scholarly journals Numerical simulations of the behaviour of a drop in a square pipe flow using the two-phase lattice Boltzmann method

2011 ◽  
Vol 369 (1945) ◽  
pp. 2528-2536 ◽  
Author(s):  
Yuta Kataoka ◽  
Takaji Inamuro
Keyword(s):  
Lattice Boltzmann Method ◽  
Pipe Flow ◽  
Lattice Boltzmann ◽  
Weber Number ◽  
Viscosity Ratio ◽  
Reynolds Numbers ◽  
Immiscible Fluids ◽  
Two Phase ◽  
Pipe Section ◽  
Boltzmann Method

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.

The investigation of the viscous fingering phenomenon of immiscible fluids displacement by the Lattice Boltzmann method

2020 ◽  
Vol 98 (7) ◽  
pp. 650-659
Author(s):  
Peisheng Li ◽  
Chengyu Peng ◽  
Peng Du ◽  
Ying Zhang ◽  
Boheng Dong ◽  
...  
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Viscosity Ratio ◽  
Viscous Fingering ◽  
Immiscible Fluids ◽  
Lattice Boltzmann Model ◽  
Fluid Accumulation ◽  
Sweep Efficiency ◽  
Fingering Phenomena ◽  
Boltzmann Method

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.

scholarly journals Gas Bubbles Expansion and Physical Dependences in Aluminum Electrolysis Cell: From Micro- to Macroscales Using Lattice Boltzmann Method

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Mouhamadou Diop ◽  
Frédérick Gagnon ◽  
Li Min ◽  
Mario Fafard
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Density Ratio ◽  
Gas Bubbles ◽  
Immiscible Fluids ◽  
Density Difference ◽  
Electrolysis Cell ◽  
Two Phase ◽  
Large Density ◽  
Boltzmann Method

This paper illustrates the results obtained from two-dimensional numerical simulations of multiple gas bubbles growing under buoyancy and electromagnetic forces in a quiescent incompressible fluid. A lattice Boltzmann method for two-phase immiscible fluids with large density difference is proposed. The difficulty in the treatment of large density difference is resolved by using nine-velocity particles. The method can be applied to simulate fluid with the density ratio up to 1000. To show the efficiency of the method, we apply the method to the simulation of bubbles formation, growth, coalescence, and flows. The effects of the density ratio and the initial bubbles configuration on the flow field induced by growing bubbles and on the evolution of bubbles shape during their coalescence are investigated. The interdependencies between gas bubbles and gas rate dissolved in fluid are also simulated.

Numerical Simulation for Flow over Two Circular Cylinders in Micro Channel with Lattice Boltzmann Method

2014 ◽  
Vol 670-671 ◽  
pp. 747-750
Author(s):  
Zhi Jun Gong ◽  
Jiao Yang ◽  
Wen Fei Wu
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Recirculation Zone ◽  
Flow Characteristics ◽  
Reynolds Numbers ◽  
Circular Cylinders ◽  
Micro Channel ◽  
Zone Length ◽  
Spacing Ratio ◽  
Boltzmann Method

For indepth study on flow characteristics for fluid bypass obstacles in micro-channel, the Lattice Boltzmann Method (LBM) was used to simulate fluid flow over two circular cylinders in side-by-side arrangement of a micro-channel. The velocity distribution and recirculation zone length under different Reynolds numbers (Re = 0~100) and different spacing ratio (H/D= 0~2.0) were obtained. The results show that the pattern of flow and the size of recirculation zone in the micro-channel depend on the combined effect of Re and H/D.

NUMERICAL SIMULATION OF THE FLOWS OVER TWO TANDEM CYLINDERS BY LATTICE BOLTZMANN METHOD

2005 ◽  
Vol 19 (28n29) ◽  
pp. 1551-1554 ◽  
Author(s):  
XIAOKE KU ◽  
JIANZHONG LIN
Keyword(s):  
Numerical Simulation ◽  
Pressure Distribution ◽  
Lattice Boltzmann Method ◽  
Stagnation Point ◽  
Lattice Boltzmann ◽  
Reynolds Numbers ◽  
Effective Distance ◽  
Minimum Pressure ◽  
Tandem Cylinders ◽  
Boltzmann Method

Flows over two tandem cylinders are simulated numerically based on the lattice Boltzmann method. The pressure distribution on the cylinders for varying distance between the two cylinders at different Reynolds numbers is depicted. The results show that the minimum pressure on the front cylinder does not occur at the stagnation point because of the existence of the back cylinder. The distance between the point with minimum pressure and the stagnation point becomes large with increasing Re number. The minimum pressure on the back cylinder varies with the distance between the two cylinders. The effective distance of interaction between two cylinders is less than 4d with d being the diameter of the cylinder.

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