Numerical study of a sphere descending along an inclined slope in a liquid

Zhang, Chuanhu; Soga, Kenichi; Kumar, Krishna; Sun, Qiang; Feng, Jian

doi:10.1007/s10035-017-0768-8

Cited by 8 publications

(13 citation statements)

References 33 publications

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“…Chhabra & Ferreira 1999) and numerical (e.g. Zhang et al 2017) studies have focussed mainly on the drag coefficient and the motion history of the rolling sphere.…”

Section: Introductionmentioning

confidence: 99%

Wake dynamics and flow-induced vibration of a freely rolling cylinder

et al. 2020

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“…Chhabra & Ferreira 1999) and numerical (e.g. Zhang et al 2017) studies have focussed mainly on the drag coefficient and the motion history of the rolling sphere.…”

Section: Introductionmentioning

confidence: 99%

Wake dynamics and flow-induced vibration of a freely rolling cylinder

et al. 2020

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“…The number of time steps needed increases dramatically with the decrease of the relaxation time and the corresponding increase of the particle Reynolds number Re. After running for sufficient time, the saturated values of |V p −ū| approximate the terminal velocities V t , which enters Equation 26 for the calculation of the drag force acting on the sphere. The relative deviation of the drag force depending on the choice of the relaxation time is shown in Figure 3B.…”

Section: Terminal Velocity Of a Single Spherementioning

confidence: 99%

“…While conventional computational fluid dynamics (CFD) methods couple the drag forces on solid particles locally into the Navier-Stokes equations, 22 direct numerical simulation (DNS) techniques such as the lattice Boltzmann method (LBM) 23,24 resolve hydrodynamic interactions at the pore scale and maintain the momentum balance at no-slip fluid-solid interfaces. [25][26][27][28] Conventional CFD methods are sufficient for modeling dilute suspensions of particles in which local pore-scale fluid flow is not essential, whereas DNS techniques are better suited for fully/partially saturated dense granular media. Most DNS techniques (eg, coupled FEM-DEM) require adaptive remeshing around particles that move in the fluid, with high computational costs.…”

Section: Introductionmentioning

confidence: 99%

“…Depending on the spatial and temporal resolution of hydrodynamic interactions in the pore fluid, various fluid‐solid coupling methods have been proposed for dense or loose granular materials submerged in viscous fluids. While conventional computational fluid dynamics (CFD) methods couple the drag forces on solid particles locally into the Navier‐Stokes equations, direct numerical simulation (DNS) techniques such as the lattice Boltzmann method (LBM) resolve hydrodynamic interactions at the pore scale and maintain the momentum balance at no‐slip fluid‐solid interfaces . Conventional CFD methods are sufficient for modeling dilute suspensions of particles in which local pore‐scale fluid flow is not essential, whereas DNS techniques are better suited for fully/partially saturated dense granular media.…”

Section: Introductionmentioning

confidence: 99%

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Hydro‐micromechanical modeling of wave propagation in saturated granular crystals

Cheng

Luding

Rivas

et al. 2019

Num Anal Meth Geomechanics

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Summary Biot theory predicts wave velocities in a saturated granular medium using the pore geometry, viscosity, densities, and elastic moduli of the solid skeleton and pore fluid, neglecting the interaction between constituent particles and local flow, which becomes essential as the wavelength decreases. Here, a hydro‐micromechanical model, for direct numerical simulations of wave propagation in saturated granular media, is implemented by two‐way coupling the lattice Boltzmann method (LBM) and the discrete element method (DEM), which resolve the pore‐scale hydrodynamics and intergranular behavior, respectively. The coupling scheme is benchmarked with the terminal velocity of a single sphere settling in a fluid. In order to mimic a small amplitude pressure wave entering a saturated granular medium, an oscillating pressure boundary on the fluid is implemented and benchmarked with the one‐dimensional wave equation. The effects of input waveforms and frequencies on the dispersion relations in 3D saturated poroelastic media are investigated with granular face‐centered‐cubic crystals. Finally, the pressure and shear wave velocities predicted by the numerical model at various effective confining pressures are found to be in excellent agreement with Biot analytical solutions, including his prediction for slow compressional waves.

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“…For this, the Lattice-Boltzmann Method (LBM) is used as an especially well-suited numerical scheme to approximate the transient Navier-Stokes equations with moving boundaries [29,[32][33][34]. The oblique collisions between a single particle and a solid wall surface in liquid influencing by hydro dynamical forces in contact have been simulated with LBM-DEM by Zhang et al [35] with particular attention on rolling and sliding effects. Other research articles present the usage of CFD-DEM with the LBM to simulate the spouted gas fluidized beds [36,37].…”

Section: Introductionmentioning

confidence: 99%

A Coupled CFD-DEM Model for Resolved Simulation of Filter Cake Formation during Solid-Liquid Separation

Puderbach

Schmidt²,

Antonyuk

2021

Processes

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In cake filtration processes, where particles in a suspension are separated by forming a filter cake on the filter medium, the resistances of filter cake and filter medium cause a specific pressure drop which consequently defines the process energy effort. The micromechanics of the filter cake formation (interactions between particles, fluid, other particles and filter medium) must be considered to describe pore clogging, filter cake growth and consolidation correctly. A precise 3D modeling approach to describe these effects is the resolved coupling of the Computational Fluid Dynamics with the Discrete Element Method (CFD-DEM). This work focuses on the development and validation of a CFD-DEM model, which is capable to predict the filter cake formation during solid-liquid separation accurately. The model uses the Lattice-Boltzmann Method (LBM) to directly solve the flow equations in the CFD part of the coupling and the DEM for the calculation of particle interactions. The developed model enables the 4-way coupling to consider particle-fluid and particle-particle interactions. The results of this work are presented in two steps. First, the developed model is validated with an empirical model of the single particle settling velocity in the transition regime of the fluid-particle flow. The model is also enhanced with additional particles to determine the particle-particle influence. Second, the separation of silica glass particles from water in a pressurized housing at constant pressure is experimentally investigated. The measured filter cake, filter medium and interference resistances are in a good agreement with the results of the 3D simulations, demonstrating the applicability of the resolved CFD-DEM coupling for analyzing and optimizing cake filtration processes.

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Numerical study of a sphere descending along an inclined slope in a liquid

Cited by 8 publications

References 33 publications

Wake dynamics and flow-induced vibration of a freely rolling cylinder

Wake dynamics and flow-induced vibration of a freely rolling cylinder

Hydro‐micromechanical modeling of wave propagation in saturated granular crystals

A Coupled CFD-DEM Model for Resolved Simulation of Filter Cake Formation during Solid-Liquid Separation

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