dorsal/arxiv
View SchemaInfluence of the disorder on tracer dispersion in a flow channel
| Authors | Victor Javier Charette, Elisa Evangelista, Ricardo Chertcoff, Harold Auradou, Jean-Pierre Hulin, Irene Ippolito |
|---|---|
| Categories | |
| ArXiv ID | physics/0610107 |
| URL | https://arxiv.org/abs/physics/0610107 |
| DOI | 10.1051/epjap:2007110 |
| Journal | European Physical Journal Applied Physics (2007) |
Abstract
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.
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"abstract": "Tracer dispersion is studied experimentally in periodic or disordered arrays\nof beads in a capillary tube. Dispersion is measured from light absorption\nvariations near the outlet following a steplike injection of dye at the inlet.\nVisualizations using dye and pure glycerol are also performed in similar\ngeometries. Taylor dispersion is dominant both in an empty tube and for a\nperiodic array of beads: the dispersivity $l\\_d$ increases with the P\\\u0027eclet\nnumber $Pe$ respectively as $Pe$ and $Pe^{0.82}$ and is larger by a factor of 8\nin the second case. In a disordered packing of smaller beads (1/3 of the tube\ndiameter) geometrical dispersion associated to the disorder of the flow field\nis dominant with a constant value of $l\\_d$ reached at high P\\\u0027eclet numbers.\nThe minimum dispersivity is slightly higher than in homogeneous nonconsolidated\npackings of small grains, likely due heterogeneities resulting from wall\neffects. In a disordered packing with the same beads as in the periodic\nconfiguration, $l\\_d$ is up to 20 times lower than in the latter and varies as\n$Pe^\\alpha$ with $\\alpha = 0.5$ or $= 0.69$ (depending on the fluid viscosity).\nA simple model accounting for this latter result is suggested.",
"arxiv_id": "physics/0610107",
"authors": [
"Victor Javier Charette",
"Elisa Evangelista",
"Ricardo Chertcoff",
"Harold Auradou",
"Jean-Pierre Hulin",
"Irene Ippolito"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1051/epjap:2007110",
"journal_ref": "European Physical Journal Applied Physics (2007)",
"title": "Influence of the disorder on tracer dispersion in a flow channel",
"url": "https://arxiv.org/abs/physics/0610107"
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