Regensburg 2013 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 27: Fluid Dynamics and Turbulence
DY 27.4: Vortrag
Donnerstag, 14. März 2013, 10:15–10:30, H48
Permeability of porous materials determined from the Euler characteristic — •Christian Scholz1, Frank Wirner1, Jan Götz2, Ulrich Rüde2, Gerd E. Schröder-Turk3, Klaus Mecke3, and Clemens Bechinger1,4 — 12. Physikalisches Institut, Universität Stuttgart, 70569 Stuttgart, Germany — 2Lehrstuhl für Systemsimulation, Friedrich-Alexander Universität Erlangen-Nürnberg, 91058 Erlangen, Germany — 3Institut für Theoretische Physik, Friedrich-Alexander Universität Erlangen-Nürnberg, 91058 Erlangen, Germany — 4Max-Planck-Institut für Intelligente Systeme, Heisenbergstraße 3, 70569 Stuttgart, Germany
We present measurements and lattice Boltzmann simulations of the permeability of quasi two-dimensional porous structures of randomly placed overlapping monodisperse circular and elliptical grains. We demonstrate that the permeability can be determined from the Euler characteristic of the fluid phase. The resulting expression is independent of the percolation threshold and shows a good agreement with our data over a wide range of porosities. Our results suggest that the permeability depends explicitly on the overlapping probability of grains rather than their shape (Scholz et al., PRL 2012, in press).