Numerical Study on Permeability of Reconstructed Porous Concrete Based on Lattice Boltzmann Method
Abstract
:1. Introduction
2. Theoretical Method
2.1. Quartet Structure Generation Set Method
2.2. Lattice Boltzmann Theory and Boundary Conditions
2.3. Permeability Calculation Method
2.4. Lattice Boltzmann Model Verification
3. Construction of a Mesoscopic Model of Porous Concrete
3.1. Mesoscopic Structural Characterization
3.2. Mesoscopic Model of Porous Concrete
4. Permeability of Porous Concrete Model
4.1. Seepage Simulation of Porous Concrete Model
4.2. Analysis of Seepage Simulation Results for Porous Concrete Model
4.3. Rationality Analysis and Discussion
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
List of Relevant Symbols
Symbol | Description | Unit |
pc | Distribution probability | Dimensionless |
pd | Growth probability | Dimensionless |
pimq | Probability density | Dimensionless |
n | Porosity | Dimensionless |
t | Time | Lattice unit |
ω | Position | - |
eα | Discrete velocity | Dimensionless |
δt | Discrete time | Dimensionless |
τ | The dimensionless relaxation time | Dimensionless |
The local equilibrium state distribution function in the discrete velocity space | - | |
cs | Lattice velocity of sound | Dimensionless |
ρ | Density | Lattice unit |
wα | The weight coefficients | Dimensionless |
u | The macroscopic velocity | Lattice unit |
K | Permeability | Lattice unit |
u | The average flow velocity | Lattice unit |
L | The length of the flow path | Lattice unit |
μ | The dynamic viscosity of the fluid | Lattice unit |
pin | Water pressures at the inlet | Lattice unit |
pout | Water pressures at the outlet | Lattice unit |
D | Diameter | Lattice unit |
δx | Lattice spacing | Dimensionless |
Re | Reynolds number | Dimensionless |
G(x) | Random variable reflecting the distribution of pores | - |
< > | The average of G(x) | - |
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L | D | δx | δt | Re | pin | pout |
---|---|---|---|---|---|---|
100 | 50 | 1.0 | 1.0 | 100 | 0.308 | 0.296 |
Type | Distribution Probability, pc | Anisotropic Growth Probability, pd | Probability Density, pimq | Porosity, n |
---|---|---|---|---|
Scheme 1 | 0.01 | 0.01 | i = 0~18, m = 1, q = 2 | 0.15, 0.20, 0.25 |
Scheme 2 | 0.05 | 0.01 | i = 0~18, m = 1, q = 2 | 0.15, 0.20, 0.25 |
Scheme 3 | 0.10 | 0.01 | i = 0~18, m = 1, q = 2 | 0.15, 0.20, 0.25 |
Researcher | Fitting Relationship | R2 | Porosity Range | Research Method |
---|---|---|---|---|
Shan et al. [6] | Linear relationship | 0.73 | Effective n = 0.20–0.26 | Experimental testing |
Zhong et al. [32] | Linear relationship | 0.87 | Effective n = 0.14–0.29 | Experimental testing |
Bhutta et al. [33] | Linear relationship | 0.75 | Total n = 0.15–0.30 | Experimental testing |
Yuan et al. [34] | Exponential relationship | 0.84 | Total n = 0.65–0.90 | Experimental testing |
Xu et al. [35] | Exponential relationship | 0.81 | Effective n = 0.15–0.35 | Experimental testing |
This research | Linear relationship | 0.92 | Total n = 0.10–0.30 | Numerical calculation |
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Share and Cite
Zhao, D.; Xu, J.; Wang, X.; Guo, Q.; Li, Y.; Han, Z.; Liu, Y.; Zhang, Z.; Zhang, J.; Sun, R. Numerical Study on Permeability of Reconstructed Porous Concrete Based on Lattice Boltzmann Method. Buildings 2024, 14, 1182. https://doi.org/10.3390/buildings14041182
Zhao D, Xu J, Wang X, Guo Q, Li Y, Han Z, Liu Y, Zhang Z, Zhang J, Sun R. Numerical Study on Permeability of Reconstructed Porous Concrete Based on Lattice Boltzmann Method. Buildings. 2024; 14(4):1182. https://doi.org/10.3390/buildings14041182
Chicago/Turabian StyleZhao, Danni, Jiangbo Xu, Xingang Wang, Qingjun Guo, Yangcheng Li, Zemin Han, Yifan Liu, Zixuan Zhang, Jiajun Zhang, and Runtao Sun. 2024. "Numerical Study on Permeability of Reconstructed Porous Concrete Based on Lattice Boltzmann Method" Buildings 14, no. 4: 1182. https://doi.org/10.3390/buildings14041182