Numerical modelling of solid particle motion using a new penalty method

2005 ◽  
Vol 47 (10-11) ◽  
pp. 1245-1251 ◽  
Author(s):  
T. N. Randrianarivelo ◽  
G. Pianet ◽  
S. Vincent ◽  
J. P. Caltagirone
Keyword(s):  
Numerical Modelling ◽  
Solid Particle ◽  
Particle Motion ◽  
Penalty Method

Solid particle motion in a standpipe as observed by Positron Emission Particle Tracking

2009 ◽  
Vol 194 (1-2) ◽  
pp. 58-66 ◽  
Author(s):  
Chian W. Chan ◽  
Jonathan Seville ◽  
Xianfeng Fan ◽  
Jan Baeyens
Keyword(s):  
Solid Particle ◽  
Particle Tracking ◽  
Particle Motion ◽  
Positron Emission

Solid-particle motion in two-dimensional peristaltic flows

1976 ◽  
Vol 73 (1) ◽  
pp. 77-96 ◽  
Author(s):  
Tin-Kan Hung ◽  
Thomas D. Brown
Keyword(s):  
Reynolds Number ◽  
Solid Particle ◽  
Particle Motion ◽  
Particle Transport ◽  
Particle Displacement ◽  
Two Dimensional ◽  
Single Bolus ◽  
Highly Nonlinear ◽  
Neutrally Buoyant ◽  
Gap Width

Some insight into the mechanism of solid-particle transport by peristalsis is sought experimentally through a two-dimensional model study (§ 2). The peristaltic wave is characterized by a single bolus sweeping by the particle, resulting in oscillatory motion of the particle. Because of fluid-particle interaction and the significant curvature in the wall wave, the peristaltic flow is highly nonlinear and time dependent.For a neutrally buoyant particle propelled along the axis of the channel by a single bolus, the net particle displacement can be either positive or negative. The instantaneous force acting upon the particle and the resultant particle trajectory are sensitive to the Reynolds number of the flow (§ 3 and 4). The net forward movement of the particle increases slightly with the particle size but decreases rapidly as the gap width of the bolus increases. The combined dynamic effects of the gap width and Reynolds number on the particle displacement are studied (§ 5). Changes in both the amplitude and the form of the wave have significant effects on particle motion. A decrease in wave amplitude along with an increase in wave speed may lead to a net retrograde particle motion (§ 6). For a non-neutrally buoyant particle, the gravitational effects on particle transport are modelled according to the ratio of the Froude number to the Reynolds number. The interaction of the particle with the wall for this case is also explored (§ 7).When the centre of the particle is off the longitudinal axis, the particle will undergo rotation as well as translation. Lateral migration of the particle is found to occur in the curvilinear flow region of the bolus, leading to a reduction in the net longitudinal transport (§ 8). The interaction of the curvilinear flow field with the particle is further discussed through comparison of flow patterns around a particle with the corresponding cases without a particle (§ 9).

Investigation of the regularities of particle motion in a vortex air flow of radius variable in height

2020 ◽  
pp. 92-100
Author(s):  
S. P. Stepanenko ◽  
B. I. Kotov ◽  
R. A. Kalinichenko
Keyword(s):  
Flow Velocity ◽  
Solid Particle ◽  
Particle Motion ◽  
Equations Of Motion ◽  
Air Flow ◽  
Tangential Direction ◽  
Uniform Field ◽  
Fractionation Process ◽  
Conical Channel ◽  
Air Flow Velocity

Annotation Purpose. Improving the mathematical description of the motion of a solid particle in a vortex air flow for the case of changing the radius of twisting of the flow in the main direction. Methods. The specificity of the question under consideration determines the analytical method of research based on the compilation and analysis of the equations of motion of the particle, in the form of a sphere in the vortex air flow of a conical channel with uneven distribution of air flow velocity over height. Results. The motion of a solid particle in the air in the middle of a conical air-permeable surface is considered; air is sucked through the lateral surface of the cone with louver slits (holes) in the tangential direction, under the action of artificially created forces of the vortex air flow there is an effective intensification of grain fractionation. The obtained equation of particle motion under the action of vortex air flow allows to determine the dependence of material velocity in the grain material layer on a number of factors: geometric parameters of the separator, material feed angle, initial kinematic mode of the material and particle vitality coefficient. Conclusions. Based on the analysis of the force interaction of a particle of grain material with a vortex air flow, an improved mathematical model of particle motion in a non-uniform field of air flow velocity in a conical channel is obtained. Keywords: variable air velocity, trajectory, stability of forces, fractions, vortex air flow, fractionation process, grain mixture.

Modelling trajectories of solid particle motion in the cyclone

2017 ◽  
Vol 34 (6) ◽  
pp. 1829-1848 ◽  
Author(s):  
Pranas Baltrėnas ◽  
Teresė Leonavičienė
Keyword(s):  
Particulate Matter ◽  
Environmental Protection ◽  
Solid Particle ◽  
Particle Motion ◽  
Solid Particles ◽  
University Research ◽  
Content Type ◽  
Motion Trajectories ◽  
Technical University ◽  
Research Institute

Purpose This purpose of the paper is to examine the multi-channel cyclone created at the Vilnius Gediminas Technical University (VGTU) Research Institute of Environmental Protection. The paper aims to predict the possible trajectories of solid particle motion in the cyclone with reference to the mechanical forces only. Design/methodology/approach The numerical calculations were performed on the basis of experimental results. The system of differential equations describing particle motion in the cyclone is analysed and numerically solved using Runge–Kutta–Fehlberg method. Research consists of three examples that illustrate the impact of particle density and velocity on collection and analyses the particle motion trajectories in the first and second channels of the cyclone. Findings Numerical calculations were performed according to the data from Vilnius Gediminas Technical University Research Institute of Environmental Protection. The particulate matter of wood ash and granite were used. The collection of solid particles of different size was examined when the air inflow velocity varies from 10 to 20 m/s. The possible motion trajectories of the solid particles are defined and the parameters of collected particles have been discussed. Research limitations/implications The obtained results can be used for the analysis of air cleaning efficiency and particulate matter removal from air in a multi-channel cyclone. Practical implications The results lead us to improve the structure of the cyclone so as to effectively collect the solid particles of different size. Originality/value This paper presents the results obtained for the multi-channel cyclone created at the Vilnius Gediminas Technical University Research Institute of Environmental Protection.

scholarly journals LBM modeling of solid particle dynamics in a viscous medium

2021 ◽  
Vol 82 (4) ◽  
pp. 128-137
Author(s):  
B. T. Zhumagulov ◽  
◽  
D. B. Zhakebayev ◽  
A. S. Zhumali ◽  
B. A. Satenova ◽  
...  
Keyword(s):  
Lattice Boltzmann Method ◽  
Solid Particle ◽  
Lattice Boltzmann ◽  
Particle Motion ◽  
Viscous Medium ◽  
Particle Dynamics ◽  
Boltzmann Method ◽  
Bounce Back ◽  
Moving Liquid ◽  
Good Agreement

This article discusses the mathematical and computer modeling of single solid particle dynamics in a viscous medium. The results of the study were obtained using a 3D numerical algorithm implemented on the basis of the D3Q19 model of the lattice Boltzmann method (LBM). The moving «liquid-solid» interface is accounted for using an interpolated bounce back (IBB) scheme. The velocity of a solid particle motion and the trajectory of a particle at Re = 1,56 are obtained. The results are in good agreement with the experimental and numerical results of other authors.

Simulations of Particle-Wall-Turbulence Interactions, Particle Motion and Erosion in With a Commercial CFD Code

2006 ◽  
Author(s):  
Yongli Zhang ◽  
Brenton S. McLaury ◽  
Siamack A. Shirazi ◽  
Ronnie D. Russell
Keyword(s):  
Solid Particle ◽  
Particle Motion ◽  
Solid Wall ◽  
Turbulent Velocity ◽  
Particle Impact ◽  
Solid Particle Erosion ◽  
Wall Region ◽  
Particle Erosion ◽  
Before And After ◽  
Near Wall

Calculation of a representative particle impacting velocity is an important component in calculating solid particle erosion inside a pipe geometry. Experiences in calculating erosion for solid-gas systems indicate that gases normally do not affect particle motion near a solid wall. However, solid particles that are entrained in a liquid system tend to undergo a considerable momentum exchange before impacting the solid wall. Currently, most commercial CFD codes allow the user to calculate particle trajectories using a Lagrangian approach. Additionally, the CFD codes calculate particle impact velocities with the pipe walls. However, these commercial CFD codes normally use a wall function to simulate the turbulent velocity field in the near wall region. This wall-function velocity field near the wall can affect the small particle motion in the near wall region. Furthermore, the CFD codes assume particles have zero volume when particle impact information is being calculated. In this investigation, particle motions that are simulated using a commercially available CFD code are examined in the near wall region. Calculated solid particle erosion patterns are compared with experimental data to investigate the accuracy of the models that are being used to calculate particle impacting velocities. While not considered in particle tracking routines in most CFD codes, the turbulent velocity profile in the near-wall region is taken into account in this investigation and the effect on particle impact velocity is investigated. The simulation results show that the particle impact velocity is affected significantly when near wall velocity profile is implemented. In addition, effects of particle size are investigated in the near wall region of a turbulent flow in a 90 degree sharp bend. A CFD code is modified to account for particle size effects in the near wall region before and after the particle impact. It is found from the simulations that accounting for the rebound at the particle radius helps avoid non-physical impacts and reduces the number of impacts by more than one order-of-magnitude for small particles (25 μm) due to turbulent velocity fluctuations. For large particles (256 μm), however, non-physical impacts were not observed in the simulations. Solid particle erosion is predicted before and after introducing these modifications and the results are compared with experimental data. It is shown that the near wall modification and turbulent particle interactions significantly affect the simulation results. Modifications can significantly improve the current CFD-based solid particle erosion modeling.

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