# American Institute of Mathematical Sciences

March  2012, 5(1): 97-112. doi: 10.3934/krm.2012.5.97

## A smooth 3D model for fiber lay-down in nonwoven production processes

 1 Fachbereich Mathematik, Technische Universität Kaiserslautern, Germany, Germany 2 Fraunhofer ITWM, Kaiserslautern, Germany

Received  March 2011 Revised  August 2011 Published  January 2012

In this paper we develop an improved three dimensional stochastic model for the lay-down of fibers on a moving conveyor belt in the production process of nonwoven materials. The model removes a drawback of a previous 3D model, that is the non-smoothness of the fiber paths. A similar result in the 2D case has been presented in [12]. The resulting equations are investigated for different limit situations and numerical simulations are presented.
Citation: Axel Klar, Johannes Maringer, Raimund Wegener. A smooth 3D model for fiber lay-down in nonwoven production processes. Kinetic & Related Models, 2012, 5 (1) : 97-112. doi: 10.3934/krm.2012.5.97
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