Home Design of Calibrators for Profile Extrusion – Optimizing Multi-step Systems
Article
Licensed
Unlicensed Requires Authentication

Design of Calibrators for Profile Extrusion – Optimizing Multi-step Systems

  • J. M. Nóbrega , O. S. Carneiro , A. Gaspar-Cunha and N. D. Gonçalves
Published/Copyright: March 26, 2013
Become an author with De Gruyter Brill

Abstract

A computer code, that couples numerical modelling and optimization routines, is described and used to automatically optimize the performance of a multi-step calibration stage of a plastic profile extrusion line. The objective of the optimization process is to minimize two conflicting criteria: final plastic profile average temperature and corresponding distribution standard deviation, both computed at the end of the calibration/cooling stage. The optimization routine uses Multi-Objective Evolutionary Algorithms (MOEA). Having in mind the well-known difficulties in characterizing the interface heat transfer coefficient, the system optimization was performed using different constant values for this parameter.


Mail address: Olga S. Carneiro, Institute for Polymers and Composites, Department of Polymer Engineering, University of Minho, Campus de Azurem, 4800 058 Guimaraes, Portugal. E-mail:

References

Coello Coello, C. A., et al.: Evolutionary Algorithms for Solving Multi-Objective Problems, Kluwer, New York (2002)10.1007/978-1-4757-5184-0Search in Google Scholar

Conrad, U., Pittman, J. F. T., “PVC Profile Calibration: Comprehensive Trials Relating Process Outcomes and Operating Conditions”, 3rd ESAFORM Conference, 23–36 (2000)Search in Google Scholar

Deb, K.: Multi-Objective Optimization using Evolutionary Algorithms, Wiley, New York, USA (2001)Search in Google Scholar

Doshi, S. R., “Prediction of the Residual Stresses Distribution in Plastic Pipe and Profile Extrusion”, SPE ANTEC Tech. Papers, 546–549 (1989)Search in Google Scholar

Fradette, L., et al., “On the Determination of Heat Transfer Coefficient between PVC and Steel in Vacuum Extrusion Calibrators”, International Journal of Numerical Methods for Heat & Fluid Flow, 6 (1), 312 (1996)10.1108/EUM0000000004095Search in Google Scholar

Gaspar-Cunha, A., Modelling and Optimization of Single Screw Extrusion, PhD Thesis, University of Minho, Guimarães, Portugal (2000)Search in Google Scholar

Gaspar-Cunha, A., Covas, J. A., “RPSGAe – A Multiobjective Genetic Algorithm with Elitism: Application to Polymer Extrusion”, in Lecture Notes in Economics and Mathematical Systems, Volume 535, Springer, Berlin (2004)10.1007/978-3-642-17144-4Search in Google Scholar

Goldberg, D. E.: Genetic Algorithms in Search, Optimisation and Machine Learning, Addison-Wesley, Reading (1989)Search in Google Scholar

Harrel, E. R., “Aproximate Model for Analysing Frozen-in Strains and Shrinkage of Extruded PVC Lineal Profiles”, SPE ANTEC Tech. Papers, 3260–3265 (2000)Search in Google Scholar

Nóbrega, J. M., et al., “Design of Calibrators for Extruded Profiles. Part 1. Modeling the Thermal Interchanges”, Polym. Eng. Sci., 44, 22162228 (2004a)10.1002/pen.20249Search in Google Scholar

Nóbrega, J. M., et al., “Accounting for Temperature-dependent Properties in Viscoelastic Duct Flows”, Int. J. Heat Mass Transfer, 47, 11411158 (2004b)10.1016/j.ijheatmasstransfer.2003.10.004Search in Google Scholar

Nóbrega, J. M., et al., “Flow Balancing in Extrusion Dies for Thermoplastic Profiles. Part III: Experimental Assessment”, Int. Polym. Proc., 19, 225235 (2004c)10.3139/217.1825Search in Google Scholar

Oliveira, P. J., et al., “Numerical Simulation of Non-linear Elastic Flows with a General Collocated Finite-Volume Method”, J. Non-Newton. Fluid Mech., 79, 143 (1998)10.1016/S0377-0257(98)00082-2Search in Google Scholar

Oliveira, P. J., Pinho, F. T., “Numerical Procedure for the Computation of Fluid Flow with Arbitrary Stress-strain Relationships”, Numer. Heat Trans., Part B, 35, 295315 (1999)10.1080/104077999275884Search in Google Scholar

Pittman, J. F. T., et al., “Transfer Coefficients in Spray Cooling of Plastics Pipes”, Plastic Pipes IX Conference (1995a)Search in Google Scholar

Pittman, J. F. T., et al., “Wall Thickness Uniformity in Plastic Pipes – Computer-Simulations of the Effectiveness of Die Mandrel Offsetting and Pipe Rotation in Combating Sag”, Polym. Eng. Sci., 35, 921928 (1995b)10.1002/pen.760351106Search in Google Scholar

Placek, L., et al., “Cooling of Extruded Plastic Profiles”, SPE ANTEC Tech. Papers, 378–382 (2000a)Search in Google Scholar

Placek, L., et al., “Cooling of Extruded Plastic Profiles”, PPS Europe/Africa Regional Meeting, 131–132 (2000b)Search in Google Scholar

Szarvasy, I., “Simulation of Complex PVC Window Profile Cooling during Calibration with Particular Focus on Internal Heat Exchange”, 3rd ESAFORM, IV-27-IV-30 (2000)Search in Google Scholar

Received: 2007-11-21
Accepted: 2008-2-23
Published Online: 2013-03-26
Published in Print: 2008-07-01

© 2008, Carl Hanser Verlag, Munich

Downloaded on 30.10.2025 from https://www.degruyterbrill.com/document/doi/10.3139/217.2148/pdf
Scroll to top button