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A cellular automata model for expanding turbulent flames.

Vishnu R Unni1, Chung K Law2, Abhishek Saha1

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This study introduces a cellular automaton model to simulate turbulent flames, revealing how turbulence affects flame dynamics and burning rates. The model accurately captures flame fragmentation and quenching at high turbulence levels.

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Area of Science:

  • Combustion Science
  • Computational Physics
  • Fluid Dynamics

Background:

  • Cellular automata models are established tools for simulating pattern development and front propagation.
  • Turbulent flames comprise interacting flamelets, with turbulence influencing their dynamics.

Purpose of the Study:

  • To develop a low-order cellular automaton model for turbulent flame dynamics.
  • To investigate the impact of turbulence on flame propagation and burning rates.

Main Methods:

  • Utilized a cellular automaton based on flamelet population dynamics.
  • Simulated turbulence by introducing stochasticity into local flamelet interactions.
  • Analyzed multifractal characteristics and burning rates of the expanding flame.

Main Results:

  • The model successfully preserved multifractal characteristics of turbulent flames.
  • Observed that increased burning rate enhances turbulence at low levels.
  • Demonstrated flame fragmentation and decreased burning rate beyond a critical turbulence level.
  • Showcased flame quenching at extremely high turbulence levels.

Conclusions:

  • Cellular automata provide a viable low-order model for turbulent flame dynamics.
  • Turbulence significantly alters flame behavior, leading to fragmentation or quenching.
  • The model accurately reflects experimental observations of turbulent flame propagation.