Influence of Process and Material Parameters on the Draw Resonance Instability
In this work, the influence of process and material parameters on the draw resonance instability in film casting and fiber spinning is investigated both theoretically and experimentally. Draw resonance generally occurs if the draw ratio, i.e., the ratio of outlet to inlet velocity, exceeds a critica...
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| פורמט: | Online |
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FAU University Press
2025
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| גישה מקוונת: | ONIX_20251215T160703_9783961470679_46 |
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| _version_ | 1869520249258246144 |
|---|---|
| author | Bechert, Mathias |
| author_browse | Bechert, Mathias |
| author_facet | Bechert, Mathias |
| author_sort | Bechert, Mathias |
| collection | Directory of Open Access Books |
| description | In this work, the influence of process and material parameters on the draw resonance instability in film casting and fiber spinning is investigated both theoretically and experimentally. Draw resonance generally occurs if the draw ratio, i.e., the ratio of outlet to inlet velocity, exceeds a critical value, and manifests itself in steady oscillations of the flow velocity and the geometric properties of the fibers and films. Several Newtonian and viscoelastic models for film casting and fiber spinning are derived and the critical draw ratio is determined by means of linear stability analysis in order to investigate the influence of various effects like gravity, inertia, neck-in and strain hardening on draw resonance. Moreover, physical mechanisms underlying the instability are revealed and alternative stability criteria are reviewed and extended. Employing control parameters with strong connection to practical application, the results are visualized in stability maps, which enable both a quick determination of the critical draw ratio and a partition of the parameter space into several dynamical regimes. The theoretical results are completed by an experimental study on draw resonance in fiber spinning. Using an effective relaxation time, the measured critical draw ratios can be well described by the theoretical predictions. |
| format | Online |
| id | doab-20.500.12854ir-170201 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | FAU University Press |
| publisherStr | FAU University Press |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1702012025-12-16T05:19:13Z Influence of Process and Material Parameters on the Draw Resonance Instability Bechert, Mathias Mathematische Modellierung Folienherstellung Nichtlineare Dynamik Chemiefaser Polymerschmelze Lineare Stabilitätstheorie thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes In this work, the influence of process and material parameters on the draw resonance instability in film casting and fiber spinning is investigated both theoretically and experimentally. Draw resonance generally occurs if the draw ratio, i.e., the ratio of outlet to inlet velocity, exceeds a critical value, and manifests itself in steady oscillations of the flow velocity and the geometric properties of the fibers and films. Several Newtonian and viscoelastic models for film casting and fiber spinning are derived and the critical draw ratio is determined by means of linear stability analysis in order to investigate the influence of various effects like gravity, inertia, neck-in and strain hardening on draw resonance. Moreover, physical mechanisms underlying the instability are revealed and alternative stability criteria are reviewed and extended. Employing control parameters with strong connection to practical application, the results are visualized in stability maps, which enable both a quick determination of the critical draw ratio and a partition of the parameter space into several dynamical regimes. The theoretical results are completed by an experimental study on draw resonance in fiber spinning. Using an effective relaxation time, the measured critical draw ratios can be well described by the theoretical predictions. 2025-12-16T05:19:12Z 2025-12-16T05:19:12Z 2025-12-15T15:10:59Z 2017 book ONIX_20251215T160703_9783961470679_46 https://library.oapen.org/handle/20.500.12657/109215 9783961470679 9783961470662 https://directory.doabooks.org/handle/20.500.12854/170201 eng FAU Studien Materialwissenschaft und Werkstofftechnik open access image/jpeg n/a https://library.oapen.org/bitstream/20.500.12657/109215/1/9783961470679.pdf FAU University Press 2c600dea-eece-4066-87be-da335e323fdb 9783961470679 9783961470662 250 Erlangen open access |
| spellingShingle | Mathematische Modellierung Folienherstellung Nichtlineare Dynamik Chemiefaser Polymerschmelze Lineare Stabilitätstheorie thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes Bechert, Mathias Influence of Process and Material Parameters on the Draw Resonance Instability |
| title | Influence of Process and Material Parameters on the Draw Resonance Instability |
| title_full | Influence of Process and Material Parameters on the Draw Resonance Instability |
| title_fullStr | Influence of Process and Material Parameters on the Draw Resonance Instability |
| title_full_unstemmed | Influence of Process and Material Parameters on the Draw Resonance Instability |
| title_short | Influence of Process and Material Parameters on the Draw Resonance Instability |
| title_sort | influence of process and material parameters on the draw resonance instability |
| topic | Mathematische Modellierung Folienherstellung Nichtlineare Dynamik Chemiefaser Polymerschmelze Lineare Stabilitätstheorie thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes |
| topic_facet | Mathematische Modellierung Folienherstellung Nichtlineare Dynamik Chemiefaser Polymerschmelze Lineare Stabilitätstheorie thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes |
| url | ONIX_20251215T160703_9783961470679_46 |
| work_keys_str_mv | AT bechertmathias influenceofprocessandmaterialparametersonthedrawresonanceinstability |