Particle accumulation in high‐Prandtl‐number liquid bridges

Barmak, Ilya; Romanò, Francesco; Kuhlmann, Hendrik C.

doi:10.1002/pamm.201900058

Cited by 9 publications

(2 citation statements)

References 8 publications

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“…This has been confirmed by comparison with fully-resolved simulations [26,27] and experiments [28]. Moreover, recent studies show that the same non-trivial physics is predicted by employing the PSI model and more physically-sound interaction forces such as the augmented Stokes drag of [6], see [14,15,29].…”

Section: Problem Formulationsupporting

confidence: 61%

Particle Coherent Structures in Confined Oscillatory Switching Centrifugation

Romanò

2021

Crystals

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A small spherical rigid particle in a cylindrical cavity is considered. The harmonic rotation of the cavity wall drives the background flow characterized by the Strouhal number Str, assumed as the first parameter of our investigation. The particle immersed in the flow (assumed Stokesian) has a Stokes number St=1 and a particle-to-fluid density ratio ϱ which is assumed as the second parameter of this study. Building on the theoretical understanding of the recently discovered oscillatory switching centrifugation for inertial particles in unbounded flows, we investigate the effect of a confinement. For the first time we study how the presence of a wall affects the particle trajectory in oscillatory switching centrifugation dynamics. The emergence of two qualitatively different particle attractors is characterized for particles centrifuged towards the cavity wall. The implication of two such classes of attractors is discussed focusing on the application to microfluidics. We propose some strategies for exploiting the confined oscillatory switching centrifugation for selective particle segregation and for the enhancement of particle interaction events.

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Section: Problem Formulationsupporting

confidence: 61%

Particle Coherent Structures in Confined Oscillatory Switching Centrifugation

Romanò

2021

Crystals

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“…Since then, PAS in thermocapillary liquid bridges has received increasing attention both experimentally [9][10][11][12][13] and numerically [14][15][16][17][18][19]. PAS in a liquid bridge has been experimentally observed only when the flow arises as a three-dimensional azimuthally traveling hydrothermal wave (HTW).…”

Section: Introductionmentioning

confidence: 99%

Finite-size coherent particle structures in high-Prandtl-number liquid bridges

2021

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The transport of liquid and of small rigid spherical particles in a high-Prandtl-number (Pr = 68) thermocapillary liquid bridge under zero gravity is studied by highly resolved numerical simulations when the flow arises as an azimuthally traveling hydrothermal wave with azimuthal wave number one. The Langrangian transport of fluid elements reveals the coexistence of regular and chaotic streamlines in the frame of reference rotating with the wave. The structure of the KAM (Kolmogorov-Arnold-Moser) tori is unraveled for several Reynolds numbers for which the flow is periodic in time and space. Based on the streamline topology the segregation of small rigid spherical particles of a dilute suspension into particle accumulation structures (PASs) is studied, based on the steric finite-particlesize effect when the particles moves close to the free surface. It is shown that the intricate KAM structures have their counterparts in a multitude of different attractors for the particle motion. Examples of PASs are provided, and their dependence on particle size, particle-tofluid density ratio, and Reynolds number are discussed. A large parametric study reveals the most probable combinations of particle size and density ratio which lead to particle clustering.

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Coherent Particle Structures in High-Prandtl-Number Liquid Bridges

Barmak

Romanò

Kannan

et al. 2021

Microgravity Sci. Technol.

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Clustering of small rigid spherical particles into particle accumulation structures (PAS) is studied numerically for a high-Prandtl-number (Pr = 68) thermocapillary liquid bridge. The one-way-coupling approach is used for calculation of the particle motion, modeling PAS as an attractor for a single particle. The attractor is created by dissipative forces acting on the particle near the boundary due to the finite size of the particle. These forces can dramatically deflect the particle trajectory from a fluid pathline and transfer it to certain tubular flow structures, called Kolmogorov–Arnold–Moser (KAM) tori, in which the particle is focused and from which it might not escape anymore. The transfer of particles can take place if a KAM torus, which is a property of the flow without particles, enters the narrow boundary layer on the flow boundaries in which the particle experiences extra forces. Since the PAS obtained in this system depends mainly on the finite particle size, it can be classified as a finite-size coherent structure (FSCS).

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Particle accumulation in high‐Prandtl‐number liquid bridges

Cited by 9 publications

References 8 publications

Particle Coherent Structures in Confined Oscillatory Switching Centrifugation

Particle Coherent Structures in Confined Oscillatory Switching Centrifugation

Finite-size coherent particle structures in high-Prandtl-number liquid bridges

Coherent Particle Structures in High-Prandtl-Number Liquid Bridges

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