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Virtual Production of Filaments and Fleeces

  • Chapter
Currents in Industrial Mathematics

Abstract

For many years, the Fraunhofer ITWM has been working to virtualize the production of filaments and fleeces in cooperation with a broad spectrum of industrial clients. This application area, embedded in the field of fluid-structure interactions, offers a multitude of mathematical challenges, since the complexity of the processes renders them unamenable to standard simulation techniques. For numerous key aspects, the Fraunhofer ITWM has developed its own models and tools, so that, today, we can generate simulation-based solutions for our clients’ process design and control problems. Here, new modeling approaches, such as turbulent aerodynamic drag models for filament dynamics and stochastic surrogate models for fleece formation, have opened up interesting subject areas for applied mathematics. The contribution in this chapter is based on the Cosserat theory and offers a coherent overview of the models, algorithms, and software building blocks involved. The current state of development is illustrated by means of industrial applications of the spunbond process and the rotational spinning of glass wool.

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Acknowledgement

The simulation results presented in this chapter are based on the work of the members of the Fraunhofer ITWM Transport Processes Department mentioned in Sect. 3. We are particularly indebted to them. Important works of the authors have been supported by the German Research Society (WE 2003/3-1, WE 2003/4-1, and MA 4526/2-1), as well as by the Federal Ministry for Education and Research (Consortium project ProFil, 05M10WEA, 05M10AMB, Consortium project OPAL, 05M13WEA, and 05M13AMD).

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Authors and Affiliations

  1. Fraunhofer-Institut für Techno- und Wirtschaftsmathematik, Fraunhofer-Platz 1, 67663, Kaiserslautern, Germany

    Raimund Wegener & Dietmar Hietel

  2. FAU Erlangen-Nürnberg, Lehrstuhl Angewandte Mathematik 1, Cauerstr. 11, 91058, Erlangen, Germany

    Nicole Marheineke

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  1. Raimund Wegener
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  2. Nicole Marheineke
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  3. Dietmar Hietel
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Correspondence to Raimund Wegener .

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  1. Techno- und Wirtschaftsmathematik (ITWM), Fraunhofer Insitut für Techno- und Wirtschaftsmathematik (ITWM), Kaiserslautern, Germany

    Helmut Neunzert

  2. Fraunhofer Institut für Techno- und Wirtschaftsmathematik (ITWM), Kaiserslautern, Germany

    Dieter Prätzel-Wolters

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Wegener, R., Marheineke, N., Hietel, D. (2015). Virtual Production of Filaments and Fleeces. In: Neunzert, H., Prätzel-Wolters, D. (eds) Currents in Industrial Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48258-2_6

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