Analytical determination of viscous permeability of fibrous porous media

Ali Tamayol, M. Bahrami

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this study, the permeability of ordered fibrous media towards normal and parallel flow is determined analytically. In this approach, porous material is represented by a "unit cell" which is assumed to be repeated throughout the media. Several fiber arrangements including: touching and non-touching arrays are considered. Modeling ID touching fibers as a combination of Channel-like conduits, a compact relationship is proposed to predict permeability. Employing an integral technique and assuming a parabolic velocity profile within the unit cells, analytical relationships are developed for pressure drop for rectangular arrangements. The developed models are successfully compared with existing experimental data collected by others for square arrangement over a wide range of porosity. Due to the random nature of the porous micro structures, determination of exact permeability of real fibrous media is impossible. However, the analyses developed for ordered unit cells enable one to predict the trends observed in experimental data. Moreover, it is shown that the proposed normal flow permeability of square unit cell serves as a lower bound for the permeability of fibrous media. The effects of unit cell aspect ratio and fibers diameter on the permeability are also investigated. It is noted that with an increase in the aspect ratio the normal permeability decreases while, the parallel permeability remains constant. It is also shown that the permeability of fibrous media is related to the diameter of fibers squared.

Original languageEnglish (US)
Title of host publication2008 Proceedings of the ASME Fluids Engineering Division Summer Conference, FEDSM 2008
Pages303-311
Number of pages9
EditionPART A
DOIs
StatePublished - Sep 18 2009
Externally publishedYes
Event2008 ASME Fluids Engineering Division Summer Conference, FEDSM 2008 - Jacksonville, FL, United States
Duration: Aug 10 2008Aug 14 2008

Publication series

Name2008 Proceedings of the ASME Fluids Engineering Division Summer Conference, FEDSM 2008
NumberPART A
Volume1

Other

Other2008 ASME Fluids Engineering Division Summer Conference, FEDSM 2008
CountryUnited States
CityJacksonville, FL
Period8/10/088/14/08

Fingerprint

Porous materials
Fibers
Aspect ratio
Parallel flow
Pressure drop
Porosity
Microstructure

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

Cite this

Tamayol, A., & Bahrami, M. (2009). Analytical determination of viscous permeability of fibrous porous media. In 2008 Proceedings of the ASME Fluids Engineering Division Summer Conference, FEDSM 2008 (PART A ed., pp. 303-311). (2008 Proceedings of the ASME Fluids Engineering Division Summer Conference, FEDSM 2008; Vol. 1, No. PART A). https://doi.org/10.1115/FEDSM2008-55071

Analytical determination of viscous permeability of fibrous porous media. / Tamayol, Ali; Bahrami, M.

2008 Proceedings of the ASME Fluids Engineering Division Summer Conference, FEDSM 2008. PART A. ed. 2009. p. 303-311 (2008 Proceedings of the ASME Fluids Engineering Division Summer Conference, FEDSM 2008; Vol. 1, No. PART A).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Tamayol, A & Bahrami, M 2009, Analytical determination of viscous permeability of fibrous porous media. in 2008 Proceedings of the ASME Fluids Engineering Division Summer Conference, FEDSM 2008. PART A edn, 2008 Proceedings of the ASME Fluids Engineering Division Summer Conference, FEDSM 2008, no. PART A, vol. 1, pp. 303-311, 2008 ASME Fluids Engineering Division Summer Conference, FEDSM 2008, Jacksonville, FL, United States, 8/10/08. https://doi.org/10.1115/FEDSM2008-55071
Tamayol A, Bahrami M. Analytical determination of viscous permeability of fibrous porous media. In 2008 Proceedings of the ASME Fluids Engineering Division Summer Conference, FEDSM 2008. PART A ed. 2009. p. 303-311. (2008 Proceedings of the ASME Fluids Engineering Division Summer Conference, FEDSM 2008; PART A). https://doi.org/10.1115/FEDSM2008-55071
Tamayol, Ali ; Bahrami, M. / Analytical determination of viscous permeability of fibrous porous media. 2008 Proceedings of the ASME Fluids Engineering Division Summer Conference, FEDSM 2008. PART A. ed. 2009. pp. 303-311 (2008 Proceedings of the ASME Fluids Engineering Division Summer Conference, FEDSM 2008; PART A).
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