Stability loss and sensitivity in hollow fiber drawing

A. L. Yarin, P. Gospodinov, V. I. Roussinov

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48 Citations (Scopus)


Stability of hollow fiber drawing is studied, based on the quasi-one-dimensional equations of thin film dynamics. It is shown that the model isothermal drawing process is unstable when the draw ratio E (that of output to input velocities) exceeds the critical value E* = 20.22 when the viscosity force is dominating. Under stable regimes with E < E*, the response of the as-drawn fiber to external perturbations is studied (the sensitivity problem). In unstable situations with E > E*, onset of the so-called draw resonance regime with self-sustained oscillations is predicted by using numerical simulation. The effects of the inertia, gravity, surface tension, and gas pressure differential are considered.

Original languageEnglish
Pages (from-to)1454-1463
Number of pages10
JournalPhysics of Fluids
Issue number4
Publication statusPublished - 1994

ASJC Scopus subject areas

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


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