Stability loss and sensitivity in hollow fiber drawing

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

doi:10.1063/1.868260

Stability loss and sensitivity in hollow fiber drawing

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

Research output: Contribution to journal › Article › peer-review

50 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	1454-1463
Number of pages	10
Journal	Physics of Fluids
Volume	6
Issue number	4
DOIs	https://doi.org/10.1063/1.868260
Publication status	Published - 1994

ASJC Scopus subject areas

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

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AB - 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.

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Stability loss and sensitivity in hollow fiber drawing

Abstract

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