Asymptotic Methods for Air-Flow Around Fibers

  • T. Götz
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 1)

Abstract

An asymptotic method to determine the air-flow around slender fibers in the case of low Reynolds numbers is presented. Based on the equations for linearized flow, the force acting on a fiber is approximated as the superposition of fundamental solutions. Matching asymptotic expansions valid in different regions of the flow field leads to an integral equation model for the force. The resulting non-standard, strongly singular Fredholm integral equation of the second kind is analyzed theoretically and solved numerically. The application of this model to an industrial melt-spinning process for artificial fibers is discussed.

Keywords

Convection Nylon Polypropylene Lene 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • T. Götz
    • 1
  1. 1.Dept. of MathematicsUniversity of KaiserslauternKaiserslauternGermany

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