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Asymptotics of Fiber Spinning Equations

  • Thomas Götz
  • Axel Klar
  • Andreas Unterreiter
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 12)

We consider a model for the production of glass fibers in a rotating spinning device. The model depends on two small parameters, namely the Reynolds-number δ and the Rossby-number ε. For small Rossby-numbers, i.e., a fast rotating spinning drum, numerical difficulties arise. To overcome this problems, asymptotic expansions are carried out for the stationary, inviscid case δ = 0 as well as for the instationary, viscous case δ = O(1).

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References

  1. [Pan06]
    Panda, S.: The dynamics of viscous fibers. PhD-Thesis, University of Kaiserslautern, Germany (2006)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Thomas Götz
    • 1
  • Axel Klar
    • 1
  • Andreas Unterreiter
    • 2
  1. 1.Dept. of MathematicsTU KaiserslauternGermany
  2. 2.Dept. of MathematicsTU BerlinGermany

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