https://hal-ifp.archives-ouvertes.fr/hal-02014282Alméras, EliseEliseAlmérasIMFT - Institut de mécanique des fluides de Toulouse - UT3 - Université Toulouse III - Paul Sabatier - Université Fédérale Toulouse Midi-Pyrénées - CNRS - Centre National de la Recherche Scientifique - Toulouse INP - Institut National Polytechnique (Toulouse) - Université Fédérale Toulouse Midi-PyrénéesIFPEN - IFP Energies nouvelles - IFPEN - IFP Energies nouvellesRisso, FrédéricFrédéricRissoIMFT - Institut de mécanique des fluides de Toulouse - UT3 - Université Toulouse III - Paul Sabatier - Université Fédérale Toulouse Midi-Pyrénées - CNRS - Centre National de la Recherche Scientifique - Toulouse INP - Institut National Polytechnique (Toulouse) - Université Fédérale Toulouse Midi-PyrénéesRoig, VéroniqueVéroniqueRoigIMFT - Institut de mécanique des fluides de Toulouse - UT3 - Université Toulouse III - Paul Sabatier - Université Fédérale Toulouse Midi-Pyrénées - CNRS - Centre National de la Recherche Scientifique - Toulouse INP - Institut National Polytechnique (Toulouse) - Université Fédérale Toulouse Midi-PyrénéesPlais, CécileCécilePlaisIFPEN - IFP Energies nouvelles - IFPEN - IFP Energies nouvellesAugier, FrédéricFrédéricAugierIFPEN - IFP Energies nouvelles - IFPEN - IFP Energies nouvellesMixing mechanism in a two-dimensional bubble columnHAL CCSD2018multiphase flowsbubblesHele-Shaw cellMixing bubblesBubbly flow[PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]Couëdel, Nadine2019-04-09 14:58:052022-07-04 09:19:452019-04-18 17:55:17enJournal articleshttps://hal-ifp.archives-ouvertes.fr/hal-02014282/document10.1103/PhysRevFluids.3.074307application/pdf1The present contribution investigates the mixing of a passive scalar by a homogeneous bidimensional bubble swarm rising at high Reynolds number in a liquid initially at rest. Mixing experiments are performed in a Hele-Shaw cell for gas volume fractions α ranging from 3.0% to 14.0%. A weakly diffusive passive dye is injected within the swarm, and the temporal evolution of the spatial distribution of concentration is measured. The vertical distribution of concentration shows an upward propagation and a spreading due to the mixing induced by the unsteady open wakes of the bubbles. A one-dimensional large-scale model involving an intermittent and convective mechanism has been developed to describe the global evolution of the concentration distribution in the vertical direction. Based on experimental observations, it assumes that each bubble catches a given volume of ﬂuid V t in its wake and transports it over a certain length L before releasing it. A good agreement is found between the experimental concentration proﬁles measured in the vertical direction and the model prediction. The comparison between the model and the experiments allows the determination of the transported volume V t and the transport length L as a function of the gas volume fraction. It appears that the transported volume is related to the characteristic length of the velocity deﬁcit at the rear of the bubble. The transport length, which is related to the correlation length of the dye patches, shows two regimes. At low gas volume fraction, it is controlled by the viscous length related to the ﬂow damping at the walls, whereas, at higher gas volume fraction, it is limited by the distance between two successive bubbles. The mixing properties are ﬁnally characterized from the ﬁrst three-order moments of the dye distribution, which are determined by means of the model. The upward propagation of the dye is shown to scale as αV , where V is the bubble rise velocity. The spreading of the concentration distribution is characterized by an effective diffusivity, which presents strong similarities with the diffusion coefﬁcient measured in a three-dimensional bubble column [Alméras et al. J. Fluid Mech. 776, 458 (2015)]. At low gas volume fraction, it √ increases as α, whereas it saturates at high gas volume fraction. The dye distribution also is asymmetric with a signiﬁcant skewness coefﬁcient which slowly decreases in time. Therefore, the dye transport cannot be described as a purely diffusive process over the time required for the dye to spread over the cell.