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Influence of the disorder on solute dispersion in a flow channel

Published online by Cambridge University Press:  12 July 2007

V. J. Charette
Affiliation:
Grupo de Medios Porosos, Facultad de Ingeniería, Universidad de Buenos Aires, Paseo Colón 850, 1063 Buenos Aires, Argentina
E. Evangelista
Affiliation:
Grupo de Medios Porosos, Facultad de Ingeniería, Universidad de Buenos Aires, Paseo Colón 850, 1063 Buenos Aires, Argentina
R. Chertcoff
Affiliation:
Grupo de Medios Porosos, Facultad de Ingeniería, Universidad de Buenos Aires, Paseo Colón 850, 1063 Buenos Aires, Argentina
H. Auradou
Affiliation:
Laboratoire Fluides, Automatique et Systèmes Thermiques, UMR No. 7608, CNRS, Universités Paris 6 et 11, Bâtiment 502, Campus Paris Sud, 91405 Orsay Cedex, France
J. P. Hulin*
Affiliation:
Laboratoire Fluides, Automatique et Systèmes Thermiques, UMR No. 7608, CNRS, Universités Paris 6 et 11, Bâtiment 502, Campus Paris Sud, 91405 Orsay Cedex, France
I. Ippolito
Affiliation:
Grupo de Medios Porosos, Facultad de Ingeniería, Universidad de Buenos Aires, Paseo Colón 850, 1063 Buenos Aires, Argentina
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Abstract

Solute 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 Péclet 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 Péclet numbers. The minimum dispersivity is slightly higher than in homogeneous nonconsolidated packings of small grains, likely due to wall effects. In a weakly 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 γ with γ = 0.5 or = 0.69 (depending on the fluid viscosity). A simple model accounting for this latter result is suggested.

Keywords

Type
Research Article
Copyright
© EDP Sciences, 2007

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