Period-adding bifurcations and chaos in a bubble column

Autor:	José Carlos Sartorelli, Alberto Tufaile, Viviane S. M. Piassi
Rok vydání:	2004
Předmět:	Physics Applied Mathematics Bubble Nozzle General Physics and Astronomy Statistical and Nonlinear Physics Mechanics Viscous liquid Volumetric flow rate Physics::Fluid Dynamics Nonlinear system Classical mechanics Attractor Liquid bubble Mathematical Physics Bifurcation
Zdroj:	Chaos: An Interdisciplinary Journal of Nonlinear Science. 14:477-486
ISSN:	1089-7682 1054-1500
DOI:	10.1063/1.1721112
Popis:	We obtained period-adding bifurcations in a bubble formation experiment. Using the air flow rate as the control parameter in this experiment, the bubble emission from the nozzle in a viscous fluid undergoes from single bubbling to a sequence of periodic bifurcations of k to k+1 periods, occasionally interspersed with some chaotic regions. Our main assumption is that this period-adding bifurcation in bubble formation depends on flow rate variations in the chamber under the nozzle. This assumption was experimentally tested by placing a tube between the air reservoir and the chamber under the nozzle in the bubble column experiment. By increasing the tube length, more period-adding bifurcations were observed. We associated two main types of bubble growth to the flow rate fluctuations inside the chamber for different bubbling regimes. We also studied the properties of piecewise nonlinear maps obtained from the experimental reconstructed attractors, and we concluded that this experiment is a spatially extended system.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0bf352181bb18a46f3480cfa136948ba https://doi.org/10.1063/1.1721112 Zobrazit plný text záznamu