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Fibre Spinning with Axial and Radial Viscosity Distributions as Viscoelastic Flow with Dominating Extension

  • Stefan Zahorski

Abstract

It is shown that non-isothermal melt spinning with axial and radial viscosity distributions can be considered as a particular case of the flows with dominating extensions discussed elsewhere. The governing equations are solved for weak variability of the extensional viscosity function with respect to the extension rate. Validity of the so-called quasi-elongational approximation, widely used in numerous references, is justified, and possibility of any “skin-effects” excluded.

Keywords

Velocity Profile Extension Rate Extensional Flow Material Function Extensional Viscosity 
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References

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    Ziabicki, A., Fundamentals of Fibre Formations, J.Wiley & Sons, London-New York-Sydney-Toronto 1976.Google Scholar
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    Petrie, C.J.S., Elongational Flows, Pitman, London-San Francisco-Melbourne 1979.Google Scholar
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    Kase, S., Studies on melt spinning, III: Velocity field within the thread, J. Appl. Polymer Sci., 1974, 18, 3267–78.CrossRefGoogle Scholar
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    Ziabicki, A., The mechanisms of “neck-like” deformation in high-speed melt spinning, 1: Rheological and dynamic factors, J.Non-Newtonian Fluid Mech., 1988, 30, 141-55.CrossRefGoogle Scholar
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    Ziabicki, A., The mechanisms of “neck-like” deformation in high-speed melt spinning, 2: Effect of polymer crystallization, J.Non-Newtonian Fluids Mech., 1988, 30, 157–68.CrossRefGoogle Scholar
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    Zahorski, S., Viscoelastic flows with dominating extensions: application to squeezing flows, Arch.Mech., 1986, 38 191–207.Google Scholar

Copyright information

© Elsevier Science Publishers Ltd 1990

Authors and Affiliations

  • Stefan Zahorski
    • 1
  1. 1.Institute of Fundamental TechnologicalResearch Polish Academy of SciencesWarszawaPoland

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