Slip-flow lattice-Boltzmann simulations in ducts and porous media: A full rehabilitation of spurious velocities

Aminpour, Mohammad A.; Galindo‐Torres, S. A.; Scheuermann, Alexander; Li, L.

doi:10.1103/physreve.98.043110

Cited by 15 publications

(16 citation statements)

References 83 publications

(81 reference statements)

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“…Then, by tuning magnitudes G w and G b , we increase or decrease the density profile approaching the wall surface to match the different wettability values (see supporting information Text S6). We use the superposition of two conditions of solution to exclude the nonphysical velocities and rehabilitate the simulations (Aminpour et al, ). Researchers have tested against the above proposed frame with density distribution, velocity distribution, and flow enhancement in a total of 22 published cases of water flow through nanotubes made of different materials and dimensions, as shown in Figure .…”

Section: Multiscale Water Flow Simulation Methodsmentioning

confidence: 99%

Upscaling Water Flow in Composite Nanoporous Shale Matrix Using Lattice Boltzmann Method

Zhang

Javadpour

Yin

et al. 2020

Water Resources Research

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Water flow in nanoporous structures in shale strongly depends on water-pore wall interactions; specifically, water-pore wall interactions may influence flow more than water-water interactions. Because of strong water-pore wall interactions, the models that govern flow in nanoporous structures deviate from conventional continuum flow models such as the Darcy equation. We develop a novel lattice Boltzmann model to study water flow in nanoporous structures rendered from shale samples. First, we reconstruct three-dimensional (3-D) stochastic digital models based on composite shale samples that include hydrophobic organic matter (OM) and hydrophilic clay minerals. In the reconstructed digital models, we use pore size/shape distributions, porosity, and mineralogy from experiments. Then we use lattice Boltzmann models to model water flow through nanoporous structures (OM and clay) of the reconstructed shale sample, and we upscale the results to a microporous structure of composite shale containing OM, clay, and interpores associated to other minerals. The results show contraction/expansion effects of pore-throat-pore systems in nanoporous OM weaken the hydrophobicity-induced slippage effect on total water flow. In nanoporous clay, the swelling effect predominates and diminishes water slippage effects on water flow. The work also highlights the importance of (1) the accuracy of reconstructed 3-D pore networks in terms of pore connectivity, shape, and tortuosity in individual systems of OM and clay and (2) the role of OM nanopores in connecting isolated micropores to total water flow through the composite shale system.

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Section: Multiscale Water Flow Simulation Methodsmentioning

confidence: 99%

Upscaling Water Flow in Composite Nanoporous Shale Matrix Using Lattice Boltzmann Method

Zhang

Javadpour

Yin

et al. 2020

Water Resources Research

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“…In this study using a continuum approach incorporated with the interface interaction models, we study the flow of Newtonian fluids between flat walls, in tubes and porous media when the wettability effects are considerable. The method is validated for flow simulations in effects of interfacial interactions in previous studies [2,[234][235][236][237][238] and also here ( Fig. 6.1).…”

Section: Introductionmentioning

confidence: 63%

“…Secondary laminar flow induced by the curvature of the pipes and enhanced by pulsating flow has been also frequently studied due to its applications, particularly in mixing and heat transfer processes [147][148][149][150]. In the presence of porous media, it is also shown that the pore-scale features may play a critical role in micro-scale flow behaviour, also governing the macroscopic transport regimes [1,188,297]. In nature, oscillations of aquifer flow have been found to greatly influence transport mechanisms and mixing enhancement [151], and the saline groundwater 92 CHAPTER 7.…”

Section: Introductionmentioning

confidence: 99%

“…Published in Ref. [2], the study provided a simple method facilitating access to further studies on the effects of hydrophobic and hydrophilic solid surfaces on the flow properties. The study then succeeded in achieving a universal law for permeability variation due to wettability effects.…”

mentioning

confidence: 99%

“…Simulations are conducted using SRT-D3Q15 scheme with standard bounce-back boundary conditions at walls. The resolution of simulations is (d + 2) × 1102 lattices.. The no-slip velocity profile is obtained from simulations with no interfacial forces (g s = 0) and bounce-back boundary conditions.…”

mentioning

confidence: 99%

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Pore-scale investigation of complex flow behaviour in porous media

Aminpour¹

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Fluid flow in porous media has been studied extensively across a wide range of disciplines. Numerous natural and artificial systems are controlled or affected by flow in various porous media: for example, seepage flow in soil, the multi-phase flow of oil-gas-water in oil reservoirs, contaminant transport within groundwater and solute movement through biological tissues. While the pore-scale flow behaviours are dominating transport mechanisms, the knowledge in this scale is not comprehensive particularly in complex flow regimes. This study, through novel numerical approaches alongside with experiments in same scales, provides contributions to knowledge to understand the behaviours of flow in dynamic porous media, interfacially active (wettable/non-wettable media), and oscillatory boundary conditions. Unexpected rate-dependent local flow anomalies in form of rotational and counter-currents in porous media within the Darcy regime identified using Particle Image Velocimetry experiments raised the main question of this study: Is a variable tortuosity (pore-flow structure) possible for Darcy flow? The question stimulates more attention when considering that the accepted permeability models (e.g Kozeny-Carman) attribute a constant permeability to a constant flow micro-structure (pore streamlines). To explore the feasibility of such behaviours, we portrayed a set of scenarios based on the properties of the mentioned PIV experiments which were performed using a) deformable and b) super-hydrophilic hydro-gel beads comprising the particulate porous media in a flow system suspected as c) fluctuating head boundary conditions. The research plan is then defined so that with a systematic study of the following three areas, the main research question can be resolved: a) the effects of non-fixed (dynamic) Financial support This research was funded by the Australian Research Council via the Discovery Projects ('DPI120102188: Hydraulic erosion of granular structures: experiments and computational simulations' and 'DP140100490').

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Slip velocity boundary conditions for the lattice Boltzmann modeling of microchannel flows

Silva

Ginzburg

2022

Numerical Methods in Fluids

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Slip flows in ducts are important in numerous engineering applications, most notably in microchannel flows. Compared to the standard no-slip Dirichlet condition, the case of slip formulates as a Robin-type condition for the fluid tangential velocity. Such an increase in mathematical complexity is accompanied by a more challenging numerical transcription. The present work concerns with this topic, addressing the modeling of the slip velocity boundary condition in the lattice Boltzmann method (LBM) applied to steady slow viscous flows inside ducts of nontrivial shapes. As novelty, we extend the newly revised local second-order boundary (LSOB) Dirichlet fluid flow method [Philos. Trans. R. Soc. A 378, 20190404 (2020)] to implement the slip velocity condition within the two-relaxation-time (TRT) framework. The LSOB follows an in-node philosophy where its operation principle seeks to explicitly reconstruct the unknown boundary populations in the form of a third-order accurate Chapman-Enskog expansion, where the wall slip condition is built-in as a normal Taylor-type condition. The key point of this approach is that the required first-and second-order momentum derivatives, rather than computed through nonlocal finite difference approximations, are locally determined through a simple local linear algebra procedure, whose formulation is particularly aided by the TRT symmetry argument. To express the obtained derivatives, two approaches are considered, called Lnode and Lwall, which operate with node and wall variables, respectively. These two formulations are developed to prescribe the physical slip condition over plane and curved walls, including the corners. Their consistency and accuracy characteristics are examined against alternative linkwise strategies to impose the wall slip velocity, such as the kinetic-based diffusive bounce-back scheme, the central linear interpolation slip scheme, and the multireflection slip scheme. The several slip schemes are tested over different 3D microchannel configurations, with walls not conforming with the LBM uniform mesh. Numerical tests confirm the advanced accuracy characteristics of the proposed LSOB slip boundary scheme, revealing the added challenge of the wall slip modeling, and that parabolic accuracy is a necessary requirement to reach second-order accuracy within this problem class.

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Slip-flow lattice-Boltzmann simulations in ducts and porous media: A full rehabilitation of spurious velocities

Cited by 15 publications

References 83 publications

Upscaling Water Flow in Composite Nanoporous Shale Matrix Using Lattice Boltzmann Method

Upscaling Water Flow in Composite Nanoporous Shale Matrix Using Lattice Boltzmann Method

Pore-scale investigation of complex flow behaviour in porous media

Slip velocity boundary conditions for the lattice Boltzmann modeling of microchannel flows

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