Analytical Solution for One-Dimensional Transport of Particles considering Dispersion in Deposition Kinetics

Chen, Xingxin; Zhang, Xinran; Wu, Zhonghan

doi:10.1155/2019/1941426

Cited by 3 publications

(4 citation statements)

References 20 publications

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“…The transport of suspended particles through a homogeneous porous medium with a uniform onedimensional flow is described by the convection-dispersion equation, including a term of first-order deposition kinetic [5,19,31]:…”

Section: Transport Parameters Identification Methodsmentioning

confidence: 99%

Laboratory Studies on the Influence of Ionic Strength on Particle Transport Behavior in a Saturated Porous Medium

Lyacine,

Nassim,

Djilali

2023

AEF

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An experimental study has been undertaken to investigate the effect of flow velocity and ionic strength on the transport of suspended particles (SP) and their deposition in a saturated porous medium. The SP injections were carried out using a laboratory column filled with sand and a pulse injection method. Ionic strengths varying between 0 and 600 mM (NaCl) have prospected. Two velocities were tested: 0.15 and 0.30 cm/s. Selected polydisperse particles diameters ranging from 0.27 to 5 μm and a median diameter (dp50) equal to 2.25 μm were used. An analytical solution of the convection–dispersion equation with first-order deposition kinetics was used to describe the experimental breakthrough curves and to identify the transport parameters. The results show that the increase of ionic strength promotes the retention of the SP in the porous medium. In addition, retention is more important when the flow velocity is low. The deposition kinetics coefficient increases with increasing ionic strength and flow velocity.

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Section: Transport Parameters Identification Methodsmentioning

confidence: 99%

Laboratory Studies on the Influence of Ionic Strength on Particle Transport Behavior in a Saturated Porous Medium

Lyacine,

Nassim,

Djilali

2023

AEF

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“…(2b) shows the formula. 11) The adapted λ = filtration coefficient; it relates to particle-deposition. We adapted it and the formula from the study [38].…”

Section: Parameterization Of Pothole Model Equationmentioning

confidence: 99%

“…It requires applying various specific data of the roadway's subsurface and surface materials, and then different established principles. Research has shown that using detailed data, and established principles draw the prediction that makes a road deformation model closer to reality [11,12].…”

Section: Introductionmentioning

confidence: 99%

Mechanistic Mathematical Modelling of Pothole Development from Loss of Roadway Subsurface-Materials

Ezekwesili¹,

Agunwamba²

2021

MMEP

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In this paper, we developed a mechanistic mathematical model. It implies the engineering problem of pothole development on roadways. The issue involves internal erosion, a decline of subsurface materials, voids creation, depression, materials damage, and potholes’ appearance on the road’s surface. Our study aims to predict why, how, and when pothole develops from the loss of roadway subsurface materials. We reviewed many sources as our first method. It involved using and adapting the guiding principles for migrating particles upwards. We then changed specific parameters, formulated our model equation, solved it using the separation of variables, and then verified it. Observations from our review show that high traffic load pressure and water must be present on the road for particle migration to occur. They generate excess pore-water pressure that enables the movement of particles upwards. Particle relocation causes voids and dislocation of materials. Results show that an increase in time, cracks, soil erosion coefficient, and a decrease in the roadway’s height led to a rise in the number of materials lost from the pavement. Our study is relevant because it will better inform road managers and modelers on potholes, and they can-do preventive measures to avert total road failure.

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“…Traditional continuum models for particle transport in a porous medium solve a one-dimensional convection–diffusion equation with two important modifications: (1) the diffusion coefficient is modified to account for the sum of molecular diffusion and particle dispersion, where the last term is proportional to the nominal velocity of particles within the bed, and (2) a particle sink term is included representing capture of particles by the porous medium (Benamar et al . 2007; Chen, Zhang & Wu 2019). The parameters used in continuum models (diffusion coefficient, capture rate coefficient, etc.)…”

Section: Introductionmentioning

confidence: 99%

Pore-scale modelling of particle transport in a porous bed

Storm,

Marshall

2024

J. Fluid Mech.

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A computational study was performed of the transport of both non-adhesive and adhesive particles in a porous bed with a body-centred cubic (BCC) structure. Pore-scale simulation of the flow within the porous bed was achieved through combining the immersed boundary method and the lattice Boltzmann method. Particle transport is computed using an adhesive discrete-element method based on a multi-time-scale soft-sphere model. The fluid flow results are validated by comparison with experimental data for dimensionless permeability of flow in a porous bed of spheres. For computations with non-adhesive particles, the particles are observed to drift to the centre of ‘channels’ in the BCC array, within which most of the fluid flow occurs. The mechanism of this inward drift was found to be related to the phenomenon of oscillatory clustering, which is an inertial drift mechanism observed for particles in a corrugated channel. A measure for particle drift into these channels was developed, and the time rate of change of this measure was found to compare closely with an approximate theoretical prediction based on oscillatory clustering theory. The drift measure was observed to be limited at long time by hold-up of outlier particles caught in long-duration collisions with the fixed bed particles in regions of low fluid velocity magnitude. Simulations with adhesive particles exhibited marked increase in collision duration, as well as inhibition of the tendency to drift toward the flow channels due to adhesive hold-up.

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Analytical Solution for One-Dimensional Transport of Particles considering Dispersion in Deposition Kinetics

Cited by 3 publications

References 20 publications

Laboratory Studies on the Influence of Ionic Strength on Particle Transport Behavior in a Saturated Porous Medium

Laboratory Studies on the Influence of Ionic Strength on Particle Transport Behavior in a Saturated Porous Medium

Mechanistic Mathematical Modelling of Pothole Development from Loss of Roadway Subsurface-Materials

Pore-scale modelling of particle transport in a porous bed

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