Influence of the disorder on solute dispersion in a flow channel

Autor: Jean-Pierre Hulin, Elisa Evangelista, Irene Ippolito, Harold Auradou, R. Chertcoff, Victor Charette
Přispěvatelé: Grupo de Medios Porosos [Buenos Aires] (GMP), Facultad de Ingeniería [Buenos Aires] (FIUBA), Universidad de Buenos Aires [Buenos Aires] (UBA)-Universidad de Buenos Aires [Buenos Aires] (UBA), Fluides, automatique, systèmes thermiques (FAST), Université Paris-Sud - Paris 11 (UP11)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)
Rok vydání: 2007
Předmět:
Zdroj: European Physical Journal: Applied Physics
European Physical Journal: Applied Physics, 2007, http://www.edpsciences.org/journal/index.cfm?edpsname=epjap&niv1=contents&niv2=archives. ⟨10.1051/epjap:2007110⟩
European Physical Journal: Applied Physics, EDP Sciences, 2007, http://www.edpsciences.org/journal/index.cfm?edpsname=epjap&niv1=contents&niv2=archives. ⟨10.1051/epjap:2007110⟩
ISSN: 1286-0050
1286-0042
Popis: Tracer dispersion is studied experimentally in periodic or disordered arrays of beads in a capillary tube. Dispersion is measured from light absorption variations near the outlet following a steplike injection of dye at the inlet. Visualizations using dye and pure glycerol are also performed in similar geometries. Taylor dispersion is dominant both in an empty tube and for a periodic array of beads: the dispersivity $l\_d$ increases with the P\'eclet number $Pe$ respectively as $Pe$ and $Pe^{0.82}$ and is larger by a factor of 8 in the second case. In a disordered packing of smaller beads (1/3 of the tube diameter) geometrical dispersion associated to the disorder of the flow field is dominant with a constant value of $l\_d$ reached at high P\'eclet numbers. The minimum dispersivity is slightly higher than in homogeneous nonconsolidated packings of small grains, likely due heterogeneities resulting from wall effects. In a disordered packing with the same beads as in the periodic configuration, $l\_d$ is up to 20 times lower than in the latter and varies as $Pe^\alpha$ with $\alpha = 0.5$ or $= 0.69$ (depending on the fluid viscosity). A simple model accounting for this latter result is suggested.
Comment: available online at http://www.edpsciences.org/journal/index.cfm?edpsname=epjap&niv1=contents&niv2=archives
Databáze: OpenAIRE