Permeability of Porous Materials Determined from the Euler Characteristic
Scholz C, Wirner F, Götz J, Rüde U, Schröder-Turk G, Mecke K, Bechinger C (2012)
Publication Type: Journal article
Publication year: 2012
Journal
Publisher: American Physical Society
Book Volume: 109
Pages Range: 504-1-504-5
Journal Issue: 26
URI: http://prl.aps.org/abstract/PRL/v109/i26/e264504
DOI: 10.1103/PhysRevLett.109.264504
Abstract
We study the permeability of quasi-two-dimensional porous structures of randomly placed overlapping monodisperse circular and elliptical grains. Measurements in microfluidic devices and lattice Boltzmann simulations demonstrate that the permeability is determined by the Euler characteristic of the conducting phase. We obtain an expression for the permeability that is independent of the percolation threshold and shows agreement with experimental and simulated data over a wide range of porosities. Our approach suggests that the permeability explicitly depends on the overlapping probability of grains rather than their shape. © 2012 American Physical Society.
Authors with CRIS profile
Jan Götz
Lehrstuhl für Informatik 10 (Systemsimulation) (LSS)
Ulrich Rüde
Lehrstuhl für Informatik 10 (Systemsimulation) (LSS)
Gerd Schröder-Turk
Lehrstuhl für Theoretische Physik
Klaus Mecke
Lehrstuhl für Theoretische Physik
Additional Organisation(s)
Involved external institutions
Germany (DE)How to cite
APA:
Scholz, C., Wirner, F., Götz, J., Rüde, U., Schröder-Turk, G., Mecke, K., & Bechinger, C. (2012). Permeability of Porous Materials Determined from the Euler Characteristic. Physical Review Letters, 109(26), 504-1-504-5. https://doi.org/10.1103/PhysRevLett.109.264504
MLA:
Scholz, Christian, et al. "Permeability of Porous Materials Determined from the Euler Characteristic." Physical Review Letters 109.26 (2012): 504-1-504-5.
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