A stochastic model and associated Fokker-Planck equation for the fiber lay-down process in nonwoven production processes
Götz T, Klar A, Marheineke N, Wegener R (2007)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2007
Journal
Publisher: Society for Industrial and Applied Mathematics
Book Volume: 67
Pages Range: 1704-1717
Journal Issue: 6
DOI: 10.1137/06067715X
Abstract
In this paper we present and investigate a stochastic model and its associated Fokker-Planck equation for the lay-down of fibers on a conveyor belt in the production process of nonwoven materials. The model is based on a stochastic differential equation taking into account the motion of the fiber under the influence of turbulence. A reformulation as a stochastic Hamiltonian system and an application of the stochastic averaging theorem lead to further simplifications of the model. Finally, the model is used to compute the distribution of functionals of the process that are important for the quality assessment of industrial fabrics. © 2007 Society for Industrial and Applied Mathematics.
Authors with CRIS profile
Involved external institutions
Universität Koblenz-Landau
Germany (DE)
Technische Universität Kaiserslautern
Germany (DE)
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM) / Fraunhofer Institute for Industrial Mathematics
Germany (DE)
Germany (DE)
Technische Universität Kaiserslautern
Germany (DE)
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM) / Fraunhofer Institute for Industrial Mathematics
Germany (DE)
How to cite
APA:
Götz, T., Klar, A., Marheineke, N., & Wegener, R. (2007). A stochastic model and associated Fokker-Planck equation for the fiber lay-down process in nonwoven production processes. SIAM Journal on Applied Mathematics, 67(6), 1704-1717. https://doi.org/10.1137/06067715X
MLA:
Götz, Thomas, et al. "A stochastic model and associated Fokker-Planck equation for the fiber lay-down process in nonwoven production processes." SIAM Journal on Applied Mathematics 67.6 (2007): 1704-1717.
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