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Numerical Study on Flame-Spread Characteristics of Two-Dimensional Droplet Cloud
( Takehiko Seo ),( Daiki Azakami ),( Yuki Tsuchida ),( Masato Mikami ) 한국액체미립화학회 2010 한국액체미립화학회 학술강연회 논문집 Vol.2010 No.-
The mechanism of spray combustion is very complicated. The group-combustion flame forms around the fuel spray following the flame spreading. In order to improve understanding of the flame-spread mechanism, the flame spread along evenly spaced droplet arrays has been investigated experimentally, theoretically and numerically. The present study investigates the flame spread characteristics of randomly distributed two-dimensional droplet cloud using a modified percolation model based on the findings of micro gravity experiments on flame spread along droplet arrays. A modified percolation model considering the local flame-spread limit is presented to characterize the occurrence of group combustion. If the droplet number density is small enough, the flame spread terminates on its way to the sides of the lattice, leading to incomplete combustion of the droplet cloud. If the droplet number density is large enough, the flame can reach all the sides of the lattice, leading to the occurrence of group combustion of most parts of the droplet cloud. As the droplet number density is increased, probability of the group combustion occurrence rapidly increases around the threshold density. The threshold value is alternatively characterized by the critical mean droplet spacing in the droplet cloud. And, flame spread shows nonmonotonic behavior at the critical mean droplet spacing.