Buch, Englisch, 129 Seiten, Format (B × H): 148 mm x 210 mm
Buch, Englisch, 129 Seiten, Format (B × H): 148 mm x 210 mm
ISBN: 978-3-8396-2070-0
Verlag: Fraunhofer Verlag
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.
Ettmüller / Fraunhofer ITWM
On Modeling and Simulation of Crystallization in Fiber Melt Spinning jetzt bestellen!
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.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
- Technische Wissenschaften Verfahrenstechnik | Chemieingenieurwesen | Biotechnologie Verfahrenstechnik, Chemieingenieurwesen
- Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
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