A Stochastic Model and Associated Fokker-Planck Equation for the Fiber Lay-down Process in Nonwoven Production Processes

In: SIAM Journal on Applied Mathematics. Volume 67, Number 6, P. 1707--1717, 2007

Authors

• T. Götz
• Axel Klar
• N. Marheineke
• Raimund Wegener

Abstract

In this paper we present and investigate a stochastic model for the lay-down of fibers on a conveyor belt in the production process of nonwovens. 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 might be helpful for the quality assessment of industrial fabrics.

BibTeX

 
@Article{ Goetz.Klar.EA07stochastic, 
   title = { A Stochastic Model and Associated Fokker-Planck Equation for the Fiber Lay-down Process in Nonwoven Production Processes }, 
   author = { T. Götz and Axel Klar and N. Marheineke and Raimund Wegener },    
   journal = { SIAM Journal on Applied Mathematics },  
   volume = { 67 }, 
   number = { 6 },       
   pages = { 1707--1717 },   
   year = 2007, 
} 

---

This publication belongs to the project Fimod.