On the drag force of bubbles in bubble swarms at intermediate and high Reynolds numbers

Roghair, I.; Lau, Y.M.; Deen, NG Niels; Slagter, HM Mariet; Baltussen, M.W.; Annaland, Martin van Sint; Kuipers, J.A.M.

doi:10.1016/j.ces.2011.02.030

Cited by 147 publications

(102 citation statements)

References 23 publications

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“…Thomas et al (2010) examine the collision of a fluid drop with a wall and develop a multiscale approach to compute the flow in the film between the drop and the wall. In addition, the front tracking method has been extensively used in simulation of homogeneous bubbly flows, for instance in Tryggvason et al (2013) and Roghair et al (2011). Pan et al (2008) carried out numerical simulations and experiments of the dynamics of head-on collision between two identical droplets.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, in conventional level-set and volume-of-fluid methods, two fluid particles will automatically coalesce when their interfaces are close enough from each other. Indeed, up to now, most research on systems with multiple droplets or bubbles have been performed using the front-tracking method (Roghair et al, 2011;Tryggvason et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A multiple marker level-set method for simulation of deformable fluid particles

Balcázar

Lehmkuhl

Rigola

et al. 2015

International Journal of Multiphase Flow

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A novel multiple marker level-set method is introduced for Direct Numerical Simulation of deformable fluid particles (bubbles and droplets), which is integrated in a finite-volume framework on collocated unstructured grids. Each fluid particle is described by a separate level-set function, thus, different interfaces can be solved in the same control volume, avoiding artificial and potentially unphysical coalescence of fluid particles. Therefore, bubbles or droplets are able to approach each other closely, within the size of one grid cell, and can even collide. The proposed algorithm is developed in the context of the conservative level-set method, whereas, surface tension is modeled by the continuous surface force approach. The pressure-velocity coupling is solved by the fractional-step projection method. For validation of the proposed numerical method, the gravity-driven impact of a droplet on a liquid-liquid interface is studied; then, the binary droplet collision with bouncing outcome is examined, and finally, it is applied on simulation of gravity-driven bubbly flow in a vertical column.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A multiple marker level-set method for simulation of deformable fluid particles

Balcázar

Lehmkuhl

Rigola

et al. 2015

International Journal of Multiphase Flow

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“…A remarkable set of papers 5,6,[13][14][15] study bubbly flows in which the interaction between the flow and a large number of bubbles is studied. In particular, turbulent flows can be significantly affected by bubbliness.…”

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confidence: 99%

Dynamics of an initially spherical bubble rising in quiescent liquid

2015

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“…When the terminal rise velocity decreases, this is due to a hindrance effect similar to a "crowding" effect; when it decreases, this is usually attributed to a drag reduction due to bubble wakes which operates as a cooperative effect. Also, a transition between hindered and cooperative rise has often been reported in bubbly flows in the air/water system at increasing / values (Roghair et al, 2011). More precisely, cooperative rise usually results from the aspiration of small bubbles in the wake of larger bubbles.…”

Section: Stability Of Foamy Fluidsmentioning

confidence: 99%

Development of a Model Foamy Viscous Fluid

Vial

Narchi²

2013

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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IFP Energies nouvelles International Conference Rencontres Scientifiques d'IFP Energies nouvellesRe´sume´-De´veloppement d'un mode`le de dispersion gaz-liquide de type mousse liquide visqueuse -L'objectif est de de´velopper un fluide mode`le repre´sentatif des « mousses liquides », c'est-a`-dire pre´sentant un taux de vide en dec¸a`de l'empilement ale´atoire de sphe`res, dont les proprie´te´s rhe´ologiques et la stabilite´peuvent eˆtre pre´dites. Tout d'abord, la pre´paration de ces fluides mode`les sera de´crite a`la fois en termes de formulation et de proce´de´s. Ensuite, les re´sultats expe´rimentaux seront discute´s. Ceux-ci montrent que des mousses liquides visqueuses mode`les pre´sentant une distribution de tailles de bulles monomodales ont e´te´obtenues avec un taux de vide entre 25 % et 50 % (v/v). Leurs proprie´te´s viscoe´lastiques en e´coulement et aux faibles de´formations re´sultent des interactions entre la formulation de la phase continue, le taux de vide et le diame`tre des bulles. Leur viscosite´apparente peut eˆtre de´crite par un mode`le de Cross et la viscosite´a`cisaillement nul peut eˆtre pre´dite par le mode`le de Mooney jusqu'a`un taux de gaz de 40 %. Les mesures en mode harmonique ont montre´que les re`gles de CoxMerz et de Laun s'appliquent quand le nombre capillaire Ca est infe´rieur a`0,1. L'e´tendue du plateau Newtonien a`faible cisaillement de´croıˆt lorsque le taux de vide augmente ou lorsque la taille des bulles diminue. Dans le domaine rhe´ofluidifiant, la contrainte de cisaillement varie proportionnellement a`Ca 1/2 , comme dans les mousses humides pre´sentant des interfaces immobilise´es. Finalement, les mousses liquides visqueuses obtenues ont pu eˆtre cisaille´es jusqu'a`des valeurs de Ca de 0,1 sans modifier leur microstructure. La stabilite´de ces fluides au repos atteint plusieurs heures et elle augmente avec le taux de vide a`cause des contraintes ste´riques entre les bulles ; ils constituent donc des fluides mode`les inte´ressants pour l'e´tude des mousses liquides visqueuses pre´sentant un taux de vide en dec¸a`de l'empilement ale´atoire de sphe`res.Abstract -Development of a Model Foamy Viscous Fluid -The objective is to develop a model viscous foamy fluid, i.e. below the very wet limit, the rheological and stability properties of which can be tuned. First, the method used for the preparation of foamy fluids is detailed, including process and formulation. Then, experimental results highlight that stable foamy fluids with a monomodal bubble size distribution can be prepared with a void fraction between 25% and 50% (v/v). Their viscoelastic properties under flow and low-strain oscillatory conditions are shown to result from the interplay between the formulation of the continuous phase, void fraction and bubble size. Their apparent viscosity can be described using the Cross equation and zero-shear Newtonian viscosity may be predicted by a Mooney equation up to a void fraction about 40%. The Cox-Merz and the 2013129 Laun's rules apply when the capillary number Ca is low...

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On the drag force of bubbles in bubble swarms at intermediate and high Reynolds numbers

Cited by 147 publications

References 23 publications

A multiple marker level-set method for simulation of deformable fluid particles

A multiple marker level-set method for simulation of deformable fluid particles

Dynamics of an initially spherical bubble rising in quiescent liquid

Development of a Model Foamy Viscous Fluid

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