Abstract
We present a two-dimensional numerical study of the dynamic interaction of bubbles. The simulation is made by solving the conservation equations in a regular Cartesian coordinate system and using the front tracking technique to follow the position of the bubbles. The qualitative properties of the flow are described in terms of the Reynolds (Re) and Bond (Bo) numbers. The values explored for these parameters are Re = 399 and Bo = 0.54 which represent realistic experimental conditions. Initially, we give a brief description of the trajectory of a bubble and the flow of the liquid produced by the displacement of a single bubble. It is found that the bubble motion generates of a chain of vortices similar to a von Kármán vortex street. The details of the motion of a second bubble that interacts with the first through the surrounding liquid, critically depend on the relative initial positions of the two bubbles. In general, it can be said that in the early stages of the motion, the two bubbles follow roughly the same path, but at a certain point where the interaction is particularly strong, the paths of the two bubbles diverge.
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Acknowledgments
S.P. acknowledges support from CONACYT-Mexico through a MSc grant. We wish to thank Mr. José Núñez for discussions on the model and advice on the development of the code.
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© 2012 Springer-Verlag Berlin Heidelberg
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Piedra, S., Ramos, E. (2012). Dynamical Interaction of Bubbles in Two Dimensions. In: Klapp, J., Cros, A., Velasco Fuentes, O., Stern, C., Rodriguez Meza, M. (eds) Experimental and Theoretical Advances in Fluid Dynamics. Environmental Science and Engineering(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17958-7_19
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DOI: https://doi.org/10.1007/978-3-642-17958-7_19
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