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A Three‐Dimensional Model for Fiber Lay‐Down Processes
Author(s) -
Maringer Johannes,
Klar Axel,
Wegener Raimund
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010335
Subject(s) - isotropy , fiber , stochastic differential equation , deposition (geology) , anisotropy , position (finance) , motion (physics) , flow (mathematics) , stochastic modelling , orientation (vector space) , conveyor belt , turbulence , spinning , mechanics , computer science , statistical physics , physics , mathematics , materials science , classical mechanics , geology , mechanical engineering , engineering , mathematical analysis , geometry , composite material , optics , economics , statistics , paleontology , finance , sediment
Abstract We present an improved stochastic model concerning the lay‐down of fibers on a conveyor belt in the production of nonwovens. The model is based on stochastic differential equations describing the resulting position of the fiber on the belt having regard to its motion in the deposition region under influence of turbulent air flow. Our aim is to generalize an existing model to 3D. By introducing a parameter we have an alternative to consider both isotropic and anisotropic orientation of the fibers generating the nonwoven. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)