To be able to quantify concentration fields during a salt solute injection in a Hele–Shaw cell, an analogue medium to a porous media under specific conditions, an apparatus based on LIF technique has been set. This technique uses a diverged pulsed laser illuminating the cell in a light spot. To overcome the spatial and temporal light energy nonuniformity a data reduction involving the stacking of several consecutive rough images has been defined. This data reduction leads to a very good description of the mixing zone (finger) as well as both longitudinal and transversal concentration profiles. Comparison with another technique (light absorption) highlights the improvement our system provides both in precision and repeatability.
Afin de quantifier les champs de concentration lors de l'injection d'une solution saline dans une cellule de type Hele–Shaw, représentant sous certaines conditions un modèle analogue à un milieu poreux, un banc de mesures basé sur une méthode LIF a été mis au point. Cette technique a impliqué l'utilisation d'un laser pulsé dont le faisceau défocalisé illumine la cellule sous la forme d'une tache laser. Afin de s'affranchir de la non uniformité spatiale et temporelle de l'intensité lumineuse de cette tache, un procédé de compilation de plusieurs images brutes successives a été envisagé. Ce traitement conduit à une description fine de la zone de mélange (doigt) et l'obtention des profils longitudinaux et transversaux en concentration. La comparaison avec une autre technique de mesure, basée sur l'absorption lumineuse, a souligné les améliorations apportés par notre système tant en termes de précision que de répétabilité.
Accepted:
Published online:
Mot clés : Mécanique des fluides, Fluorescence Induite par Laser, Écoulement miscible, Cellule Hele–Shaw
Jon Mainhagu 1; Constantin Oltéan 1; Fabrice Golfier 1; Michel A. Buès 1
@article{CRMECA_2007__335_2_105_0, author = {Jon Mainhagu and Constantin Olt\'ean and Fabrice Golfier and Michel A. Bu\`es}, title = {Measurement by {Laser} {Induced} {Fluorescence} on miscible density driven flows in a {Hele{\textendash}Shaw} cell: settings and preliminary results}, journal = {Comptes Rendus. M\'ecanique}, pages = {105--112}, publisher = {Elsevier}, volume = {335}, number = {2}, year = {2007}, doi = {10.1016/j.crme.2007.01.006}, language = {en}, }
TY - JOUR AU - Jon Mainhagu AU - Constantin Oltéan AU - Fabrice Golfier AU - Michel A. Buès TI - Measurement by Laser Induced Fluorescence on miscible density driven flows in a Hele–Shaw cell: settings and preliminary results JO - Comptes Rendus. Mécanique PY - 2007 SP - 105 EP - 112 VL - 335 IS - 2 PB - Elsevier DO - 10.1016/j.crme.2007.01.006 LA - en ID - CRMECA_2007__335_2_105_0 ER -
%0 Journal Article %A Jon Mainhagu %A Constantin Oltéan %A Fabrice Golfier %A Michel A. Buès %T Measurement by Laser Induced Fluorescence on miscible density driven flows in a Hele–Shaw cell: settings and preliminary results %J Comptes Rendus. Mécanique %D 2007 %P 105-112 %V 335 %N 2 %I Elsevier %R 10.1016/j.crme.2007.01.006 %G en %F CRMECA_2007__335_2_105_0
Jon Mainhagu; Constantin Oltéan; Fabrice Golfier; Michel A. Buès. Measurement by Laser Induced Fluorescence on miscible density driven flows in a Hele–Shaw cell: settings and preliminary results. Comptes Rendus. Mécanique, Volume 335 (2007) no. 2, pp. 105-112. doi : 10.1016/j.crme.2007.01.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.01.006/
[1] Density difference driven instabilities in porous media, Granular Matter, Volume 3 (2001), pp. 63-67
[2] Dispersive mixing dynamics of dense miscible plumes: Natural perturbation initiation by local scale heterogeneities, Journal of Contaminant Hydrology, Volume 34 (1998) no. 3, pp. 247-271
[3] Gravitational instability of miscible fluids in a Hele–Shaw cell, Physics of Fluids, Volume 14 (2002) no. 2, pp. 902-905
[4] Dispersion of a soluble matter in solvent flowing slowly through a tube, Proceeding of the Royal Society of London A, Volume 219 (1953), pp. 186-203
[5] Transport with a very low density contrast in Hele–Shaw cell and porous medium: Evolution of the mixing zone, Transport in Porous Media, Volume 55 (2004), pp. 339-360
[6] Dynamics and scaling in quasi-two-dimensional turbulent convection, Physica A, Volume 239 (1997), pp. 204-210
[7] Double diffusive finger convection in a Hele–Shaw cell: An experiment exploring the evolution of concentration fields, length scales and mass transfer, Transport in Porous Media, Volume 47 (2002), pp. 195-214
[8] Growth of fingers at an unstable diffusing interface in a porous medium or Hele–Shaw cell, Journal of Fluid Mechanics, Volume 39 (1969) no. 3, pp. 477-495
[9] Penetration of fluid into a Hele–Shaw cell: The Saffman–Taylor experiment, Journal of Fluid Mechanics, Volume 97 (1980) no. 1, pp. 53-64
[10] Viscous fingering patterns of silicia suspensions in polymer solutions: effects of viscoelasticity and gravity, Physica A, Volume 246 (1997), pp. 385-398
[11] Transient convection in a porous medium, Journal of Fluid Mechanics, Volume 27 (1967), pp. 609-623
[12] Flow and temperature measurement of natural convection in a Hele–Shaw cell using a thermo-sensitive liquid–crystal tracer, Experiments in Fluids, Volume 12 (1992), pp. 213-222
[13] Development of a two-dimensional liquid species concentration measurement technique based on absorptiometry, Experimental Thermal and Fluid Science, Volume 10 (1995), pp. 113-123
[14] Stable–unstable crossover in non-Newtonian radial Hele–Shaw flow, Physica A, Volume 283 (2000), pp. 187-192
[15] Tracer dispersion of non-Newtonian fluids in a Hele–Shaw cell, Physica A, Volume 327 (2003), pp. 49-53
[16] Density driven unstable flows of miscible fluids in a Hele–Shaw cell, Journal of Fluid Mechanics, Volume 451 (2002), pp. 239-260
[17] K. Johannsen, S. Oswald, R. Held, W. Kinzelbach, Numerical simulation of three-dimensional saltwater–freshwater fingering instabilities observed in a porous medium, Advances in Water Resources (2006), in press
[18] C. Felder, Transport d'une solution saline en cellule de Hele–Shaw—Expériences et simulations numériques, PhD thesis, Institut National Polytechnique de Lorraine, 2003
[19] Mesure de la température de gouttelettes en combustion par fluorescence induite par laser à deux couleurs : résultats préliminaires et perspectives, C. R. Acad. Sci. Paris Série IIb, Volume 329 (2001), pp. 557-564
[20] On high spatial resolution scalar measurement with LIF Part 1, Experiments in Fluids, Volume 29 (2000), pp. 257-264
[21] Application of LIF to investigate gas transfer near the air–water surface in a gris-stirred tank, Experiments in Fluids, Volume 37 (2004), pp. 341-349
[22] Infiltration of salt solute in homogeneous and saturated porous media—an analytical solution evaluated by numerical simulations, Transport in Porous Media, Volume 48 (2002), pp. 61-78
[23] J.M. Strauss, M.A. Buès, Réduction d'échelle en hydrodynamique des milieux poreux : application à l'étude du transfert d'un micropolluant métallique, in: 9ième Congrès Français de Mécanique, 1989, pp. 120–121
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