### 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 |

Publication status | Published - 1994 Dec 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

*Physics of Fluids*,

*6*(4), 1454-1463.

**Stability loss and sensitivity in hollow fiber drawing.** / Yarin, Alexander; Gospodinov, P.; Roussinov, V. I.

Research output: Contribution to journal › Article

*Physics of Fluids*, vol. 6, no. 4, pp. 1454-1463.

}

TY - JOUR

T1 - Stability loss and sensitivity in hollow fiber drawing

AU - Yarin, Alexander

AU - Gospodinov, P.

AU - Roussinov, V. I.

PY - 1994/12/1

Y1 - 1994/12/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0028082912&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028082912&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0028082912

VL - 6

SP - 1454

EP - 1463

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 4

ER -