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.

Rayleigh-Taylor Instability Studied With Multi-Relaxation Lattice Boltzmann Method

2013 ◽  
Author(s):  
Saeed J. Almalowi ◽  
Dennis E. Oztekin ◽  
Alparslan Oztekin
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Early Stage ◽  
Density Ratio ◽  
Side Wall ◽  
Immiscible Fluids ◽  
Distribution Functions ◽  
Lattice Arrangement ◽  
Boltzmann Method ◽  
Late Stages

Multi relaxation lattice Boltzmann method is implemented to study Rayleigh-Taylor instabilities. Two immiscible fluids (oil and water) are arrayed into three layers. D2Q9 lattice arrangement for two dimensional computational domains is employed. Density distribution functions for each fluid and distribution functions for the coloring step are determined. The evolution of the interface is identified with the coloring step. Buoyancy and other interaction forces, created by buoyancy, between phases are modeled. Two cases are studied one with periodic boundary condition instead of a side wall, and one bounded on all sides. The study is done with an aspect ratio of two and a density ratio of 1.2. The early and late stages of the instability are characterized. The early stage of both cases shows the initial periodic disturbance being amplified rapidly on the lower interface. The late stages show mushroom-like structures, with significant distortions occurring on the bounded case.

A lattice Boltzmann method for incompressible two-phase flows with large density differences

2004 ◽  
Vol 198 (2) ◽  
pp. 628-644 ◽  
Author(s):  
T. Inamuro ◽  
T. Ogata ◽  
S. Tajima ◽  
N. Konishi
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Two Phase Flows ◽  
Two Phase ◽  
Large Density ◽  
Boltzmann Method

An improved lattice Boltzmann method for incompressible two-phase flows with large density differences

2016 ◽  
Vol 137 ◽  
pp. 55-69 ◽  
Author(s):  
Takaji Inamuro ◽  
Takaaki Yokoyama ◽  
Kentaro Tanaka ◽  
Motoki Taniguchi
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Two Phase Flows ◽  
Two Phase ◽  
Large Density ◽  
Boltzmann Method
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