Encyclopedia of Membranes

2016 Edition
| Editors: Enrico Drioli, Lidietta Giorno

Fiber Models

  • Vasilis Burganos
Reference work entry
DOI: https://doi.org/10.1007/978-3-662-44324-8_1056

A fiber model is a model that uses straight or curved fibers, either finite in length or infinitely long, to represent the solid phase in a porous material or a reinforcement component in a composite material. Fiber models are the appropriate choice for modeling fibrous media, woven or nonwoven, typically synthetic but occasionally also natural ones. Typical examples include the representation of membranes and porous media for fuel cells (Mathias et al. 2003), filters for the separation or sieving of particulate matter, or filters for the exclusion of bubbles in diverse applications of microfluidics. There is a recent rapid growth of interest in the utilization of fiber models for the description of the structure of gas diffusion layers in fuel cells but also of modern textiles and fabrics for specialized applications (Thiedmann et al. 2009; Gaiselmann et al. 2012). The typical features that characterize a fiber model include the diameter and length of the fiber, the number or length...

This is a preview of subscription content, log in to check access.


  1. Coleman R (1969) Random paths through convex bodies. J Appl Probab 6:430–441CrossRefGoogle Scholar
  2. Gaiselmann G, Thiedmann R, Manke I, Lehnert W, Schmidt V (2012) Stochastic 3D modeling of fiber-based materials. Comput Mater Sci 59:75–86CrossRefGoogle Scholar
  3. Mathias MF, Roth J, Fleming J, Lehnert W (2003) Diffusion media materials and characterisation. In: Vielstich W, Lamm A (eds) Handbook of fuel cells, volume III, chapter 42, 517–537, J. Wiley & Sons, LondonGoogle Scholar
  4. Thiedmann R, Hartnig C, Manke I, Schmidt V, Lehnert W (2009) Local structural characteristics of pore space in GDLs of PEM fuel cells based on geometric 3D graphs. J Electrochem Soc 156:B1339–B1347CrossRefGoogle Scholar
  5. Tomadakis MM, Sotirchos SV (1993) Ordinary and transition regime diffusion in random fiber structures. AIChE J 39:397–412CrossRefGoogle Scholar
  6. Torquato S (2002) Random heterogeneous materials – microstructure and macroscopic properties. Springer-Verlag, New YorkCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Institute of Chemical Engineering Sciences, Foundation for Research and Technology – Hellas, FORTH/ICE-HTPatrasHellas