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Symbolic sequence statistical analysis for free liquid jets

Godelle1, Letellier

  • 1CORIA UMR No. 6614, Universite et INSA de Rouen, Place Emile Blondel, F-76821 Monte Saint-Aignan Cedex, France.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|January 4, 2001
PubMed
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This study analyzes free liquid jets as nonlinear dynamical systems. Symbolic sequence statistics effectively distinguish different atomization regimes by examining jet diameter evolution.

Area of Science:

  • Fluid Dynamics
  • Nonlinear Dynamics
  • Chaos Theory

Background:

  • Free liquid jets exhibit complex behaviors relevant to nonlinear dynamics.
  • Understanding jet atomization is crucial for various industrial applications.

Purpose of the Study:

  • To investigate the nonlinear dynamical characteristics of free liquid jets.
  • To develop methods for distinguishing different jet atomization regimes.

Main Methods:

  • Reconstruction of phase portraits from time-series data of jet diameter.
  • Analysis using Poincare sections and first-return maps.
  • Application of symbolic sequence statistics for regime characterization.

Main Results:

  • Jet diameter evolution was analyzed as a nonlinear dynamical system.

Related Experiment Videos

  • Symbolic sequence statistics successfully differentiated various atomization regimes.
  • Validation of statistical methods using theoretical maps.
  • Conclusions:

    • Free liquid jets can be effectively modeled as nonlinear dynamical systems.
    • Symbolic sequence statistics provide a robust tool for characterizing jet atomization.
    • The methodology offers insights into fluid dynamics and atomization processes.