Numerical simulations of immiscible displacement in the cavities via lattice Boltzmann method

Hong Liang (), Zhenhua Chai, Baochang Shi (), Zhaoli Guo and Qiuxiang Li
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Hong Liang: State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
Zhenhua Chai: School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
Baochang Shi: School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
Zhaoli Guo: State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
Qiuxiang Li: State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, P. R. China

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 07, 1-20

Abstract: In this paper, the immiscible displacements in the different cavities are studied by the pseudo-potential lattice Boltzmann (LB) model. We first validate the model with a two-dimensional (2D) layered flow, and find that the numerical results agree well with the corresponding analytical solutions. Then, we perform some numerical simulations to study the immiscible displacements in the cavities, and focus on the effects of the surface wettability, capillary number and density ratio on the displacement efficiency. The numerical results show that the displacement efficiency increases with the increase of the capillary number at first and then presents a decrease with the capillary number when it is large enough. The increase of the contact angleθ1or decrease of the density ratio increases the displacement efficiency but decreases the critical capillary number. Finally, it is also found that both the size and geometry of cavity have a significant influence on the displacement efficiency.

Keywords: Immiscible displacement; displacement efficiency; wettability; lattice Boltzmann method; 83.10.Lk; 68.10.Cr; 47.11.+j (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S0129183115500746

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