### Abstract

Original language | English |
---|---|

Title of host publication | Progress in Industrial Mathematics at ECMI 2010 |

Editors | M. Günther, A. Bartel, M. Brunk, S. Schoeps, M. Striebel |

Place of Publication | Berlin |

Publisher | Springer |

Pages | 341-347 |

ISBN (Print) | 978-3-642-25099-6 |

DOIs | |

Publication status | Published - 2012 |

Event | 16th European Conference on Mathematics for Industry (ECMI 2010), July 26-30, 2010, Wuppertal, Germany - Wuppertal, Germany Duration: 26 Jul 2010 → 30 Jul 2010 |

### Publication series

Name | Mathematics in Industry |
---|---|

Volume | 17 |

ISSN (Print) | 1612-3956 |

### Conference

Conference | 16th European Conference on Mathematics for Industry (ECMI 2010), July 26-30, 2010, Wuppertal, Germany |
---|---|

Abbreviated title | ECMI 2010 |

Country | Germany |

City | Wuppertal |

Period | 26/07/10 → 30/07/10 |

### Fingerprint

### Cite this

*Progress in Industrial Mathematics at ECMI 2010*(pp. 341-347). (Mathematics in Industry; Vol. 17). Berlin: Springer. https://doi.org/10.1007/978-3-642-25100-9_40

}

*Progress in Industrial Mathematics at ECMI 2010.*Mathematics in Industry, vol. 17, Springer, Berlin, pp. 341-347, 16th European Conference on Mathematics for Industry (ECMI 2010), July 26-30, 2010, Wuppertal, Germany, Wuppertal, Germany, 26/07/10. https://doi.org/10.1007/978-3-642-25100-9_40

**A model of rotary spinning process.** / Hlod, A.V.; Ven, van de, A.A.F.; Peletier, M.A.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - A model of rotary spinning process

AU - Hlod, A.V.

AU - Ven, van de, A.A.F.

AU - Peletier, M.A.

PY - 2012

Y1 - 2012

N2 - A rotary spinning process is used to produce aramide fibers. In this process thin jets of polymer solution emerge from the nozzles of the rotating rotor and flow towards the cylindrical coagulator. At the coagulator the jets hit the water curtain in which they solidify forming fibers. The rotary spinning is described by a steady jet of viscous Newtonian fluid between the rotor and the coagulator. The jet model includes the effects of inertia, longitudinal viscosity, and centrifugal and Coriolis forces. For the jet model the specific type of the boundary conditions depends on the balance between the inertia and viscosity in the momentum transfer through the jet cross-section. Based on that we find two possible flow regimes in rotary spinning: (1) viscous-inertial, where viscosity dominates at the rotor and inertia at the coagulator (2) inertial, where inertia dominates everywhere in the jet. Moreover, there are two situations where spinning is not possible, either due to lack of a steady-jet solution or because the jet wraps around the rotor. Finally, we characterize the parameter space.

AB - A rotary spinning process is used to produce aramide fibers. In this process thin jets of polymer solution emerge from the nozzles of the rotating rotor and flow towards the cylindrical coagulator. At the coagulator the jets hit the water curtain in which they solidify forming fibers. The rotary spinning is described by a steady jet of viscous Newtonian fluid between the rotor and the coagulator. The jet model includes the effects of inertia, longitudinal viscosity, and centrifugal and Coriolis forces. For the jet model the specific type of the boundary conditions depends on the balance between the inertia and viscosity in the momentum transfer through the jet cross-section. Based on that we find two possible flow regimes in rotary spinning: (1) viscous-inertial, where viscosity dominates at the rotor and inertia at the coagulator (2) inertial, where inertia dominates everywhere in the jet. Moreover, there are two situations where spinning is not possible, either due to lack of a steady-jet solution or because the jet wraps around the rotor. Finally, we characterize the parameter space.

U2 - 10.1007/978-3-642-25100-9_40

DO - 10.1007/978-3-642-25100-9_40

M3 - Conference contribution

SN - 978-3-642-25099-6

T3 - Mathematics in Industry

SP - 341

EP - 347

BT - Progress in Industrial Mathematics at ECMI 2010

A2 - Günther, M.

A2 - Bartel, A.

A2 - Brunk, M.

A2 - Schoeps, S.

A2 - Striebel, M.

PB - Springer

CY - Berlin

ER -