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Related Experiment Videos

Period-adding bifurcations and chaos in a bubble column.

Viviane S M Piassi1, Alberto Tufaile, Jose Carlos Sartorelli

  • 1Instituto de Fisica, Universidade de Sao Paulo, C. P. 66318, 05315-970 Sao Paulo, Brazil.

Chaos (Woodbury, N.Y.)
|June 11, 2004
PubMed
Summary

Period-adding bifurcations were observed in bubble formation experiments, demonstrating a transition from single bubbling to complex periodic behaviors. Modifying flow rate dynamics, particularly through tube length, influenced the number of observed bifurcations, revealing insights into fluid dynamics.

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Area of Science:

  • Fluid dynamics
  • Nonlinear dynamics
  • Experimental physics

Background:

  • Bubble formation in viscous fluids is a common phenomenon with complex dynamics.
  • Understanding transitions in bubble emission patterns is crucial for various industrial and scientific applications.
  • Previous studies have explored bubbling regimes but lacked detailed analysis of period-adding bifurcations.

Purpose of the Study:

  • To investigate period-adding bifurcations in bubble formation.
  • To determine the influence of air flow rate variations on bubble emission patterns.
  • To characterize the nonlinear dynamics of bubble formation as a spatially extended system.

Main Methods:

  • Experimental setup involving bubble column with controlled air flow rate.

Related Experiment Videos

  • Systematic variation of tube length between air reservoir and nozzle to alter flow rate dynamics.
  • Reconstruction of attractors and analysis of piecewise nonlinear maps from experimental data.

    • Main Results:

    • Observed period-adding bifurcations in bubble formation, transitioning from single bubbling to k to k+1 periodic regimes.
    • Identified chaotic regions interspersed within the periodic sequences.
    • Demonstrated that increasing tube length led to an increase in observed period-adding bifurcations.
    • Associated distinct bubble growth types with flow rate fluctuations in different bubbling regimes.

    Conclusions:

    • The experiment confirmed that period-adding bifurcations in bubble formation are dependent on flow rate variations within the chamber.
    • The study provides evidence that bubble formation in this context is a spatially extended system.
    • The findings offer a deeper understanding of nonlinear phenomena in fluid dynamics and bubble dynamics.