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Combustion on heterogeneous media a critical phenomenon

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  • Téphany, H.
  • Nahmias, J.
  • Duarte, J.A.M.S.

Abstract

We report a series of experiments on combustion spreading on different heterogeneous media. The propagation of the flame front on the random lattice is studied under quiescent conditions and in the presence of wind. The criticality of the transition spreading/non-spreading of the combustion has been experimentally brought out without and with wind. Percolation concepts explain the values of the experimental thresholds under conditions where Percolation concepts explain the values of the experimental thresholds under conditions where no wind is present. In the case of wind-driven flame fronts, the results appear to be covered by directed percolation.

Suggested Citation

  • Téphany, H. & Nahmias, J. & Duarte, J.A.M.S., 1997. "Combustion on heterogeneous media a critical phenomenon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(1), pages 57-69.
  • Handle: RePEc:eee:phsmap:v:242:y:1997:i:1:p:57-69
    DOI: 10.1016/S0378-4371(97)00202-1
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    References listed on IDEAS

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    1. Keyes, T. & Ohtsuki, T., 1986. "Space and time correlations in steady state for birth-death models; repeated ring approximation and critical slowing down," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(3), pages 623-627.
    2. Duarte, J.A.M.S. & Carvalho, João Marques & Ruskin, H.J., 1992. "The direction of maximum spread in anisotropic forest fires and its critical properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 183(4), pages 411-421.
    3. Drossel, B. & Schwabl, F., 1992. "Self-organized criticality in a forest-fire model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 47-50.
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