Experimental investigation on the history force acting on oscillating fluid spheres at low Reynolds number

Abbad, Mustapha; Souhar, M.

doi:10.1063/1.1779051

Cited by 18 publications

(10 citation statements)

References 27 publications

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“…Maxey et al (1996) found that up to Re p ≈ 17 the standard form (1.2) "may be quite adequate in practice even though not justified by theory". In an experimental study Abbad & Souhar (2004) considered particle Reynolds numbers of up to 0.5 and found the standard form to remain valid. In our simulations the typical Re p is smaller or on the order of unity (except for ̺ = 0 and St > 2, when it becomes larger than 3).…”

Section: The Stokes Numbermentioning

confidence: 99%

On the role of the history force for inertial particles in turbulence

Daitche

2015

J. Fluid Mech.

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The history force is one of the hydrodynamic forces which act on a particle moving through a fluid. It is an integral over the full time history of the particle's motion and significantly complicates the equations of motion (accordingly it is often neglected). We present here a study of the influence of this force on particles moving in a turbulent flow, for a wide range of particle parameters. It is shown that the magnitude of history force can be significant and that it can have a considerable effect on the particles' slip velocity, acceleration, preferential concentration and collision rate. We also investigate the parameter dependence of the strength of these effects.

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Section: The Stokes Numbermentioning

confidence: 99%

On the role of the history force for inertial particles in turbulence

Daitche

2015

J. Fluid Mech.

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“…In non-chaotic flows, the history force was shown to have important effects [21][22][23][24][25]. A particularly interesting example is an experiment [26,27] that points out the determining importance of memory in the motion of microbubbles propelled by ultrasound.…”

Section: Introductionmentioning

confidence: 99%

Memory effects in chaotic advection of inertial particles

Daitche

Tél

2014

New J. Phys.

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A systematic investigation of the effect of the history force on particle advection is carried out for both heavy and light particles. General relations are given to identify parameter regions where the history force is expected to be comparable with the Stokes drag. As an illustrative example, a paradigmatic two-dimensional flow, the von Kármán flow is taken. For small (but not extremely small) particles all investigated dynamical properties turn out to heavily depend on the presence of memory when compared to the memoryless case: the history force generates a rather non-trivial dynamics that appears to weaken (but not to suppress) inertial effects, it enhances the overall contribution of viscosity. We explore the parameter space spanned by the particle size and the density ratio, and find a weaker tendency for accumulation in attractors and for caustics formation. The Lyapunov exponent of transients becomes larger with memory. Periodic attractors are found to have a very slow, − t 1/2 type convergence towards the asymptotic form. We find that the concept of snapshot attractors is useful to understand this slow convergence: an ensemble of particles converges exponentially fast towards a snapshot attractor, which undergoes a slow shift for long times.

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“…In the literature there are many experimental studies on the effect of hydrodynamic forces acting on macroscopic particle motion at low and moderate particle Reynolds numbers [10][11][12][13][14]. This prompted us to investigate, numerically and experimentally, how each hydrodynamics force affects the particle motion at high particle Reynolds numbers.…”

Section: Resultsmentioning

confidence: 99%

“…Results obtained recently for the motion of particles in supersonic flow across oblique shocks showed that the Basset force could be even more significant than the Stokes drag force [10]. Abbad et al [11,12] did experiments to study a free-falling rigid sphere in a quiescent incompressible Newtonian fluid, placed in an oscillating frame. They investigated, numerically, the effect of the history force acting on the sphere at small-particle Reynolds numbers (Re p ≤ 2.5).…”

Section: Introductionmentioning

confidence: 99%

On the effect of gravitational and hydrodynamic forces on particle motion in a quiescent fluid at high particle Reynolds numbers

Rostami¹,

Ardeshir²,

Ahmadi³

et al. 2008

Can. J. Phys.

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Trajectories of 5 and 10 mm metallic and plastic particles in a quiescent liquid during their sedimentation toward a plate were studied using experimental and numerical means, and the influence of gravity, drag, added mass, and history forces were evaluated. Variations of particle diameter and density allowed measurements at Reynolds numbers, based on the impact velocity, in the range of 1 000 to 13 000. A computer model was developed and the Lagrangian equation of particle motion was solved. The results showed that the combination of gravity, drag, and added mass forces are important for the simulation of the motion of small particles for the duration of their flight from the starting point to the wall impact, in the range of particle Reynolds numbers between 1000 and 5000. Comparison of the simulation results with the data showed that the predicted trajectories underestimated the experimental observations by about 1% to 4.3%. When the history force was included in the governing equation, however, excellent agreement between the measured and predicted particle trajectory was obtained. Experimental results for the motion of large particles showed oscillations in the time history of particle velocity when the particle Reynolds number was in the range of 3 000 to 13 000. Repeating the experiment, and averaging the data of a large number of experiments, yielded averaged curves for the particle velocity that did not show oscillatory values. In this case, good agreement between numerical and experimental data was observed. The study also shows that at high particle Reynolds numbers, the effect of the history force becomes negligibly small. Résumé :Nous étudions expérimentalement et numériquement les trajectoires de particules de plastique et de métal de 5 et 10 mm dans un liquide au repos pendant leur sédimentation vers une plaque et évaluons l'influence de la gravité, de la résistance hydrodynamique de la masse ajoutée et des forces de Boussinesq. Variant le diamètre et la densité des particules et mesurant la vitesse d'impact nous a permis de déterminer des valeurs du nombre de Reynolds entre 1 000 et 13 000. Nous avons développé un modèle numérique et solutionné les équations de mouvement de Lagrange. Les résultats montrent que la gravité, la résistance et la masse ajoutée ont un effet important dans la simulation du mouvement des petites particules pendant leur trajectoire entre le point de départ et l'impact sur le mur, pour un nombre de Reynolds entre 1000 et 5000. La comparaison avec les observations montre que les simulations sous-estiment les trajectoires par 1 à 4,3 %. L'ajout des forces de Boussinesq permet alors aux trajectoires calculées d'être en excellent accord avec les trajectoires observées. Les expériences avec des particules plus grosses ont montré des oscillations dans l'évolutions temporelle de la vitesse, lorsque le nombre de Reynolds était entre 3 000 et 13 000. En répétant les expériences et en prenant la moyenne sur un grand nombre d'expériences nous obtenons des trajectoires moyennes sans os...

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Experimental investigation on the history force acting on oscillating fluid spheres at low Reynolds number

Cited by 18 publications

References 27 publications

On the role of the history force for inertial particles in turbulence

On the role of the history force for inertial particles in turbulence

Memory effects in chaotic advection of inertial particles

On the effect of gravitational and hydrodynamic forces on particle motion in a quiescent fluid at high particle Reynolds numbers

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