Skip to main content
Article
Licensed
Unlicensed Requires Authentication

Three-dimensional Numerical Study of the Mixing Behaviour of Twin-screw Elements

  • and
Published/Copyright: April 6, 2013
Become an author with De Gruyter Brill

Abstract

In this work the numerical modeling of the flow inside co-rotating twin-screw extruders is performed and solutions are analyzed to determine the mixing behavior of two screw elements: conveying and mixing elements. The flow around intermeshing screws is computed using an immersed boundary finite element method capable of dealing with complex moving solid boundaries. The flow is considered isothermal and the material behaves as a generalized non-Newtonian fluid. Because the viscosity depends on the shear rate, solutions will be shown for various rotation velocities of the screw. The 3D solutions are then analyzed in order to determine various parameters characterizing the flow mixing such as the residence time and the linear stretch. Residence time distribution inside the twin-screw extruder is first computed by using a particle tracking algorithm based on a fourth order Runge-Kutta method. A large number of particles are tracked inside the extruder and the resulting particle data is used to determine the distribution of the residence time and of the linear stretch. The spatial distribution of the residence time is also computed by solving a transport equation tracking the injection time of the polymer melt. The methodology shows important differences in the mixing behavior of the screw elements considered.


Mail address: Florin Ilinca, Industrial Materials Institute, National Research Council, 75, de Mortagne, Boucherville, Québec, Canada, J4B 6Y4. E-mail:

References

Bertrand, F., et al., “Adaptive Finite Element Simulations of Fluid Flow in Twin Screw Extruders”, Comp. Chem. Eng., 27, 491500(2003), DOI: http://dx.doi.org/10.1016/S0098-1354(02)00236-3Search in Google Scholar

Bravo, V. L., et al., “Numerical Simulation of Pressure and Velocity Profiles in Kneading Elements of a Co-rotating Twin Screw Extruder”, Polym. Eng. Sci., 40, 525541(2000), DOI: http://dx.doi.org/10.1002/pen.11184Search in Google Scholar

Cheng, H., Manas-Zloczower, I., “Study of Mixing Efficiency in Kneading Discs of Co-rotating Twin Screw Extruders”, Polym. Eng. Sci., 37, 10821090(1997), DOI: http://dx.doi.org/10.1002/pen.11753Search in Google Scholar

Cheng, H., Manas-Zloczower, I., “Distributive Mixing in Conveying Elements of a ZSK-53 Co-rotating Twin Screw Extruders”, Polym. Eng. Sci., 38, 926935(1998), DOI: http://dx.doi.org/10.1002/pen.10260Search in Google Scholar

Franca, L. P., Frey, S. L., “Stabilized Finite Element Methods: II. The Incompressible Navier-Stokes Equations”, Comp. Methods Appl. Mech. Eng., 99, 209233(1992), DOI: http://dx.doi.org/10.1016/0045-7825(92)90041-HSearch in Google Scholar

Hughes, T. J. R., et al., “A New Finite Element Formulation for Computational Fluid Dynamics: V. Circumventing the Babuška-Brezzi Condition: A Stable Petrov-Galerkin Formulation of the Stokes Problem Accommodating Equal-order Interpolations”, Comput. Methods Appl. Mech. Engrg., 59, 8599(1986), DOI: http://dx.doi.org/10.1016/0045-7825(86)90025-3Search in Google Scholar

Ilinca, F., Hétu, J.-F., “A Finite Element Immersed Boundary Method for Fluid Flow around Rigid Objects”, Int. J. Numer. Methods Fluids, 65, 856875(2011), DOI. http://dx.doi.org/10.1002/fld.2222Search in Google Scholar

Ilinca, F., Hétu, J.-F., “A Finite Element Immersed Boundary Method for Fluid Flow around Moving Objects”, Comput. Fluids, 39, 16561671(2010a), DOI: http://dx.doi.org/10.1016/j.compfluid.2010.06.002Search in Google Scholar

Ilinca, F., Hétu, J.-F., “Three-dimensional Finite Element Solution of the Flow in Single and Twin-screw Extruders”, Int. Polym. Proc., 25, 275286(2010b), DOI: http://dx.doi.org/10.3139/217.2351Search in Google Scholar

Ilinca, F., Hétu, J.-F., “Three-dimensional Filling and Post-filling Simulation of Polymer Injection Moulding”, Int. Polym. Proc., 16, 291301(2001)Search in Google Scholar

Ilinca, F., Hétu, J.-F., “Three-dimensional Numerical Modeling of Co-injection Molding”, Int. Polym. Proc., 17, 265270(2002)Search in Google Scholar

Ilinca, F., Hétu, J.-F., “Three-dimensional Finite Element Solution of Gas-assisted Injection Moulding”, Int. J. Numer. Methods Eng., 53, 20022017(2003)Search in Google Scholar

Ishikawa, T., et al., “3-D Numerical Simulations of Nonisothermal Flow in Co-rotating Twin Screw Extruders”, Polym. Eng. Sci., 40, 357364(2000), DOI: http://dx.doi.org/10.1002/pen.11169Search in Google Scholar

Kajiwara, T., et al., “Numerical Study of Twin-screw Extruders by Three-dimensional Flow Analysis – Development of Analysis Technique and Evaluation of Mixing Performance for Full Flight Screws”, Polym. Eng. Sci., 36, 21422152(1996), DOI: http://dx.doi.org/10.1002/pen.10611Search in Google Scholar

Kalyon, D. M., Malik, M., “An Integrated Approach for Numerical Analysis of Coupled Flow and Heat Transfer in Co-rotating Twin Screw Extruders”, Int. Polym. Proc., 22, 293302(2007)Search in Google Scholar

Lawal, A., Kalyon, D. M., “Mechanisms of Mixing in Single and Co-rotating Twin Screw Extruders”, Polym. Eng. Sci., 35, 13251338(1995), DOI: http://dx.doi.org/10.1002/pen.760351702Search in Google Scholar

Malik, M., Kalyon, D. M., “3D Finite Element Simulation of Processing of Generalized Newtonian Fluids in Counter-rotating and Tangential TSE and Die Combination”, Int. Polym. Proc., 20, 398409(2005)Search in Google Scholar

Ottino, J. M., et al., “A framework for Description of Mechanical Mixing of Fluids”, AIChE J., 27, 565577(1981), DOI: http://dx.doi.org/10.1002/aic.690270406Search in Google Scholar

Speur, J. A., et al., “Flow Patterns in Calender Gap of a Counterrotating Twin Screw Extruder”, Adv. Polym. Tech., 7, 3948(1987), DOI: http://dx.doi.org/10.1002/adv.1987.060070105Search in Google Scholar

Yao, C.-H., Manas-Zloczower, I., “Influence of Design on Dispersive Mixing Performance in an Axial Discharge Continuous Mixer – LCMAX 40”, Polym. Eng. Sci., 38, 936946(1998), DOI: http://dx.doi.org/10.1002/pen.10261Search in Google Scholar

Zhang, X.-M., et al., “Numerical Simulation and Experimental Validation of Mixing Performance of Kneading Discs in a Twin Screw Extruder”, Polym. Eng. Sci., 49, 17721783(2009), DOI: http://dx.doi.org/10.1002/pen.21404Search in Google Scholar

Received: 2010-11-19
Accepted: 2011-08-04
Published Online: 2013-04-06
Published in Print: 2012-03-01

© 2012, Carl Hanser Verlag, Munich

Articles in the same Issue

  1. Contents
  2. Contents
  3. Foreword
  4. IPP Special Issue on “Advanced Molding and Materials Processing Technology”
  5. Invited Papers from SAMT Conference
  6. Solving Injection Molded Part Warpage under Asymmetric Mold Cooling Conditions by Corrugated Variations in Part Thickness
  7. Injection Molding of Water Containing Thermoplastic Polyolefin
  8. Effects of Pressure and Supercritical Fluid on Melt Viscosity of LDPE in Conventional and Microcellular Injection Molding
  9. Influence of Scale Effect on Filling Behavior of Injection Molding by Visualization Method
  10. Determination of Thermal Response on Mold Surface and Recommendation of Feasible Heating Time and Gas Flow Rate for a Circular Cavity by Gas Preheating
  11. Overall Control System for Injection Molding Process
  12. Structure, Injection Molding Process and Fracture Behavior of Composite Plastics
  13. Review Papers
  14. A Structured Review and Classification of Demolding Issues and Proven Solutions
  15. Regular Contributed Articles
  16. Quantifying Extrusion Modification of LDPE with a Microcompounder
  17. Measurement Modification of Barrier Properties against UV Irradiation of PP Composite Fibres
  18. Application of Dry Nano Powder Inverse Imprint Technology in Transferring and Replication of Micro Patterns
  19. Three-dimensional Numerical Study of the Mixing Behaviour of Twin-screw Elements
  20. The Rheological and Mechanical Properties of PVC-Lignin Blends
  21. Three-Dimensional Observation on the Liquid Emptying Process from a Scaled-up Gravure Cell
  22. Radio-Frequency Compression Molding of Recycled Commingled Polymers
  23. PPS-News
  24. PPS News
  25. Seikei Kakou Abstracts
  26. Seikei-Kakou Abstracts
  27. Polímeros: Ciência e Tecnologia – Abstracts
  28. Polímeros: Ciência e Tecnologia – Abstracts
Downloaded on 18.4.2026 from https://www.degruyterbrill.com/document/doi/10.3139/217.2450/html
Scroll to top button