Abstract
Ignition process of vegetation from a cylindrical flame radiation is examined using Koo and Pagni (1) model. The radiation flux is power-law decreasing with distance (2), while the ignition time increases exponentially. This last behavior yields a characteristic length of fuel ignition from a flame, inducing a percolation type phase transition.
Highlights
Ignition process of vegetation from a cylindrical flame radiation is examined using Koo and Pagni [1] model
In the case of human epidemics and forest fires, the corresponding small world networks exhibit long-range connections [7] with an exponentially decreasing connectivity distribution leading to a finite percolation threshold
Following Billaud et al [2] and Mudan [8], the radiation flux is asymptotically power-law decreasing with distance, and the characteristic length of flame radiation diverges
Summary
Ignition process of vegetation from a cylindrical flame radiation is examined using Koo and Pagni [1] model. The radiation flux is power-law decreasing with distance [2], while the ignition time increases exponentially. This last behavior yields a characteristic length of fuel ignition from a flame, inducing a percolation type phase transition. Following Billaud et al [2] and Mudan [8], the radiation flux is asymptotically power-law decreasing with distance, and the characteristic length of flame radiation diverges.
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