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Abstract and Applied Analysis
Volume 2015 (2015), Article ID 706034, 12 pages
Research Article

Lattice Boltzmann Simulation of Multiple Bubbles Motion under Gravity

1Institute of Fluid Mechanics, China Jiliang University, Hangzhou 310018, China
2Institute of Refrigeration and Cryogenics, Zhejiang University, Hangzhou 310027, China

Received 24 October 2014; Accepted 10 December 2014

Academic Editor: Shuyu Sun

Copyright © 2015 Deming Nie 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.


The motion of multiple bubbles under gravity in two dimensions is numerically studied through the lattice Boltzmann method for the Eotvos number ranging from 1 to 12. Two kinds of initial arrangement are taken into account: vertical and horizontal arrangement. In both cases the effects of Eotvos number on the bubble coalescence and rising velocity are investigated. For the vertical arrangement, it has been found that the coalescence pattern is similar. The first coalescence always takes place between the two uppermost bubbles. And the last coalescence always takes place between the coalesced bubble and the bottommost bubble. For four bubbles in a horizontal arrangement, the outermost bubbles travel into the wake of the middle bubbles in all cases, which allows the bubbles to coalesce. The coalescence pattern is more complex for the case of eight bubbles, which strongly depends on the Eotvos number.