Examining the cascade hypothesis for turbulent premixed combustion

The cascade hypothesis, which was introduced in application for premixed combustion by Yakhot (1988) and Sivashinsky (1988), is examined against the correlations of the turbulent burning velocity data by Bradley, Lau and Lawes (1992) (BLL data). A new, less restrictive formulation of the cascade hypothesis is suggested. The formulation is shown to be consistent with the BLL data. Various flame characteristics- fractal dimensions, inner cutoffs, main asymptotic regimes - are determined form the BLL data on the basis of the cascade hypothesis.