Numerical simulations of miscible displacement in an inclined channel by lattice Boltzmann method
Numerical simulations of miscible displacement in an inclined channel by lattice Boltzmann method
复制标题
DOI：
10.1063/5.0135734
复制
发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Qin Lou
中科院分区：
文献类型：
--
作者：
Gaojie Liu;Yongqiang Wang;Chunhua Zhang;Qin Lou
The interfacial instability between miscible fluids in a channel is determined by many factors, such as viscosity contrast and the inclination angle. Considering the effect of the gravity field, we investigate the displacement phenomenon between two miscible fluids with different viscosities in an inclined channel. The results show that when the concentration Rayleigh number RaC {less than or equal to} 105, the inclination angle θ ranges from 0{degree sign} to 90º, and the natural logarithm of the viscosity ratio R>0, there are three fluid-fluid interfacial instability regions, namely viscous fingering, "Kelvin-Helmholtz" (K-H) instability and "Rayleigh-Taylor" (R-T) instability. A scaling analysis is developed to describe the time evolution of the displacement as described by the displacement efficiency at a fixed viscous ratio. Our analysis indicates that in the viscous fingering region, the time evolution of the displacement efficiency gradually increases with t scaling due to fingering formations; in the the K-H and R-T region, the displacement efficiency rapidly increases with t1+RaC/10^6. When considering the effect of the viscosity ratio in the K-H instability region, the displacement efficiency scales as η∼ t1+RaC/10^6 R0.1. In addition, when the inclination angle is negative or R < 0, the instability phenomenon is not obvious, and the displacement efficiency decreases as the inclination angle or R decreases.
