scholarly journals A lattice Boltzmann method for axisymmetric multicomponent flows with high viscosity ratio

2016 ◽  
Vol 327 ◽  
pp. 873-893 ◽  
Author(s):  
Haihu Liu ◽  
Lei Wu ◽  
Yan Ba ◽  
Guang Xi ◽  
Yonghao Zhang
2018 ◽  
Vol 32 (12n13) ◽  
pp. 1840056
Author(s):  
Jiang-Yan Shao ◽  
Chang Shu

Simulation of the interfacial wave growth in a plane channel is performed by a phase field lattice Boltzmann method (LBM) in this work. The numerical results are validated against linear theory analysis. The influence of viscosity ratio and liquid layer height on the wave initiation is studied Results show that the wave grows slower with increasing viscosity ratio. On the other hand, the wave growth rate has more complex relationships with the liquid layer height. It is also found that there is a critical liquid layer height that prompts the strongest wave growth. Besides the linear characteristics during the early stage, nonlinear interfacial changes such as forming of ligament and droplets are also captured in this work.


2020 ◽  
Vol 98 (7) ◽  
pp. 650-659
Author(s):  
Peisheng Li ◽  
Chengyu Peng ◽  
Peng Du ◽  
Ying Zhang ◽  
Boheng Dong ◽  
...  

In this paper, the viscous fingering phenomena of two immiscible fluids with a large viscosity ratio was simulated by the Lattice Boltzmann method. The Rothman–Keller Lattice Boltzmann model was applied to study the viscous fingering phenomena in a microchannel where the high viscosity fluids were displaced by low viscosity fluids. We have investigated the influences of parameters such as viscosity ratio (M), surface wettability, capillary number (Ca), and Reynolds number (Re) on finger structures, breakthrough time (Ts), and areal sweep efficiency (Se). In particular, the effects of surface tension and large viscosity ratio on the phenomenon of fluid accumulation were intensively studied. The simulation results showed that the fluid accumulation became more obvious gradually with the increase of M, which led to more serious displacement effects. Moreover, Se increased as the contact angle increased. Besides, as the viscous fingering phenomenon weakened, the phenomenon of fluid accumulation became more evident. Furthermore, the finger pattern had a tendency to increase as the value of Ca and Re increased, and the phenomenon of fluid accumulation decreased with the decrease of Ts and Se.


2018 ◽  
Vol 22 (2) ◽  
pp. 909-919 ◽  
Author(s):  
Kayvan Fallah ◽  
Moahammad Rahni ◽  
Alireza Mohammadzadeh ◽  
Mohammad Najafi

Drop formation in cross-junction micro-channels is numerically studied using the lattice Boltzmann method with pseudo-potential model. To verify the simulation, the results are compared to previous numerical and experimental data. Furthermore, the effects of capillary number, flow rate ratio, contact angle, and viscosity ratio on the flow patterns, drop length, and interval between drops are investigated and highlighted. The results show that the drop forming process has different regimes, namely, jetting, drop, and squeezing regimes. Also, it is shown that increasing in the flow rate ratio in the squeezing regime causes increment in drop length and decrement in drops interval distance. On the other hand, the drops length and the interval between the generated drops increase as contact angle increases. Also, the drop length and distance between drops is solely affected by viscosity ratio.


Author(s):  
Yuta Kataoka ◽  
Takaji Inamuro

The lattice Boltzmann method for multi-component immiscible fluids is applied to simulations of the behaviour of a drop in a square pipe flow for various Reynolds numbers of 10< Re <500, Weber numbers of 0< We <250 and viscosity ratios of η =1/5, 1, 2 and 5. It is found that, for low Weber numbers, the drop moves straight along a stable position on the diagonal line of the pipe section, and it moves along the centre axis of the pipe for larger Weber numbers. We obtain the boundary of the two different behaviours of the drop in terms of Reynolds number, Weber number and viscosity ratio.


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