Newtonian glass fiber drawing: Chaotic variation of the cross-sectional radius

A. L. Yarin, P. Gospodinov, O. Gottlieb, M. D. Graham

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Abstract

A model of Newtonian glass fiber drawing at fixed temperature in the unsteady range (the draw ratio E>20.22) is considered. In this range under steady boundary conditions, as is well known, the draw resonance instability sets in, resulting in self-sustained oscillations. These oscillations lead to a periodic variation of the cross-sectional radius of the fiber. In the present work we consider the case where the spinline radius varies periodically. Such a variation may result from flow oscillations in the fiber forming channels in the direct-melt process, or from the variation of the preform cross-sectional radius in drawing of optical fibers. When this variation takes place in the range E >20.22, the self-sustained periodic oscillations of the draw resonance are replaced by quasiperiodic and periodic (mode-locked) subharmonic or (under the appropriate conditions) chaotic oscillations (strange attractors). The routes to chaos found in the present work include (1) smooth period doubling bifurcation of (any) mode-locked periodic solution, (2) abrupt explosions of quasiperiodic solutions. The predicted chaotic variation of the spinline radius at the winding mandrel may result in a similar variation of the cross-sectional radius of the solidified fibers.

Original languageEnglish
Pages (from-to)3201-3208
Number of pages8
JournalPhysics of Fluids
Volume11
Issue number11
DOIs
Publication statusPublished - 1999 Nov

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ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

Yarin, A. L., Gospodinov, P., Gottlieb, O., & Graham, M. D. (1999). Newtonian glass fiber drawing: Chaotic variation of the cross-sectional radius. Physics of Fluids, 11(11), 3201-3208. https://doi.org/10.1063/1.870181