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Cellular pattern formation in circular domains.

Antonio Palacios1, Gemunu H. Gunaratne, Michael Gorman

  • 1Department of Physics, The University of Houston, Houston, Texas 77204.

Chaos (Woodbury, N.Y.)
|June 5, 2003
PubMed
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Researchers analyzed cellular patterns in premixed flames using a phenomenological model and Karhunen-Loeve (KL) analysis. This approach explains flame pattern features and differentiates rotational behaviors in complex combustion dynamics.

Area of Science:

  • Combustion Science
  • Fluid Dynamics
  • Nonlinear Dynamics

Background:

  • Cellular patterns are observed in premixed flames on circular, porous plug burners.
  • Understanding these stationary and nonstationary patterns is crucial for flame dynamics.
  • Existing models may not fully capture the complexity of observed flame structures.

Purpose of the Study:

  • To present an analysis of stationary and nonstationary cellular patterns in premixed flames.
  • To introduce a phenomenological model that reproduces experimental flame patterns.
  • To apply modal decomposition techniques for analyzing complex flame dynamics.

Main Methods:

  • Development of a phenomenological model using Fourier-Bessel functions.
  • Application of mode coupling to analyze rotating cellular patterns.

Related Experiment Videos

  • Utilizing Karhunen-Loeve (KL) analysis for modal decomposition of experimental data.

    • Main Results:

    • The model successfully explains features like concentric rings and weak inter-ring coupling.
    • Mode coupling reveals properties of rotating cells, including modulated rotations and heteroclinic cycles.
    • KL analysis effectively differentiates between uniform and nonuniform rotations in nonstationary patterns.

    Conclusions:

    • The phenomenological model provides insights into flame pattern formation and dynamics.
    • Karhunen-Loeve (KL) analysis is a powerful tool for dissecting complex, nonstationary flame behaviors.
    • The methodology can be extended to unravel more intricate flame phenomena, such as 'hopping states'.