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

被引：0

作者：

Kannengiesser, Lukas ^{[1
]}

Arne, Walter ^{[2
]}

Bier, Alexander ^{[3
]}

Marheineke, Nicole ^{[1
]}

Schubert, Dirk W. ^{[3
]}

Wegener, Raimund ^{[2
]}

机构：

[1] Univ Trier, Arbeitsgrp Modellierung & Numer, Univ Ring 15, D-54296 Trier, Germany

[2] Fraunhofer ITWM, Fraunhofer Pl 1, D-67663 Kaiserslautern, Germany

[3] FAU Erlangen Nurnberg, Lehrstuhl Polymerwerkstoffe, Martensstr 7, D-91058 Erlangen, Germany

来源：

JOURNAL OF MATHEMATICS IN INDUSTRY | 2025年 / 15卷 / 01期

关键词：

Fiber spinning; Elongational rheometer; Generalized Newtonian material; Parameter identification; Boundary value problem; 76-XX; 65-XX;

D O I：

10.1186/s13362-025-00168-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：20