HYDRODYNAMIC PROPERTIES AND PERMEABILITY OF FRACTAL OBJECTS

H. Nguyen (), B. Chopard () and S. Stoll ()
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H. Nguyen: Département d'Informatique (CUI), University of Geneva, CH-1211 Geneva 4, Switzerland
B. Chopard: Département d'Informatique (CUI), University of Geneva, CH-1211 Geneva 4, Switzerland
S. Stoll: Chimie Analytique et Biophysico-chimie de l'Environnement (CABE), University of Geneva, CH-1211 Geneva 4, Switzerland

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 04, 732-738

Abstract: Using Lattice Boltzmann numerical simulations, we analyse the hydrodynamic properties of both fractal aggregates and artificial fractal objects. First we show that the hydrodynamic radius actually depends on three quantities: the fractal dimension, the so-called prefactor and the inside connectivity. Second, from the simulated velocity field inside the aggregate, we observe that Darcy's law describes the flow better than Brinkman equation. Finally we measure the permeability - porosity relation and observed that it departs from the prediction of Happel's model.

Keywords: Fractal aggregates; hydrodynamics; Lattice Boltzmann; permeability; simulation (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107010991

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