A Mathematical Model for the Melt Spinning of Polymer Fibers

Erik Andreassen (), Elisabeth Gundersen (), Einar L. Hinrichsen () and Hans Petter Langtangen ()
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Erik Andreassen: SINTEF
Elisabeth Gundersen: University of Oslo, Dept. of Math.
Einar L. Hinrichsen: SINTEF
Hans Petter Langtangen: University of Oslo, Dept. of Math.

Chapter 9 in Numerical Methods and Software Tools in Industrial Mathematics, 1997, pp 195-212 from Springer

Abstract: Abstract We derive a quasi one-dimensional mathematical model for the free surface flow of thin polymer fibers undergoing phase changes. The model is based on averaging the mass and momentum balance equations, while the energy equation is kept in the standard form. Various constitutive laws are introduced for crystallization kinetics, temperature and strain-rate dependent viscosity, air friction and heat transfer coefficients in cooling laws. Emphasis is put on the many approximations in the model. The resulting system of algebraic equations, partial differential equations and ordinary differential equations is solved numerically. We show how the numerical simulations can be used for fitting parameters in an empirical crystallization model.

Keywords: Heat Transfer Coefficient; Nusselt Number; Crystallization Rate; Crystallization Kinetic; Polymer Fiber (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-1984-2_9

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DOI: 10.1007/978-1-4612-1984-2_9

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