Newtonian glass fiber drawing

Chaotic variation of the cross-sectional radius

Alexander Yarin, P. Gospodinov, O. Gottlieb, M. D. Graham

Research output: Contribution to journalArticle

18 Citations (Scopus)

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
Publication statusPublished - 1999 Nov 1
Externally publishedYes

Fingerprint

glass fibers
Glass fibers
oscillations
radii
Fibers
fibers
Chaos theory
Explosions
Optical fibers
mandrels
strange attractors
Boundary conditions
preforms
period doubling
explosions
chaos
periodic variations
optical fibers
routes
fiberglass

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Yarin, A., 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.

Newtonian glass fiber drawing : Chaotic variation of the cross-sectional radius. / Yarin, Alexander; Gospodinov, P.; Gottlieb, O.; Graham, M. D.

In: Physics of Fluids, Vol. 11, No. 11, 01.11.1999, p. 3201-3208.

Research output: Contribution to journalArticle

Yarin, A, Gospodinov, P, Gottlieb, O & Graham, MD 1999, 'Newtonian glass fiber drawing: Chaotic variation of the cross-sectional radius', Physics of Fluids, vol. 11, no. 11, pp. 3201-3208.
Yarin A, Gospodinov P, Gottlieb O, Graham MD. Newtonian glass fiber drawing: Chaotic variation of the cross-sectional radius. Physics of Fluids. 1999 Nov 1;11(11):3201-3208.
Yarin, Alexander ; Gospodinov, P. ; Gottlieb, O. ; Graham, M. D. / Newtonian glass fiber drawing : Chaotic variation of the cross-sectional radius. In: Physics of Fluids. 1999 ; Vol. 11, No. 11. pp. 3201-3208.
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