scholarly journals Influence of walls on the migration of non-Brownian spherical particles in creeping flow: a lattice Boltzmann study

2011 ◽  
Vol 369 (1945) ◽  
pp. 2387-2395 ◽  
Author(s):  
Ernesto Monaco ◽  
Gunther Brenner
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Creeping Flow ◽  
Spherical Particles ◽  
Particle Displacement ◽  
Initial Particle ◽  
Preliminary Results ◽  
Monodisperse Suspensions ◽  
Different Diameters ◽  
Boltzmann Method

The influence of walls on binary encounters of spherical particles under creeping flow is studied by means of the lattice Boltzmann method. Depending on the initial particle displacement different behaviours can be observed, including the ‘swapping’ trajectories. The domain of the swapping trajectories is identified for interacting spheres with the same diameter; some preliminary results are given for the case of two spheres with different diameters. Finally, the influence of particle swapping on the dynamics of monodisperse suspensions is also described.

scholarly journals Lattice Boltzmann method used to simulate particle motion in a conduit

2017 ◽  
Vol 65 (2) ◽  
pp. 105-113 ◽  
Author(s):  
Jindřich Dolanský ◽  
Zdeněk Chára ◽  
Pavel Vlasák ◽  
Bohuš Kysela
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Particle Motion ◽  
Three Dimensional ◽  
Hydrodynamic Forces ◽  
Spherical Particles ◽  
Momentum Exchange ◽  
Carrier Liquid ◽  
Particle Tracking Method ◽  
Boltzmann Method

AbstractA three-dimensional numerical simulation of particle motion in a pipe with a rough bed is presented. The simulation based on the Lattice Boltzmann Method (LBM) employs the hybrid diffuse bounce-back approach to model moving boundaries. The bed of the pipe is formed by stationary spherical particles of the same size as the moving particles. Particle movements are induced by gravitational and hydrodynamic forces. To evaluate the hydrodynamic forces, the Momentum Exchange Algorithm is used. The LBM unified computational frame makes it possible to simulate both the particle motion and the fluid flow and to study mutual interactions of the carrier liquid flow and particles and the particle–bed and particle–particle collisions. The trajectories of simulated and experimental particles are compared. The Particle Tracking method is used to track particle motion. The correctness of the applied approach is assessed.

The analysis of the relations between porosity and tortuosity in granular beds

2017 ◽  
Vol 1 (20) ◽  
pp. 75-85 ◽  
Author(s):  
Wojciech Sobieski ◽  
Seweryn Lipiński
Keyword(s):  
Lattice Boltzmann ◽  
Creeping Flow ◽  
Spherical Particles ◽  
Particle Sizes ◽  
Granular Bed ◽  
Tracking Method ◽  
Bed Porosity ◽  
Relative Errors ◽  
Boltzmann Method ◽  
Path Tracking Method

In the paper, functions describing different porosity-tortuosity relations were collected, and then the tortuosity values were calculated for a one granular bed consisting of spherical particles with normal distribution of diameters. Information about the bed porosity and particle sizes was obtained from measurements conducted for an artificial granular bed, consisting of glass marbles. The results of calculations were compared with the results of two other methods of tortuosity determination, performed for the same case (details are not described in this paper): the first of them uses the Path Tracking Method, the second one - information about the velocity components in a creeping flow (the Lattice-Boltzmann Method was applied to obtain the velocity field in the flow). The main aim of our article was to test whether the functions linking tortuosity with porosity, which are available in the literature, give similar results as the methods described above. To achieve this aim, the relative errors between results of calculations for the collected formulas and values from the both previous mentioned methods were calculated.

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