledge into symbolic regression
Sprache des Titels:
Englisch
Original Kurzfassung:
The literature provides several analytical approximation methods for predicting
the flow of non-Newtonian fluids in single-screw extruders. While these
are based on various flow conditions, they were developed mostly for extruder
screws with standard geometries. We present novel analytical melt-conveying
models for predicting the flow and dissipation rates of fully developed flows of power-law fluids within three-dimensional screw channels. To accommodate a
broad range of industrial screw designs, including both standard and high-performance screws, the main intention of this work was to significantly
extend the scope of existing theories. The flow equations were first rewritten in a dimensionless form to reduce the mathematical problem to its dimensionless
influencing parameters. These were varied within wide ranges to create a set
of physically independent modeling setups, the flow and dissipation rates of
which were evaluated by means of a finite-volume solver. The numerical
results were then approximated analytically using symbolic regression based
on genetic programming. To support the regression analysis in finding accurate
solutions, we integrated domain-specific process knowledge in the preprocessing
of the dataset. We obtained three regression models for predicting the
flow and dissipation rates in melt-conveying zones and tested their accuracy
successfully against an independent set of numerical solutions.