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

Physical Review Letters American Physical Society

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) Ulrich Rüde Lehrstuhl für Informatik 10 (Systemsimulation) Gerd Schröder-Turk Lehrstuhl für Theoretische Physik Klaus Mecke Lehrstuhl für Theoretische Physik

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials

Involved external institutions

Universität Stuttgart DE 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://dx.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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