Particle sieving in a random fiber network

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An idealized fiber network model is developed to study particle sieving by percolation. The model is based on a Poisson line field in two dimensions, whereby the fibers are modeled as infinite length strips of finite width, while particles are modeled as circular disks. The probabilistic sieving problem is equivalent to percolation of disks through convex polygons of the Poisson line field. The area-based probability of retention (equivalently, percolation) is described by an equation which depends on a single non-dimensional number that is proportional to the number of fiber per unit area and the particle size. The physical meaning and the applicable range of this number are discussed. Finally, using a Monte Carlo simulation, the model is generalized to anisotropic Poisson line fields. (C) 2000 Elsevier Science Inc. All rights reserved.

Original languageEnglish (US)
Pages (from-to)523-534
Number of pages12
JournalApplied Mathematical Modelling
Issue number8-9
StatePublished - Jul 2000
Externally publishedYes


  • Monte Carlo simulation
  • Percolation
  • Poisson line field
  • Random fiber network

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics


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