Startseite Predicting the Non-Linear Conveying Behavior in Single-Screw Extrusion: A Comparison of Various Data-Based Modeling Approaches used with CFD Simulations
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Predicting the Non-Linear Conveying Behavior in Single-Screw Extrusion: A Comparison of Various Data-Based Modeling Approaches used with CFD Simulations

  • W. Roland , C. Marschik , M. Kommenda , A. Haghofer , S. Dorl und S. Winkler
Veröffentlicht/Copyright: 16. November 2021
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International Polymer Processing
Aus der Zeitschrift International Polymer Processing Band 36 Heft 5

Abstract

The traditional approach to modeling the polymer melt flow in single-screw extruders is based on analytical and numerical analyses. Due to increasing computational power, data-driven modeling has grown significantly in popularity in recent years. In this study, we compared and evaluated databased modeling approaches (i. e., gradient-boosted trees, artificial neural networks, and symbolic regression models based on genetic programming) in terms of their ability to predict – within a hybrid modeling framework – the three-dimensional non-linear throughput-pressure relationship of metering channels in single-screw extruders. By applying the theory of similarity to the governing flow equations, we identified the characteristic dimensionless influencing parameters, which we then varied to create a large dataset covering a wide range of possible applications. For each single design point we conducted numerical simulations and obtained the dimensionless flow rate. The large dataset was divided into three independent sets for training, interpolation, and extrapolation, the first being used to generate and the remaining two to evaluate the models. Further, we added two features derived from expert knowledge to the models and analyzed their influence on predictive power. In addition to prediction accuracy and interpolation and extrapolation capabilities, we evaluated model complexity, interpretability, and time required to learn the models. This study provides a rigorous analysis of various data-based modeling approaches applied to simulation data in extrusion.

Wolfgang Roland, Institute of Polymer Extrusion and Compounding, Johannes Kepler University Linz, Altenbergerstraße 69, 4040 Linz, Austria

Acknowledgements

This research was funded by the Austrian Science Fund (FWF), grant number: I 4872-N. The authors additionally acknowledge support from the Christian Doppler Research Association and the Federal Ministry for Digital and Economic Affairs under the aegis of the Josef Ressel Center for Symbolic Regression.

The computational results presented were achieved in part by using the Vienna Scientific Cluster (VSC).

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Appendix

The best performing symbolic regression model is given by:

(34) ΠV(Πp,Z,n,t/Db,h/w)=a00+a01ea02 F1+A1( A2+A3)+A4 A5.

with the sub-functions:

(35) A1=a03 ea04h/w+a05Πp,z−a06( e a07F2+a08h/w+a09n+a10Πp,z )n,
(36) A2=a11(ea12Πp,z+a13n)(a14 h/w+Πp,z)+a21 h/w         +a22 n + a23 Πp,z,
(37) A3=−ea14F2−ea16h/w−e−a17ea18t/Db+a19F1+a20Πp,2n
(38) A4=a24e(ea25h/w+a26Πp,z)(a27F1+a28Πp,z)+a29 Πp,z
(39) A5=a30+ea31t/Db(ea32h/w+a33Πp,znA6+a34 t/Db),
(40) A6=a35+eea36t/Db(a37h/w+a38Πp,2)+a39F1+a40n + a41t/Db.

The derived features F1 and F2 are according to Eqs. 31 and 32, respectively. The model coefficients are given by Table 8.
Received: 2021-02-02
Accepted: 2021-04-24
Published Online: 2021-11-16

© 2021 Walter de Gruyter GmbH, Berlin/Boston, Germany

Artikel in diesem Heft

  1. Contents
  2. Review article
  3. Control Strategies for Reactive Extrusion of Polypropylene by Peroxide Degradation A Brief Review and an Experimental Study
  4. Regular Contributed Articles
  5. Morphology and Tensile Properties as a Function of Welding Current in Thermoplastic Induction Welds
  6. Numerical Simulation of Fluid Flow and Mixing Dynamics inside Planetary Roller Extruders
  7. Synergistic Flame-Retardant Effect of Aluminum Diethyl Phosphinate in PP/IFR System and the Flame-Retardant Mechanism
  8. Predicting the Non-Linear Conveying Behavior in Single-Screw Extrusion: A Comparison of Various Data-Based Modeling Approaches used with CFD Simulations
  9. Influence of Crystal Structure on Thermo-Mechanical Properties of Injection Molded 𝛃-Nucleated iPP
  10. An Experimental Study on the Properties of Recycled High-Density Polyethylene
  11. Improvement of Mechanical and Biological Properties of PLA/HNT Scaffolds Fabricated by Foam Injection Molding: Skin Layer Effect and Laser Texturing
  12. Relationship between Molecular Orientation Relaxation during Physical Aging and Heat Resistance of Polystyrene Injection Moldings
  13. Recycling of Bagasse as an Agricultural Waste and its Effect as Filler on Some Mechanical and Physical Properties of SBR Composites
  14. Use of Image Analysis for Non-Destructive Testing of Thermoformed Food Packages
  15. Process Influences in the Combined Compacting and Back-Injection Process to Produce Back-Injected Self-Reinforced Composites (SRCs) – Analysis via Multiple Regression Modelling
  16. Utilizing Pyrolytic Biomass Products for Rubber Reinforcement: Effect of the Silica Content in Biomass Feed Stocks
  17. PPS News
  18. Seikei-Kakou abstracts
  19. PPS Membership application
https://doi.org/10.1515/ipp-2020-4094

Artikel in diesem Heft

  1. Contents
  2. Review article
  3. Control Strategies for Reactive Extrusion of Polypropylene by Peroxide Degradation A Brief Review and an Experimental Study
  4. Regular Contributed Articles
  5. Morphology and Tensile Properties as a Function of Welding Current in Thermoplastic Induction Welds
  6. Numerical Simulation of Fluid Flow and Mixing Dynamics inside Planetary Roller Extruders
  7. Synergistic Flame-Retardant Effect of Aluminum Diethyl Phosphinate in PP/IFR System and the Flame-Retardant Mechanism
  8. Predicting the Non-Linear Conveying Behavior in Single-Screw Extrusion: A Comparison of Various Data-Based Modeling Approaches used with CFD Simulations
  9. Influence of Crystal Structure on Thermo-Mechanical Properties of Injection Molded 𝛃-Nucleated iPP
  10. An Experimental Study on the Properties of Recycled High-Density Polyethylene
  11. Improvement of Mechanical and Biological Properties of PLA/HNT Scaffolds Fabricated by Foam Injection Molding: Skin Layer Effect and Laser Texturing
  12. Relationship between Molecular Orientation Relaxation during Physical Aging and Heat Resistance of Polystyrene Injection Moldings
  13. Recycling of Bagasse as an Agricultural Waste and its Effect as Filler on Some Mechanical and Physical Properties of SBR Composites
  14. Use of Image Analysis for Non-Destructive Testing of Thermoformed Food Packages
  15. Process Influences in the Combined Compacting and Back-Injection Process to Produce Back-Injected Self-Reinforced Composites (SRCs) – Analysis via Multiple Regression Modelling
  16. Utilizing Pyrolytic Biomass Products for Rubber Reinforcement: Effect of the Silica Content in Biomass Feed Stocks
  17. PPS News
  18. Seikei-Kakou abstracts
  19. PPS Membership application
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