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Simulation of Fiber Dynamics and Fiber-Wall Contacts for Airlay Processes

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Progress in Industrial Mathematics at ECMI 2014 (ECMI 2014)

Part of the book series: Mathematics in Industry ((TECMI,volume 22))

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Abstract

In an airlay process thousands of fibers are distributed by a turbulent air stream to produce a nonwoven. We present models and numerical strategies in order to simulate the dynamics of the fibers until they are laid down to a conveyor belt. In particular, we focus on the effect of the turbulent air flow onto the fibers and their contact with walls. The simulation results of the laydown can be used further, e.g., as input for fiber laydown models in nonwoven production processes.

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References

  1. Albrecht, W., Fuchs, H., Kittelmann, W. (eds.): Nonwoven Fabrics: Raw Materials, Manufacture, Applications, Characteristics, Testing Processes. Wiley-VCH Verlag GmbH, New Jersey (2003)

    Google Scholar 

  2. Antman, S.S.: Nonlinear Problems of Elasticity. Springer, New York (2006)

    Google Scholar 

  3. Arne, W., Leithäuser, C., Schmeißer, A.: Modeling and simulation along the process chain for filaments and nonwovens. In: Proceedings of the 2nd Young Researcher Symposium (YRS) 2013, pp. 78–83. Fraunhofer Verlag, Kaiserslautern

    Google Scholar 

  4. Hübsch, F., Marheineke, N., Ritter, K., Wegener, R.: Random field sampling for a simplified model of melt-blowing considering turbulent velocity fluctuations. J. Stat. Phys. 150(6), 1115–1137 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  5. Klar, A., Marheineke, N., Wegener, R.: Hierarchy of mathematical models for production processes of technical textiles. ZAMM 89, 941–961 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  6. Klar, A., Maringer, J., Wegener, R.: A 3d model for fiber lay-down in nonwoven production processes. Math. Models Methods Appl. Sci. 22(9), 1250020:1–18 (2012)

    Google Scholar 

  7. Klar, A., Maringer, J., Wegener, R.: A smooth 3d model for fiber lay-down in nonwoven production processes. Kinet. Relat. Models 5(1), 57–112 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  8. Marheineke, N., Liljo, J., Mohring, J., Schnebele, J., Wegener, R.: Multiphysics and multimethods problem of rotational glass fiber melt-spinning. Int. J. Num. Anal. Mod. B 3(3), 330–344 (2012)

    MathSciNet  MATH  Google Scholar 

  9. Marheineke, N., Wegener, R.: Modeling and application of a stochastic drag for fiber dynamics in turbulent flows. Int. J. Multiphase Flow 37, 136–148 (2011)

    Article  Google Scholar 

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Acknowledgements

The authors would like to acknowledge their industrial partner, the company Autefa Solutions GmbH, for the interesting and challenging problem. This work has been supported by German Bundesministerium für Bildung und Forschung, Schwerpunkt ‘Mathematik für Innovationen in Industrie und Dienstleistungen’, Project OPAL 05M13AMD.

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Correspondence to Simone Gramsch .

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Gramsch, S., Schmeißer, A., Wegener, R. (2016). Simulation of Fiber Dynamics and Fiber-Wall Contacts for Airlay Processes. In: Russo, G., Capasso, V., Nicosia, G., Romano, V. (eds) Progress in Industrial Mathematics at ECMI 2014. ECMI 2014. Mathematics in Industry(), vol 22. Springer, Cham. https://doi.org/10.1007/978-3-319-23413-7_139

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