Coherent particulate structures by boundary interaction of small particles in confined periodic flows

Muldoon, Frank; Kuhlmann, Hendrik C.

doi:10.1016/j.physd.2013.02.010

Cited by 36 publications

(69 citation statements)

References 30 publications

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“…If the thickness of the layer of high volume flux adjacent to the boundary becomes of the order of the particle size the frequency of particle-boundary interactions for an individual particle can become very high in such recirculating closed flows. Since the domain of motion of the particle centroid in a typical one-way coupling approach is not restricted by the particle size, a dedicated theoretical model of particle-particle and particle-boundary interactions can make the difference between a realistic and a poor numerical prediction [7]. For this reason, the present study is devoted to the particle-boundary interaction via a fully resolved numerical simulation.…”

Section: Introductionmentioning

confidence: 99%

“…4 the results of the numerical calculations are presented, focusing on the role of the particle-boundary interaction. Based on the comparison of the fully resolved simulations with results obtained by one-way coupling supplemented by the particle-surface interaction (PSI) model of Hofmann and Kuhlmann [16] (see also [7,17]), an improved particle-surface interaction model is suggested which closely approximates the particle-motion attractors obtained by the fully resolved simulations. The influence of the particle radius and the particle-to-fluid density ratio on the particle-boundary interaction is investigated for a constant shear Reynolds number Re = 1000.…”

Section: Introductionmentioning

confidence: 99%

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Particle–boundary interaction in a shear-driven cavity flow

Romanò

Kuhlmann

2017

Theor. Comput. Fluid Dyn.

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The motion of a heavy finite-size tracer is numerically calculated in a two-dimensional shear-driven cavity. The particle motion is computed using a discontinuous Galerkin-finite-element method combined with a smoothed profile method resolving all scales, including the flow in the lubrication gap between the particle and the boundary. The centrifugation of heavy particles in the recirculating flow is counteracted by a repulsion from the shear-stress surface. The resulting limit cycle for the particle motion represents an attractor for particles in dilute suspensions. The limit cycles obtained by fully resolved simulations as a function of the particle size and density are compared with those obtained by one-way coupling using the Maxey-Riley equation and an inelastic collision model for the particle-boundary interaction, solely characterized by an interaction-length parameter. It is shown that the one-way coupling approach can faithfully approximate the true limit cycle if the interaction length is selected depending on the particle size and its relative density.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Particle–boundary interaction in a shear-driven cavity flow

Romanò

Kuhlmann

2017

Theor. Comput. Fluid Dyn.

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“…Recently, a number of both experimental Schwabe et al 2006Schwabe et al , 2007Ueno et al 2008;Melnikov et al 2013b) and numerical Pushkin et al 2011;Hofmann and Kuhlmann 2011;Kuhlmann and Hofmann 2011;Kuhlmann and Muldoon 2012;Muldoon and Kuhlmann 2013;Lappa 2013c, b) studies on dynamics of small tracers in a thermocapillary flow in a liquid bridge have been performed aiming at understanding the mechanism of the formation of PAS and finding the best conditions for its existence. It was shown that particles can form a large-scale coherent structure only in a supercritical convective oscillatory flow regime.…”

Section: Introductionmentioning

confidence: 99%

“…Hence, a trajectory followed by a fluid particle is a closed line. In a supercritical regime, when a strong traveling periodic wave is generated and the spatially complex oscillatory flow becomes azimuthally heterogeneous, a trajectory in time of a fluid particle (though the three-dimensional flow field is complicated and not all fluid particles perform such motion Muldoon and Kuhlmann 2013) in the bulk can be roughly imagined as an open helical line coiling around an imaginary torus, as shown in Fig. 1b.…”

Section: Introductionmentioning

confidence: 99%

“…Each of the PAS-forming particles performs an identical periodic motion. This identity is emerging in response to the nonconservative forces acting on inertial particles (Melnikov et al 2013b;Pushkin et al 2011;Kuhlmann et al 2014) and/or to repeatable interactions with the boundaries (Muldoon and Kuhlmann 2013;Kuhlmann et al 2014), whereas the particles do not directly interact with each other. Thus, formation of a particulate structure is a characteristic of the flow in terms of the potential of providing the identity between the particles, which is mandatory for them to establish a coherent structure.…”

Section: Introductionmentioning

confidence: 99%

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Experimental Study on Formation of Particle Accumulation Structures by a Thermocapillary Flow in a Deformable Liquid Column

Melnikov

Watanabe

Matsugase

et al. 2014

Microgravity Sci. Technol.

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A series of experiments has been performed under earth's gravity to study formation of particle accumulation structures (PAS) in a supercritical flow driven by the combined effects of buoyancy and thermocapillary forces. The test flow was created in a non-isothermal cylindrical column (liquid bridge) made of n-decane and heated from above. The objective of the experiment was to answer two major questions: (1) how strong is the influence of the shape of the interface on the process of formation of PAS;(2) what temperature of the ambient air fits better for PAS to occur. Considering these questions, we developed a method based on changing both the volume of the liquid bridge and temperature at the external walls of the experimental chamber to set and to keep constant the shape of the interface and the temperature inside the setup, respectively. The experimental observations are presented in the form of diagrams in the parameters' space showing ranges of the PAS formation. The findings show that a liquid bridge with an interface as close to the straight cylindrical as possible and surrounded by air at low temperature is the best terrain for D. Melnikov ( ) · V. Shevtsova Université Libre de Bruxelles (ULB), MRC, CP-165/62, PAS formation. The results of the chaos analysis of the recorded temperature time series and their correlation with the obtained diagrams allow for showing that accumulation of particles in coherent structures is possible only in a periodic oscillatory flow characterized by a small value of the translation error not exceeding 0.01. It is demonstrated that presence of either any spectral noise or of several modes with incommensurate frequencies makes formation of a PAS impossible.

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Interaction of a finite‐size particle with the moving lid of a cavity

Romanò

Kuhlmann

2015

Proc Appl Math and Mech

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The motion of a solid particle in a lid-driven cavity is investigated. If the tangential velocity of the lid is large the streamlines are dense near the moving lid and the finite size of a particle can have a profound effect on its trajectory. To assess this effect different particle-motion models are examined: inertial point particles (Maxey-Riley equation) one-way coupled to the flow and finite-size particles the flow around which is fully resolved (two-way coupling). We compare the corresponding trajectories with those obtained using the particle-surface interaction model originally introduced by Hofmann and Kuhlmann [Phys. Fluids 23, 0721106 (2011)]. The finite-size effect on the particle's trajectory is quantified and discussed.

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Coherent particulate structures by boundary interaction of small particles in confined periodic flows

Cited by 36 publications

References 30 publications

Particle–boundary interaction in a shear-driven cavity flow

Particle–boundary interaction in a shear-driven cavity flow

Experimental Study on Formation of Particle Accumulation Structures by a Thermocapillary Flow in a Deformable Liquid Column

Interaction of a finite‐size particle with the moving lid of a cavity

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