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A Composite Model for Melting, Pressure and Fill Factor Profiles in a Metered Fed Closely Intermeshing Counter-rotating Twin Screw Extruder

  • K. Wilczynski , Q. Jiang and J. L. White
Published/Copyright: February 28, 2022
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International Polymer Processing
From the journal International Polymer Processing Volume 22 Issue 2

Abstract

A composite model of solids conveying, melting and melt flow in a closely intermeshing counter-rotating twin-screw extruder of modular design has been developed. This is based on combining melt conveying models with new melting and solids conveying models. Computations are made for axial fill factor, pressure, temperature and melting profiles. The results are compared with experiment.

* Mail address: J. L. White, Institute of Polymer Engineering, The University of Akron, Ohio 44325-0301, USA

You will find the article and additional material by entering the document number IPP2001 on our website at www.polymer-process.com

Nomenclature

ρ

material density

ρm

densities of melt

ρs

densities of solids

σ12

shear stresses on the barrel associated with theflow

σ32

shear stresses on the barrel associated with theflow

σzx

shear stress resulting from frictional forces in the gap, defined as σzx = fsp

φ

helix angle

λ

heat of fusion

φ(x)

fill factor

η

viscosity

△

calender gap

A

screw channel cross-sectional areas

b

viscosity temperature sensitivity

cs

specific heats of the solid and melt

cm

specific heats of the solid and melt

D

diameter of screw

f

leakage effect factor

fs

coefficient of friction

G

mass flow rate, defined as G = ρQ

H

screw channel depth

hb

heat transfer coefficients on the barrel

hS

heat transfer coefficients on the screw

  Δ  H ¯

specific enthalpy increase, defined as ΔH¯=cs(Tm−Ts)+λ+cm(Tf−Tm)

K0

viscosity constant

Lc

crew channel length in channel direction

L

screw pitch

m(x)

melt fraction

N

screw speed (min –1)

n

Power law index

p

pressure

p(die)

pressure at the end of the screw

Pn

pressure at the end of element n

qs

heat flow into the screw

Q

volumetric flow rate, defined as Q=∫0Acsv1 dA =∫0Wq1 dx3

q1

flow rate in depth, defined as q1=∫0Hv1 dx2

Qleak

backward leakage

Qp

flow rate into calender gap from channel, defined as Qp  =  f[ π(R1+R2) NWΔ ]

S⊝

perimeter of contact on the screw surface

Tf

temperatures of the solid and melt

Tm

melting point

To

reference temperature

Ts

temperatures of the solid and melt

T¯¯ (z)

cup-mixing mean channel temperature, defined as

T ¯ ¯ z = ∫ 0 W q 1 T ¯ x 1 , x 3 d x 3 Q
T ¯ (X1, X3)

mean channel temperature, defined as T ¯ x 1 , x 3 = ∫ 0 H v 1 T d x 2 ∫ 0 H v 1 d x 2

W

screw channel width

Wb

inter-flight distance of the barrel

Ws

inter-flight distance of the screw

vi

flow velocities in screw channel, i = 1, 2, 3, where 1 is the flow direction, 2 is the direction perpendicular to the screw and 3 is the transverse direction perpendicular to the screw fligh

Vc

volume of the screw C-chamber

vθ

θ velocity component

vz

z velocity component

xi

screw coordinate, i = 1, 2, 3

z, Z

axial distance along screw, same as 1

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Received: 2006-11-02
Accepted: 2007-01-22
Published Online: 2022-02-28
Published in Print: 2022-02-28

© 2007 Walter de Gruyter GmbH, Berlin/Boston, Germany

Articles in the same Issue

  1. Contents
  2. Regular Contributed Articles
  3. Functionalization of Low Density Polyethylene with Ricinol-2-oxazoline Methyl Maleate in a Twin-screw Extruder
  4. Modelling of Phase Transitions and Residual Thermal Stress of CTBN Rubber Modified Epoxy Resins during a Pultrusion Process
  5. Real-time Diagnosis of Micro Powder Injection Molding Using Integrated Ultrasonic Sensors
  6. Rheological Behavior of HEUR Mixtures in Aqueous Media
  7. Spinnability and Dyeability for Copolymer/Nano-SiO2 Fiber of Glycol and 1,2-Propanediol with PTA
  8. Development of a Novel Transcription Molding Process to Fabricate Sophisticated Polymer Products with Precise Microstructure and High Transparency Applicable to Display Devices and Bio-chips
  9. Effect of Aspect Ratio of Whisker on the Fibrillation of Liquid Crystalline Polymer in Polysulfone Matrix
  10. Gas Assisted Injection Molding of an Industrial Part: 3D Simulation Provides Virtual Molding Trials
  11. Analysis of Film Blowing with Flow-enhanced Crystallization
  12. Analysis of Film Blowing with Flow-enhanced Crystallization
  13. A Composite Model for Melting, Pressure and Fill Factor Profiles in a Metered Fed Closely Intermeshing Counter-rotating Twin Screw Extruder
  14. Surface Defects of TPO Injected Foam Parts for Automotive Applications
  15. PPS News
  16. PPS News
  17. Seikei-Kakou Abstracts
  18. Seikei-Kakou Abstracts
https://doi.org/10.1515/ipp-2007-0011

Articles in the same Issue

  1. Contents
  2. Regular Contributed Articles
  3. Functionalization of Low Density Polyethylene with Ricinol-2-oxazoline Methyl Maleate in a Twin-screw Extruder
  4. Modelling of Phase Transitions and Residual Thermal Stress of CTBN Rubber Modified Epoxy Resins during a Pultrusion Process
  5. Real-time Diagnosis of Micro Powder Injection Molding Using Integrated Ultrasonic Sensors
  6. Rheological Behavior of HEUR Mixtures in Aqueous Media
  7. Spinnability and Dyeability for Copolymer/Nano-SiO2 Fiber of Glycol and 1,2-Propanediol with PTA
  8. Development of a Novel Transcription Molding Process to Fabricate Sophisticated Polymer Products with Precise Microstructure and High Transparency Applicable to Display Devices and Bio-chips
  9. Effect of Aspect Ratio of Whisker on the Fibrillation of Liquid Crystalline Polymer in Polysulfone Matrix
  10. Gas Assisted Injection Molding of an Industrial Part: 3D Simulation Provides Virtual Molding Trials
  11. Analysis of Film Blowing with Flow-enhanced Crystallization
  12. Analysis of Film Blowing with Flow-enhanced Crystallization
  13. A Composite Model for Melting, Pressure and Fill Factor Profiles in a Metered Fed Closely Intermeshing Counter-rotating Twin Screw Extruder
  14. Surface Defects of TPO Injected Foam Parts for Automotive Applications
  15. PPS News
  16. PPS News
  17. Seikei-Kakou Abstracts
  18. Seikei-Kakou Abstracts
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