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Asymptotics of Fiber Spinning Equations

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Progress in Industrial Mathematics at ECMI 2006

Part of the book series: Mathematics in Industry ((TECMI,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. Panda, S.: The dynamics of viscous fibers. PhD-Thesis, University of Kaiserslautern, Germany (2006)

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© 2008 Springer-Verlag Berlin Heidelberg

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Götz, T., Klar, A., Unterreiter, A. (2008). Asymptotics of Fiber Spinning Equations. In: Bonilla, L.L., Moscoso, M., Platero, G., Vega, J.M. (eds) Progress in Industrial Mathematics at ECMI 2006. Mathematics in Industry, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71992-2_117

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