Comportamento complexo na formação de bolhas de ar em líquidos / Complex behaviour in air-liquid bubble formation

AUTOR(ES)
DATA DE PUBLICAÇÃO

2007

RESUMO

We have investigated the air bubble formation in viscous fluid with some control parameters. We have characterized the sistem using the air flow and the length of the hose that connects the air flow control system and the injector nozzle as control parameters. The hose corresponds to a system dissipative element. We have found period adding routes with and without chaotic behavior, frequency locking, and evidences of homoclinic chaos. We have elaborated mathematic models that emule the experimental data. With cubic model we have explained atractors observerd in a period adding route. With a discontinous model we have elucidated some bubble formation dynamic properties as bistability. We have also developed intergrate-and-fire like model that have led us to results in accordance with the maps properties of Arnold family. We also developed a new experimental technique to study the sistem behavior by measuring the bubbling pressure wave inside the hose.

ASSUNTO(S)

dynamic systems sistemas dinâmicos math model chaos dinâmica de fluidos caos fluid dynamics modelagem matemática

ACESSO AO ARTIGO

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