The cascade hypothesis, which was introduced in application for premixed co
mbustion by Yakhot (1988) and Sivashinsky (1988), is examined against the c
orrelations of the turbulent burning velocity data by Bradley, Lau and Lawe
s (1992) (BLL data). A new, less restrictive formulation of the cascade hyp
othesis is suggested. The formulation is shown to be consistent with the BL
L data. Various flame characteristics- fractal dimensions, inner cutoffs, m
ain asymptotic regimes - are determined form the BLL data on the basis of t
he cascade hypothesis.