Collision rate constant for non-spherical particles moving under shear flow

Gruy, Frédéric; Nortier, Patrice

doi:10.1016/j.colsurfa.2017.03.037

Cited by 2 publications

(2 citation statements)

References 41 publications

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“…The two calculation methods ( §2 and §3) have been applied to a set of two colliding ellipsoids. Ellipsoids 1 and 2 are such as: In a previous paper [13] we established an empirical expression for the collision rate constant valid for particles having a simple shape: bodies with high symmetry as sphere, spheroids, needles, discs. The collision rate constant may be expressed as:…”

Section: Kernel For Ellipsoids Collisionmentioning

confidence: 99%

Statistics about collisions of ellipsoids under shear flow

Gruy

Nortier

2018

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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Shear aggregation is an important phenomenon occurring during particle precipitation in a stirred chemical reactor. It concerns micro-particles that are often non-spherical or aggregated.Modelling of precipitation involves the selection of internal parameters describing the particle. Among them, morphological or geometrical descriptors are required. In this paper, the inertia or gyration tensor of primary particles and of their cluster is considered and evaluated for the modelling of aggregation. An equivalent ellipsoid is defined from the inertia tensor. In this framework, the collision event becomes the collision between two equivalent ellipsoids and leads to a larger ellipsoid. The inertia tensor and the semi-axis lengths of the equivalent ellipsoid are explicitly calculated in the case of shear aggregation in a three-dimensional space.Two ways for performing these calculations are presented. The statistics of the equivalent ellipsoids associated with the set of collision events undergone by two given ellipsoids have been computed. Statistics includes the probability density for geometrical parameters and the average value. Collision rate constant, i.e. aggregation kernel, is also calculated.

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Section: Kernel For Ellipsoids Collisionmentioning

confidence: 99%

Statistics about collisions of ellipsoids under shear flow

Gruy

Nortier

2018

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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“…They observed a significant enhancement of the collision rate of disk-like or rod-like particles compared with spherical ones, and highlighted the importance of particle orientation in the collision of non-spherical particles. Furthermore, by means of the Monte Carlo simulation, Gruy & Nortier (2017) investigated the collision rate of spheroidal particles in a linear shear flow, and found that the size and shape of particles can influence the collision rate.…”

Section: Particle Collisionsmentioning

confidence: 99%

Settling and collision of spheroidal particles with an offset mass centre in a quiescent fluid

Jiang,

Xu,

Zhao

2024

J. Fluid Mech.

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Gravitational sedimentation and the collision of particles play key roles in various natural and engineering processes. In practice, particles are often non-spherical in shape with non-uniform mass distribution. In this study we investigate how the mass eccentricity influences the settling and gravitational collision of non-spherical particles in a quiescent fluid. Firstly, we theoretically analyse the effect of mass centre offset on the settling motion of a single spheroid under the low-Reynolds-number assumption. We find that the competition of fluid-inertia torque and gravitational torque determines the terminal settling mode of the spheroid. As the mass centre offset increases from zero to a critical value, the orientation of a settling spheroid undergoes a transition from the broad-side-on to narrow-side-on alignment. With an intermediate mass centre offset, the settling spheroid prefers an oblique orientation with a horizontal drift. Secondly, we investigate the gravitational collision rate of settling spheroids. With the change of particle orientation, the collision kernel exhibits a non-monotonic variation with a maximum when particles settle with an intermediate oblique orientation. Therefore, adjusting the mass centre offset to alter particle orientation can indirectly affect the collision rate of settling spheroidal particles. In summary, our findings reveal the significance of the mass eccentricity on particle dynamics in fluid flows, and suggest a potential approach for manipulating the settling motion and collision rate of non-spherical particles by adjusting their mass centre position.

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Collision rate constant for non-spherical particles moving under shear flow

Cited by 2 publications

References 41 publications

Statistics about collisions of ellipsoids under shear flow

Statistics about collisions of ellipsoids under shear flow

Settling and collision of spheroidal particles with an offset mass centre in a quiescent fluid

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