Front roughening of a flame in a discrete source system

Abstract eng:
The flont dynamics of a reactive wave in a system dominated by the spatial discreteness of the energy sources is explored via simulations in two dimensions. The system consists of randomly positioned point-like heat sources that are triggered when the temperature of a source reaches a prescribed ignition temperature, which then release heat. The width of the flont (defined by deviation of the ignition temperature contour flom mean position) is measured as a function of the elapsed time of propagation. While the front dynamics are complex due to the stochastic nature of the medium, by performing ensemble averaging over multiple realizations of the system, the power-law grth of the front can be measured. The results of flont width exhibit a one-third power law scaling, consistent with the predictions of the Kardar-Parisi-Zhang model. This system may be an ideal experimental system to explore front roughening for flame propagation in discrete media.

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