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ISBN | 9783839620700 |
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Sprache | Englisch |
Erscheinungsdatum | 04.02.2025 |
Genre | Mathematik/Sonstiges |
Verlag | Fraunhofer Verlag |
Herausgegeben von | Fraunhofer ITWM |
Lieferzeit | Lieferung in 7-14 Tagen |
This thesis addresses the modeling and simulation of physical processes in the context of the production of technical textiles. The process of fiber melt spinning presents a significant challenge from a mathematical and modeling perspective, given its inherent complexity. The thesis focuses on semi-crystalline polymers, where the degree of crystallization is a critical factor.
Considering a viscoelastic two-phase fiber model class, asymptotically justified boundary conditions are derived, preventing the occurrence of artificial boundary layers. In the context of a viscoelastic model hierarchy, several dimensionally reduced fiber models are analyzed and compared with respect to their performance and application regime, with a particular focus on a novel stress-averaged one-two-dimensional model. For the efficient numerical solution of the boundary value problems of ordinary and partial differential equations resulting from the fiber models, suitable problem-specific solution algorithms are developed. The capabilities of the model-simulation framework are demonstrated by investigating an industrial spinning scenario with hundreds of fibers, incorporating two-way coupled fiber-air interaction.
ISBN | 9783839620700 |
---|---|
Sprache | Englisch |
Erscheinungsdatum | 04.02.2025 |
Genre | Mathematik/Sonstiges |
Verlag | Fraunhofer Verlag |
Herausgegeben von | Fraunhofer ITWM |
Lieferzeit | Lieferung in 7-14 Tagen |
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