Table of Contents
ISRN Materials Science
Volume 2014 (2014), Article ID 454691, 11 pages
Research Article

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

NSERC/Alcoa Industrial Research Chair MACE3 and Aluminium Research Centre (REGAL), Laval University, Quebec, QC, Canada G1V 0A6

Received 29 October 2013; Accepted 5 January 2014; Published 23 February 2014

Academic Editors: C. Carbonaro and A. O. Neto

Copyright © 2014 Mouhamadou Diop et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.