2024/03/04 by Lukas Kannengießer, Kannengiesser, Lukas, Walter Arne +9
Chemical Engineering · #34B08 #34H05 #65-XX #76-XX #FOS: Mathematics #Numerical Analysis (math.NA) #Rheology and Fluid Dynamics Studies
paper · pdf · doi:10.48550/arxiv.2403.01812
openalex publication_date 2024/03/04 · openalex created_date 2024/03/06 · openalex updated_date 2026/07/28
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 non-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.