Dynamical regimes of fiber spinning

V. S. Berman, A. L. Yarin

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)856-862
Number of pages7
JournalFluid Dynamics
Volume18
Issue number6
DOIs
Publication statusPublished - 1983 Nov

ASJC Scopus subject areas

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

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    Berman, V. S., & Yarin, A. L. (1983). Dynamical regimes of fiber spinning. Fluid Dynamics, 18(6), 856-862. https://doi.org/10.1007/BF01090738