Parallel flow through ordered fibers: An analytical approach

A. Tamayol, M. Bahrami

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


In this study, fully developed flow parallel to ordered fibers is investigated analytically. The considered fibrous media are made up of in-line (square), staggered, and hexagonal arrays of cylinders. Starting from the general solution of Poisson’s equation, compact analytical solutions are proposed for both velocity distribution and permeability of the considered structures. In addition, independent numerical simulations are performed for the considered arrangements over the entire range of porosity and the results are compared with the proposed solutions. The developed solutions are successfully verified through comparison with experimental data, collected by others, and the present numerical results over a wide range of porosity. The results show that for the ordered arrangements with high porosity, the parallel permeability is independent of the microstructure geometrical arrangements; on the other hand, for lower porosities the hexagonal arrangement provides lower pressure drop, as expected.

Original languageEnglish (US)
Pages (from-to)114502-1-114502-7
JournalJournal of Fluids Engineering, Transactions of the ASME
Issue number11
StatePublished - Nov 2010
Externally publishedYes


  • Analytical solution
  • Creeping flow
  • Fibrous porous media
  • Ordered fibers
  • Parallel permeability

ASJC Scopus subject areas

  • Mechanical Engineering

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