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  • Title: Synchronization of two bubble trains in a viscous fluid: experiment and numerical simulation.
    Author: Pereira FA, Colli E, Sartorelli JC.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2013 Feb; 87(2):022917. PubMed ID: 23496601.
    Abstract:
    We investigate the interactions of two trains of bubbles, ejected by nozzles immersed in a viscous fluid, due only to the solution's circulation. The air fluxes (Q(1),Q(2)) are controlled independently, and we constructed parameter spaces of the periodicity of the attractors. We have observed complex behavior and many modes of phase synchronization that depend on these airflows as well as on the height (H) of the solution above the tops of the nozzles. Such synchronizations are shown in details in the parameter space (Q(1),Q(2)) and also in the (Q(1),H) space. We also observed that the coupling strength between the two trains of bubbles increases when the solution height increases. The experimental results were reasonably explained by numerical simulations of a model combining a simple bubble growth model for each bubble train and a coupling term between them, which was assumed symmetrical and proportional to the growth velocities.
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