The study of creeping flow in fibrous media is of considerable interest in many biological and biomedical applications. There is little work, however, on permeability calculations in three-dimensional random networks. Computational power is now sufficient to calculate permeabilities directly by constructing artificial fiber networks and simulating flow through them. Even with today’s high-performance computers, however, such an approach would be infeasible for large simulations. It is therefore necessary to develop a correlation based on fiber volume fraction, radius and orientation, preferably by incorporating previous studies on isotropic or structured networks. In this work, the direct calculations were performed, using the finite element method, on networks with varying degrees of orientation, and combinations of results for flow parallel and perpendicular to a single fiber or an array thereof, using a volume averaging theory, were compared to the detailed analysis.
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ASME 2008 Summer Bioengineering Conference
June 25–29, 2008
Marco Island, Florida, USA
Conference Sponsors:
- Bioengineering Division
ISBN:
978-0-7918-4321-5
PROCEEDINGS PAPER
Permeability Calculations in Three-Dimensional Fiber Networks
T. Stylianopoulos,
T. Stylianopoulos
University of Minnesota, Minneapolis, MN
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A. Yeckel,
A. Yeckel
University of Minnesota, Minneapolis, MN
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J. J. Derby,
J. J. Derby
University of Minnesota, Minneapolis, MN
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E. A. Sander,
E. A. Sander
University of Minnesota, Minneapolis, MN
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V. H. Barocas
V. H. Barocas
University of Minnesota, Minneapolis, MN
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T. Stylianopoulos
University of Minnesota, Minneapolis, MN
A. Yeckel
University of Minnesota, Minneapolis, MN
J. J. Derby
University of Minnesota, Minneapolis, MN
X. J. Luo
RPI, Troy, NY
M. S. Shephard
RPI, Troy, NY
E. A. Sander
University of Minnesota, Minneapolis, MN
V. H. Barocas
University of Minnesota, Minneapolis, MN
Paper No:
SBC2008-192203, pp. 1033-1034; 2 pages
Published Online:
March 13, 2014
Citation
Stylianopoulos, T, Yeckel, A, Derby, JJ, Luo, XJ, Shephard, MS, Sander, EA, & Barocas, VH. "Permeability Calculations in Three-Dimensional Fiber Networks." Proceedings of the ASME 2008 Summer Bioengineering Conference. ASME 2008 Summer Bioengineering Conference, Parts A and B. Marco Island, Florida, USA. June 25–29, 2008. pp. 1033-1034. ASME. https://doi.org/10.1115/SBC2008-192203
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