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Draw resonance in isothermal fibre spinning of Newtonian and power-law fluids

Published online by Cambridge University Press:  01 April 2000

R. VAN DER HOUT
R. VAN DER HOUT
Affiliation:
Akzo Nobel Central Research & Mathematical Institute, University of Leiden, The Netherlands (e-mail: rein.vanderhout@akzonobel.com)
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Abstract

The linearized stability problem for fibre spinning of Newtonian and power law fluids, in a one-dimensional, isothermal setting, is reduced to a single Volterra integral equation. A rigorous linear stability criterion is presented, and we compute the corresponding ‘critical stretch ratios’, using methods of complex analysis. The results of this paper prove the correctness of earlier results by Matovich, Pearson and Shah.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 11 , Issue 2 , April 2000 , pp. 129 - 136
Copyright
2000 Cambridge University Press

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