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Chaotic behavior in bubble formation dynamics

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  • Tufaile, A
  • Sartorelli, J.C

Abstract

We constructed an experimental apparatus to study the dynamics of the formation of air bubbles in a submerged nozzle in a water/glycerin solution inside a cylindrical tube. The delay time between successive bubbles was measured with a laser-photodiode system. It was observed bifurcations, chaotic behavior, and sudden changes in a periodic regime as a function of the decreasing air pressure in a reservoir. We also observed dynamical effects by applying a sound wave tuned to the fundamental frequency of the air column above the solution. As a function of the sound wave amplitude, we obtained a limit cycle, a flip bifurcation, chaotic behavior, and the synchronization of the bubbling with sound wave frequency. We related some of the different dynamical behaviors to coalescent effects and bubble sizes.

Suggested Citation

  • Tufaile, A & Sartorelli, J.C, 2000. "Chaotic behavior in bubble formation dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 275(3), pages 336-346.
    • Handle: RePEc:eee:phsmap:v:275:y:2000:i:3:p:336-346
    DOI: 10.1016/S0378-4371(99)00440-9
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    Cited by:

    1. Piassi, V.S.M. & Colli, E. & Tufaile, A. & Sartorelli, J.C., 2009. "Arnold family in acoustically forced air bubble formation," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1041-1049.

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