Boundary condition for lattice Boltzmann modeling of microscale gas flows with curved walls in the slip regime

Tao, Shi; Guo, Zhaoli

doi:10.1103/physreve.91.043305

Cited by 58 publications

(56 citation statements)

References 36 publications

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“…Most recently, a curved slip BC based on the DBB method has been proposed , which performs well in the simulations of microflow with complex boundaries. Therefore, it is adopted in the present study.…”

Section: Methodsmentioning

confidence: 99%

“…Therefore, it is adopted in the present study. In this curved DBB scheme , the unknown distribution function that comes from the solid wall at a boundary node is specified as:

true f_{i} = {rf}_{\bar{i}}^{+} + (1 - r) f_{i}^{normaleq}

…”

Section: Methodsmentioning

confidence: 99%

“…To retain the wall shape exactly, it is found that the portion of the bounce‐back part is related to the position of the boundary point, resulting in that the values of r and relaxation time τ q should be chosen as :

true r = \frac{C_{1} (0.5 - τ_{s}) + (τ_{s} + Δ - 1) \sqrt{6 false/ π}}{C_{1} (τ_{s} - 0.5) + (τ_{s} - Δ) \sqrt{6 false/ π}}

true \begin{matrix} right1 & left τ_{normalq} = \frac{C_{2} π}{4} (τ_{s} - 0.5) \\ right1 & left + \frac{(6 Δ - 1) r τ_{normals} + (5 - 6 Δ) τ_{normals} + (0.5 - 3 Δ^{2}) r - 3 Δ^{2} + 6 Δ - 2.5}{4 (τ_{s} - 0.5) (r + 1)} \end{matrix}

…”

Section: Methodsmentioning

confidence: 99%

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Gas‐Solid Drag Coefficient for Ordered Arrays of Monodisperse Microspheres in Slip Flow Regime

Tao

Guo

2017

Chem Eng & Technol

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Numerous analytical and numerical correlations for the drag force of particles in packed arrays are not applicable to microspheres because of the invalidity of the no‐slip assumption at a solid wall. The slip flow through assemblages of spheres is investigated by the lattice Boltzmann method (LBM). Three periodic arrays of static and monodisperse particles, i.e., a simple cubic, a body‐centered cubic, and a face‐centered cubic array, each with a relatively wide range of solid volume fraction, are considered. The LBM is validated for the slip flow over a single unbounded sphere and the continuum flow through spheres in a simple cubic array. The LBM results agree well with the experimental and numerical data in the literature. Simulations of slip flow through the three ordered arrays of spheres are performed. The effects of solid volume fraction and slip are both quantified within the developed drag laws.

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Section: Methodsmentioning

confidence: 99%

“…Therefore, it is adopted in the present study. In this curved DBB scheme , the unknown distribution function that comes from the solid wall at a boundary node is specified as:

true f_{i} = {rf}_{\bar{i}}^{+} + (1 - r) f_{i}^{normaleq}

…”

Section: Methodsmentioning

confidence: 99%

true r = \frac{C_{1} (0.5 - τ_{s}) + (τ_{s} + Δ - 1) \sqrt{6 false/ π}}{C_{1} (τ_{s} - 0.5) + (τ_{s} - Δ) \sqrt{6 false/ π}}

true \begin{matrix} right1 & left τ_{normalq} = \frac{C_{2} π}{4} (τ_{s} - 0.5) \\ right1 & left + \frac{(6 Δ - 1) r τ_{normals} + (5 - 6 Δ) τ_{normals} + (0.5 - 3 Δ^{2}) r - 3 Δ^{2} + 6 Δ - 2.5}{4 (τ_{s} - 0.5) (r + 1)} \end{matrix}

…”

Section: Methodsmentioning

confidence: 99%

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Gas‐Solid Drag Coefficient for Ordered Arrays of Monodisperse Microspheres in Slip Flow Regime

Tao

Guo

2017

Chem Eng & Technol

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“…So the BSR scheme is not enough for the simulation of liquid flow. The DBB scheme has more potential in the simulation of fluid flows with complex geometries for the 115 nature of its local calculations [37,38]. However, few simulations employed the DSR and DBB schemes for liquid flow.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Boundary conditions with adjustable slip length for the lattice Boltzmann simulation of liquid flow

Yang

Hou

et al. 2018

Computers & Fluids

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Highlights • Four slip boundary conditions are presented for liquid flow. • The proposed schemes surmount the barrier of limited slip length. • The proposed schemes are specified by the slip length. • Two slip boundary conditions are suitable for curved walls.

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“…3. This boundary condition is firstly applied by Lim et al [91] to investigate pressure driven and shear driven micro-channel flows, however, it was found that the mesh size has a significant effect on the numerical results in their work [91][92] and pure specular reflection may overestimates the slip velocity [93]. Figure 3: Illustration of the reflection process (in the left image, the distributions before the collision are highlighted.…”

Section: Specular Reflection Boundary Condition(sr)mentioning

confidence: 99%

The lattice Boltzmann method for isothermal micro-gaseous flow and its application in shale gas flow: A review

Wang

Chen

Kang

et al. 2016

International Journal of Heat and Mass Transfer

132

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The lattice Boltzmann method (LBM) has experienced tremendous advances and been well accepted as a popular method of simulation of various fluid flow mechanisms on pore scale in tight formations. With the introduction of an effective relaxation time and slip boundary conditions, the LBM has been successfully extended to solve micro-gaseous related transport and phenomena. As gas flow in shale matrix is mostly in the slip flow and transition flow regimes, given the difficulties of experimental techniques to determine extremely low permeability, it appears that the computational methods especially the LBM can be an attractive choice for simulation of these micro-gaseous flows. In this paper an extensive overview on a number of relaxation time and boundary conditions used in LBM-like models for micro-gaseous flow are carried out and their advantages and disadvantages are discussed. Furthermore, potential application of the LBM in flow simulation in shale gas reservoirs on pore scale and representative elementary volume(REV) scale is evaluated and summarised. Our review indicates that the LBM is capable of capturing gas flow in continuum to slip flow regimes which cover significant proportion of the pores in shale gas reservoirs and identifies opportunities for future research.

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Boundary condition for lattice Boltzmann modeling of microscale gas flows with curved walls in the slip regime

Cited by 58 publications

References 36 publications

Gas‐Solid Drag Coefficient for Ordered Arrays of Monodisperse Microspheres in Slip Flow Regime

Gas‐Solid Drag Coefficient for Ordered Arrays of Monodisperse Microspheres in Slip Flow Regime

Boundary conditions with adjustable slip length for the lattice Boltzmann simulation of liquid flow

The lattice Boltzmann method for isothermal micro-gaseous flow and its application in shale gas flow: A review

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