### Abstract

An analytical solution is obtained that describes fiber spinning with a given force on the receiving bobbin. As an example, a calculation is made of the response of the final fiber section to a periodically varying draw force; a solution is constructed that describes the propagation along the fiber of a finite perturbation associated with a change in the conditions at the spinneret for a fixed draw force. The problem of the small perturbations of a fiber spun at a given rate onto a bobbin is reduced to a linear integrodifferential equation with retardation whose characteristic equation determines the region of the draw resonance instability. The reasons for the occurrence for the instability are elucidated.

Original language | English |
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Pages (from-to) | 856-862 |

Number of pages | 7 |

Journal | Fluid Dynamics |

Volume | 18 |

Issue number | 6 |

Publication status | Published - 1983 Nov 1 |

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### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes

### Cite this

*Fluid Dynamics*,

*18*(6), 856-862.

**DYNAMICAL REGIMES OF FIBER SPINNING.** / Berman, V. S.; Yarin, Alexander.

Research output: Contribution to journal › Article

*Fluid Dynamics*, vol. 18, no. 6, pp. 856-862.

}

TY - JOUR

T1 - DYNAMICAL REGIMES OF FIBER SPINNING.

AU - Berman, V. S.

AU - Yarin, Alexander

PY - 1983/11/1

Y1 - 1983/11/1

N2 - An analytical solution is obtained that describes fiber spinning with a given force on the receiving bobbin. As an example, a calculation is made of the response of the final fiber section to a periodically varying draw force; a solution is constructed that describes the propagation along the fiber of a finite perturbation associated with a change in the conditions at the spinneret for a fixed draw force. The problem of the small perturbations of a fiber spun at a given rate onto a bobbin is reduced to a linear integrodifferential equation with retardation whose characteristic equation determines the region of the draw resonance instability. The reasons for the occurrence for the instability are elucidated.

AB - An analytical solution is obtained that describes fiber spinning with a given force on the receiving bobbin. As an example, a calculation is made of the response of the final fiber section to a periodically varying draw force; a solution is constructed that describes the propagation along the fiber of a finite perturbation associated with a change in the conditions at the spinneret for a fixed draw force. The problem of the small perturbations of a fiber spun at a given rate onto a bobbin is reduced to a linear integrodifferential equation with retardation whose characteristic equation determines the region of the draw resonance instability. The reasons for the occurrence for the instability are elucidated.

UR - http://www.scopus.com/inward/record.url?scp=0020843760&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020843760&partnerID=8YFLogxK

M3 - Article

VL - 18

SP - 856

EP - 862

JO - Fluid Dynamics

JF - Fluid Dynamics

SN - 0015-4628

IS - 6

ER -