Simulation-based High-Speed Elongational Rheometer for Carreau-type Materials
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916145784684544 |
|---|---|
| author | Kannengiesser, Lukas Arne, Walter Bier, Alexander Marheineke, Nicole Schubert, Dirk W. Wegener, Raimund |
| author_facet | Kannengiesser, Lukas Arne, Walter Bier, Alexander Marheineke, Nicole Schubert, Dirk W. Wegener, Raimund |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01812 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simulation-based High-Speed Elongational Rheometer for Carreau-type Materials Kannengiesser, Lukas Arne, Walter Bier, Alexander Marheineke, Nicole Schubert, Dirk W. Wegener, Raimund Numerical Analysis 76-XX, 34B08, 34H05, 65-XX 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. |
| title | Simulation-based High-Speed Elongational Rheometer for Carreau-type Materials |
| topic | Numerical Analysis 76-XX, 34B08, 34H05, 65-XX |
| url | https://arxiv.org/abs/2403.01812 |