Direct numerical simulation of magneto-Archimedes separation of spherical particles

Tajfirooz, Sina; Meijer, Jochem G.; Dellaert, Rik A.; Meulenbroek, Aled; Zeegers, Jch Jos; Kuerten, Johannes G.M.

doi:10.1017/jfm.2020.1001

Cited by 13 publications

(10 citation statements)

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“…By incorporating a magnetically responsive liquid and a vertical magnetic field gradient, a nonlinear pressure is generated inside the liquid [57]. Once released in the liquid at = 90 • , a disk with an adequately chosen mass density, stably levitates at the height where the gravity force cancels the net buoyancy force acting on the particle.…”

Section: F Application To a Settling Problemmentioning

confidence: 99%

“…where μ 0 is the permeability of vacuum and g is the magnitude of gravitational acceleration [57]. For a paramagnetic liquid at relatively low magnetic field strengths, the magnitude of the magnetization is a linear function of the magnitude of the magnetic field strength M = χ H, where χ denotes the magnetic susceptibility of the liquid [59].…”

Section: F Application To a Settling Problemmentioning

confidence: 99%

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Statistical-learning method for predicting hydrodynamic drag, lift, and pitching torque on spheroidal particles

et al. 2021

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Section: F Application To a Settling Problemmentioning

confidence: 99%

Section: F Application To a Settling Problemmentioning

confidence: 99%

Statistical-learning method for predicting hydrodynamic drag, lift, and pitching torque on spheroidal particles

et al. 2021

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“…Honeycombs are an essential tool to enhance flow quality and limit turbulence production in many industrial processes and scientific research. For instance, they are utilized to improve segregation performance in magnetic density separation (MDS) (Tajfirooz et al, 2021) and for controlling free-stream wind (Mikhailova et al, 1994) and water tunnel (Lumley and McMahon, 1967) turbulence. Honeycombs are particularly effective for reducing large-scale swirling fluid motion (Farell and Youssef, 1996) and prevent the uncontrollable growth of turbulence by inhibiting the lateral components of the fluctuating velocity (Loehrke and Nagib, 1976).…”

Section: Introductionmentioning

confidence: 99%

Reducing honeycomb-generated turbulence with a passive grid

Schipper

Kuerten

Zeegers

2023

Preprint

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Honeycombs are widely used to laminarize fluid streams by inhibiting the lateral components of the fluctuating velocity. However, they also produce additional turbulence by themselves due to the formation of large-scale instabilities and the break-up of the individual velocity profiles stemming from the honeycomb cells. In the present research, we use 2D-planar particle image velocimetry (PIV) to study how honeycomb-generated turbulence is affected by a downstream grid. It is found that placing a grid near the honeycomb discharge drastically enhances flow uniformity by separating the strong jets stemming from the individual honeycomb cells into many smaller jets that are much more rapidly dissipated. Furthermore, the grid can reduce the magnitude of peak turbulence intensity by as much as 95%, as long as it is positioned upstream of the onset of the large-scale honeycomb-induced instabilities. A downstream grid is highly beneficial for both a laminar and turbulent honeycomb discharge and is most effective when there is a slight offset between the grid and honeycomb. Even though longer honeycombs generally produce more turbulence than short ones due to the larger length-scale of the shear layers, these effects are almost entirely decoupled when using a honeycomb-grid combination. Finally, a honeycomb-grid combination effectively inhibits both axial and lateral turbulence.

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“…Using accurate particle size distributions, high heritage contact models, and an uncoupled fluid model, Leps and Hartzell [20] were able to match the experimentally derived yield stress results for MRFs more closely than using mono-disperse particle size distributions. Lastly, Tajfirooz et al [22] presented an Eulerian-Lagrangian approach for simulating the magneto-Archimedes separation of neutrally buoyant non-magnetic spherical particles within MRFs. A four-way coupled point-particle method [23,24] was employed, where all relevant interactions between an external magnetic field, a magnetic fluid and immersed particles were taken into account.…”

Section: Introductionmentioning

confidence: 99%

Particle-level Simulation of Magnetorheological Fluids: A Fully-Resolved Solver

Fernandes¹,

Faroughi²

2023

Preprint

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Magnetorheological fluids (MRFs) are smart materials consisting of micro-scale magnetizable particles suspended in a carrier fluid. The rheological properties of a MRF can be changed from a fluid-state to a solid-state upon the application of an external magnetic field. This study reports the development of a particle-level simulation code for magnetic solid spheres moving through an incompressible Newtonian carrier fluid. The numerical algorithm is implemented within an open-source finite-volume solver coupled with an immersed boundary method (FVM-IBM) to perform fully-resolved simulations. The particulate phase of the MRF is modeled using the discrete element method (DEM). The resultant force acting on the particles due to the external magnetic field (i.e., magnetostatic polarization force) is computed based on the Clausius-Mossotti relationship. The fixed and mutual dipole magnetic models are then used to account for the magnetic (MAG) interactions between particles. Several benchmark flows were simulated using the newly-developed FVM-IBM-DEM-MAG algorithm to assess the accuracy and robustness of the calculations. First, the sedimentation of two spheres in a rectangular duct containing a Newtonian fluid is computed without the presence of an external magnetic field, mimicking the so-called drafting-kissing-tumbling (DKT) phenomenon. The numerical results obtained for the DKT case study are verified against published data from the scientific literature. Second, we activate both the magnetostatic polarization and the dipole-dipole forces and resultant torques between the spheres for the DKT case study. Next, we study the robustness of the FVM-IBM-DEM-MAG solver by computing multi-particle chaining (i.e., particle assembly) in a two-dimensional (2D) domain for area volume fractions of 20% (260 particles) and 30% (390 particles) under vertical and horizontal magnetic fields. Finally, the fourth computational experiment describes the multi-particle chaining in a three-dimensional (3D) domain allowing to study fully-resolved MRF simulations of 580 magnetic particles under vertical and horizontal magnetic fields.

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Direct numerical simulation of magneto-Archimedes separation of spherical particles

Abstract: Abstract

Cited by 13 publications

References 50 publications

Statistical-learning method for predicting hydrodynamic drag, lift, and pitching torque on spheroidal particles

Statistical-learning method for predicting hydrodynamic drag, lift, and pitching torque on spheroidal particles

Reducing honeycomb-generated turbulence with a passive grid

Particle-level Simulation of Magnetorheological Fluids: A Fully-Resolved Solver

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