0
Technical Briefs

Parallel Flow Through Ordered Fibers: An Analytical Approach

[+] Author and Article Information
A. Tamayol1

Mechatronic Systems Engineering, School of Engineering Science, Simon Fraser University, BC, V3T0A3, Canadaali_tamayol@sfu.ca

M. Bahrami

Mechatronic Systems Engineering, School of Engineering Science, Simon Fraser University, BC, V3T0A3, Canadambahrami@sfu.ca

1

Corresponding author.

J. Fluids Eng 132(11), 114502 (Nov 03, 2010) (7 pages) doi:10.1115/1.4002169 History: Received November 21, 2009; Revised July 11, 2010; Published November 03, 2010; Online November 03, 2010

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2010 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Unit cell for (a) square, (b) staggered, and (c) hexagonal arrangements

Grahic Jump Location
Figure 2

(a) analytical velocity contours, Eq. 13, (b) numerical velocity contours, and (c) analytical velocity distribution for a square arrangement with ε=0.9

Grahic Jump Location
Figure 3

Present velocity distributions for staggered arrangement of cylinders with ε=0.45 (a) analytical, Eq. 13, and (b) numerical

Grahic Jump Location
Figure 4

Comparison of the proposed model with the numerical and experimental results; square arrangement

Grahic Jump Location
Figure 5

Comparison of the proposed model, experimental and numerical data, and other existing models; square arrangement

Grahic Jump Location
Figure 6

Comparison of the proposed model, an experimental data point (touching limit), and other existing models; staggered arrangement

Grahic Jump Location
Figure 7

Comparison of the proposed model with other existing models; hexagonal arrangement

Grahic Jump Location
Figure 8

Effect of arrangement on the permeability

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In