Simulation-based high-speed elongational rheometer for Carreau-type materials

Kannengießer L, Arne W, Bier A, Marheineke N, Schubert DW, Wegener R (2025)

Publication Type: Journal article

Publication year: 2025

Journal

Journal of Mathematics in Industry SpringerOpen

Book Volume: 15

Article Number: 3

Journal Issue: 1

DOI: 10.1186/s13362-025-00168-x

Abstract

For the simulation-based design of fiber melt spinning processes, the accurate modeling of the processed polymer with regard to its material behavior is crucial. In this work, we develop a high-speed elongational rheometer for Carreau-type materials, making use of process simulations and fiber diameter measurements. The procedure is based on a unified formulation of the fiber spinning model for all material types (Newtonian and quasi-Newtonian), whose material laws are strictly monotone in the strain rate. The parametrically described material law for the elongational viscosity implies a nonlinear optimization problem for the parameter identification, for which we propose an efficient, robust gradient-based method. The work can be understood as a proof of concept, a generalization to other, more complex materials is possible.

Authors with CRIS profile

Alexander Bier Lehrstuhl für Werkstoffwissenschaften (Polymerwerkstoffe) (LSP) Dirk Schubert Lehrstuhl für Werkstoffwissenschaften (Polymerwerkstoffe) (LSP)

Involved external institutions

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

How to cite

APA:

Kannengießer, L., Arne, W., Bier, A., Marheineke, N., Schubert, D.W., & Wegener, R. (2025). Simulation-based high-speed elongational rheometer for Carreau-type materials. Journal of Mathematics in Industry, 15(1). https://doi.org/10.1186/s13362-025-00168-x

MLA:

Kannengießer, Lukas, et al. "Simulation-based high-speed elongational rheometer for Carreau-type materials." Journal of Mathematics in Industry 15.1 (2025).

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