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Front propagation in laminar flows.

M Abel1, A Celani, D Vergni

  • 1Dipartimento di Fisica, Universitá di Roma "La Sapienza" Piazzale Aldo Moro 2, I-00185 Roma, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 3, 2001
PubMed
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Flowing media significantly enhance front propagation speed. The speed depends on flow type and velocity, with power-law relationships observed in cellular and open-streamline flows.

Area of Science:

  • * Fluid Dynamics
  • * Chemical Reaction Engineering
  • * Mathematical Modeling

Background:

  • * Front propagation in reactive media is crucial in various scientific fields.
  • * Understanding the influence of flow on reaction-diffusion systems is complex.
  • * Laminar velocity fields in 2D present unique challenges for modeling front dynamics.

Purpose of the Study:

  • * To investigate front propagation in laminar flowing media.
  • * To analyze the impact of different flow patterns (cellular, shear, percolating) on front speed.
  • * To explore reaction-diffusion dynamics with Fisher-Kolmogorov-Petrovskii-Piskunov and Arrhenius production terms.

Main Methods:

  • * Numerical simulations of advection-reaction-diffusion equations.
  • * Application of an algorithm based on discrete-time maps.

Related Experiment Videos

  • * Analysis of front speed dependence on flow velocity and topological properties.

    • Main Results:

    • * A generic enhancement of front propagation speed by the underlying flow was observed.
    • * For low molecular diffusivity, front speed V(f) follows a power law with respect to flow velocity U.
    • * Different flow topologies yield distinct V(f) dependencies: V(f) ~ U for open-streamline flows, and V(f) ~ U(1/4) or U(3/4) for cellular flows.

    Conclusions:

    • * Underlying flow significantly impacts front propagation speed in 2D laminar systems.
    • * The relationship between front speed and flow velocity is governed by flow topology and timescale ratios.
    • * Findings provide insights into reaction-diffusion processes in complex fluid environments.