Chemical and Petroleum Engineering

, Volume 43, Issue 9–10, pp 523–528 | Cite as

Pressure-flow rate characteristics of steady-state isothermal flows of molten viscoelastic polymers in cylindrical channels of any cross-section geometry

  • B. V. Berdyshev
  • A. A. Borisov


The steady-state isothermal flow of a molten polymer is considered in response to a constant pressure difference in a relatively long cylindrical channel with any cross section. Conditions are given for particular cases of viscoelastic media in narrow channels (planar slots) and cylindrical channels (tubes). The viscosity and the elastic properties of the molten polymers are used in a viscoelastic model. Formulas are derived for the flow in a circular tube and a planar slot, which agree well with theoretical and experimental data. The maximum possible loads on these elements of the shaping tool are determined not by the viscosity but instead by the elastic properties of the polymer liquids, i.e., the elastic shear modulus, and this must be considered in designing extrusion equipment.


Simple Shear Volume Flow Rate Circular Tube Cylindrical Channel Elastic Shear Modulus 


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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • B. V. Berdyshev
    • 1
  • A. A. Borisov
    • 1
  1. 1.Moscow State University of Engineering Ecology (MGUIÉ)Russia

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