Using Symbolic Regression Models to Predict the Pressure Loss of Non-Newtonian Polymer-Melt Flows through Melt-Filtration Systems with Woven Screens

Pachner, Sophie; Roland, Wolfgang; Aigner, Michael; Marschik, Christian; Stritzinger, Ursula; Miethlinger, Jürgen

doi:10.1515/ipp-2020-4019

Cited by 9 publications

(13 citation statements)

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“…The latter is an iterative population-based evolutionary algorithm, which creates a population of random mathematical models and refines them iteratively. The usefulness of the modeling approach was demonstrated in various polymer-processing problems [45][46][47][48][49][50].…”

Section: Symbolic Regression Analysismentioning

confidence: 99%

Application of Mixing Rules for Adjusting the Flowability of Virgin and Post-Consumer Polypropylene as an Approach for Design from Recycling

Traxler¹,

Marschik²,

Farthofer

et al. 2022

Polymers

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To enable the use of recyclates in thermoformed polypropylene products with acceptable optical appearance and good mechanical stability, a multilayer structure of virgin and recycled material can be used. When producing multilayer films with more than two layers, the used materials should have similar melt flow properties to prevent processing instabilities. In the case of a three-layer film, post-consumer recyclates are often hidden in the core layer. Due to the inconsistent melt flow properties of post-consumer recyclates, the adjustment of the melt flow properties of the core layer to those of the outer layers has to be realized by blending with virgin materials. In order to understand the effect of mixing with a virgin material with a certain pre-defined melt flow rate (MFR), material mixtures with different mixing partners from various sources were realized in this study. Hence, the pre-defined virgin material was mixed with (i) virgin materials, (ii) artificial recyclates out of a mixture of different virgin materials, and (iii) commercially available recyclates. These blends with mixing partner contents ranging from 0–100% in 10% increments were prepared by compounding and the MFR of each mixture was determined. For a mathematical description of the mixing behavior and furthermore for a proper MFR prediction of the material mix, existing mixing rules were tested on the three pre-defined sample groups. Therefore, this paper shows the applicability of different mixing rules for the prediction of the MFR of material blends. Furthermore, a new mixing rule was developed using symbolic regression based on genetic programming, which proved to be the most accurate predictive model.

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Section: Symbolic Regression Analysismentioning

confidence: 99%

Application of Mixing Rules for Adjusting the Flowability of Virgin and Post-Consumer Polypropylene as an Approach for Design from Recycling

Traxler¹,

Marschik²,

Farthofer

et al. 2022

Polymers

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“…Rather, the approach applies evolutionary computation methods to uncover mathematical relationships based on comprehensive datasets. The usefulness of this modeling approach was demonstrated for various polymer-processing problems [ 134 , 135 ].…”

Section: Approximate Methodsmentioning

confidence: 99%

Melt Conveying in Single-Screw Extruders: Modeling and Simulation

Marschik¹,

Roland

Osswald

2022

Polymers

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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.

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“…The prediction model we thus obtained has 27 model constants and can be written in mathematical form with seven subfunctions C 1 -C 7 , as given in Equation (26). The subfunctions and rounded model constants are listed in the Appendix.…”

Section: Prediction Modelsmentioning

confidence: 99%

“…Our research group has already successfully used such a hybrid modeling approach for various extrusion applications, ranging from single‐screw extrusion [ 20–24 ] to co‐extrusion flows [ 25 ] and melt filtration. [ 26,27 ]…”

Section: Introductionmentioning

confidence: 99%

Modeling melt conveying and power consumption of co‐rotating twin‐screw extruder kneading blocks: Part B. Prediction models

Stritzinger

Roland

Berger‐Weber

et al. 2023

Polymer Engineering & Sci

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Intermeshing co‐rotating twin‐screw extruders are very versatile because their screw configurations can be tailored both to the application and to the properties of the materials used. Finding the best screw configuration is one of the main purposes of twin‐screw extrusion modeling, and requires models that accurately predict conveying and power consumption. The better the process can be predicted, the better the requirements of the final product can be met. We present novel prediction models of the conveying and power‐consumption behaviors of intermeshing co‐rotating twin‐screw extruder kneading blocks for Newtonian fluids. These are based on numerical simulations and therefore consider the complex three dimensional (3D) geometry of this element type without the need for common simplifications. Our models are thus capable of including all leakage flows and gap influences, which are usually ignored, for example, by the flat‐plate model. Since our models are derived by symbolic regression based on genetic programming, they consist of algebraic functions and are low‐threshold. They can be used to calculate various process parameters for individual kneading blocks or entire screw configurations, as illustrated by a use case.

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Using Symbolic Regression Models to Predict the Pressure Loss of Non-Newtonian Polymer-Melt Flows through Melt-Filtration Systems with Woven Screens

Cited by 9 publications

References 0 publications

Application of Mixing Rules for Adjusting the Flowability of Virgin and Post-Consumer Polypropylene as an Approach for Design from Recycling

Application of Mixing Rules for Adjusting the Flowability of Virgin and Post-Consumer Polypropylene as an Approach for Design from Recycling

Melt Conveying in Single-Screw Extruders: Modeling and Simulation

Modeling melt conveying and power consumption of co‐rotating twin‐screw extruder kneading blocks: Part B. Prediction models

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