title: Synchronization of two bubble trains in a viscous fluid: experiment and numerical simulation.
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.
authors.affiliation: Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970 São Paulo, Brazil.
authors.forename: Felipe Augusto Cardoso
authors.initials: FA
authors.lastname: Pereira
authors.forename: Eduardo
authors.initials: E
authors.lastname: Colli
authors.forename: José Carlos
authors.initials: JC
authors.lastname: Sartorelli
mesh_terms: D003198:Computer Simulation; D005740:Gases / Q000737:chemistry*; D008956:Models, Chemical; D017711:Nonlinear Dynamics; D012212:Rheology / Q000379:methods*; D012996:Solutions / Q000737:chemistry*; D014783:Viscosity
chemical_list: D005740:Gases; D012996:Solutions