On simulations of spinning processes with a stationary one-dimensional upper convected Maxwell model

Marheineke N, Lorenz M, Wegener R (2014)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2014

Journal

Journal of Mathematics in Industry SpringerOpen

Publisher: SpringerOpen

Book Volume: 4

Journal Issue: 2

DOI: 10.1186/2190-5983-4-2

Abstract

This work deals with the behavior of viscoelastic jets under gravitational forces described by an asymptotic upper convected Maxwell (UCM) model, system of partial differential equations. Considering fiber spinning, we show that the one-dimensional model equations in general allow for the simulation of drawing processes with and without die swell effect. But, as the model is of hyperbolic type and the run of the characteristics crucially depend on the physical parameters, the existence regimes of the stationary solutions associated to certain boundary conditions turn out to be limited. We investigate the regimes for gravitational uniaxial and 2d spinning scenarios numerically.

Authors with CRIS profile

Nicole Marheineke Professur für Wissenschaftliches Rechnen

Involved external institutions

Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM) / Fraunhofer Institute for Industrial Mathematics DE Germany (DE)

How to cite

APA:

Marheineke, N., Lorenz, M., & Wegener, R. (2014). On simulations of spinning processes with a stationary one-dimensional upper convected Maxwell model. Journal of Mathematics in Industry, 4(2). https://doi.org/10.1186/2190-5983-4-2

MLA:

Marheineke, Nicole, Maike Lorenz, and Raimund Wegener. "On simulations of spinning processes with a stationary one-dimensional upper convected Maxwell model." Journal of Mathematics in Industry 4.2 (2014).

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