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

Axel Klar; Johannes Maringer; Raimund Wegener

doi:10.3934/krm.2012.5.97

Article Contents

2012, Volume 5, Issue 1: 97-112. Doi: 10.3934/krm.2012.5.97

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

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

Received: March 2011

Revised: August 2011

Published: March 2012

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Abstract

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.

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Mathematics Subject Classification: 37H10, 35Q84, 41A60.

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References

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