Simulation-based high-speed elongational rheometer for Carreau-type materials
Abstract 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 fi...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of Mathematics in Industry |
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| Online Access: | https://doi.org/10.1186/s13362-025-00168-x |
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| author | Lukas Kannengießer Walter Arne Alexander Bier Nicole Marheineke Dirk W. Schubert Raimund Wegener |
| author_facet | Lukas Kannengießer Walter Arne Alexander Bier Nicole Marheineke Dirk W. Schubert Raimund Wegener |
| author_sort | Lukas Kannengießer |
| collection | DOAJ |
| description | Abstract 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. |
| format | Article |
| id | doaj-art-e2066ab55ecc4658b8cfc28d3a817a1d |
| institution | Kabale University |
| issn | 2190-5983 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Mathematics in Industry |
| spelling | doaj-art-e2066ab55ecc4658b8cfc28d3a817a1d2025-02-09T12:16:31ZengSpringerOpenJournal of Mathematics in Industry2190-59832025-02-0115112010.1186/s13362-025-00168-xSimulation-based high-speed elongational rheometer for Carreau-type materialsLukas Kannengießer0Walter Arne1Alexander Bier2Nicole Marheineke3Dirk W. Schubert4Raimund Wegener5Arbeitsgruppe Modellierung und Numerik, Universität TrierFraunhofer ITWMFAU Erlangen-Nürnberg, Lehrstuhl für PolymerwerkstoffeArbeitsgruppe Modellierung und Numerik, Universität TrierFAU Erlangen-Nürnberg, Lehrstuhl für PolymerwerkstoffeFraunhofer ITWMAbstract 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.https://doi.org/10.1186/s13362-025-00168-xFiber spinningElongational rheometerGeneralized Newtonian materialParameter identificationBoundary value problem |
| spellingShingle | Lukas Kannengießer Walter Arne Alexander Bier Nicole Marheineke Dirk W. Schubert Raimund Wegener Simulation-based high-speed elongational rheometer for Carreau-type materials Journal of Mathematics in Industry Fiber spinning Elongational rheometer Generalized Newtonian material Parameter identification Boundary value problem |
| title | Simulation-based high-speed elongational rheometer for Carreau-type materials |
| title_full | Simulation-based high-speed elongational rheometer for Carreau-type materials |
| title_fullStr | Simulation-based high-speed elongational rheometer for Carreau-type materials |
| title_full_unstemmed | Simulation-based high-speed elongational rheometer for Carreau-type materials |
| title_short | Simulation-based high-speed elongational rheometer for Carreau-type materials |
| title_sort | simulation based high speed elongational rheometer for carreau type materials |
| topic | Fiber spinning Elongational rheometer Generalized Newtonian material Parameter identification Boundary value problem |
| url | https://doi.org/10.1186/s13362-025-00168-x |
| work_keys_str_mv | AT lukaskannengießer simulationbasedhighspeedelongationalrheometerforcarreautypematerials AT walterarne simulationbasedhighspeedelongationalrheometerforcarreautypematerials AT alexanderbier simulationbasedhighspeedelongationalrheometerforcarreautypematerials AT nicolemarheineke simulationbasedhighspeedelongationalrheometerforcarreautypematerials AT dirkwschubert simulationbasedhighspeedelongationalrheometerforcarreautypematerials AT raimundwegener simulationbasedhighspeedelongationalrheometerforcarreautypematerials |