“…The amplitude of the instabilities, A , depends on the rate of growth, ω, but also on the time elapsed since the instability had a certain initial amplitude A 0 . Choosing a characteristic time as the time that the flame front takes to travel the integral length scale eddy, L I / S l , an initial amplitude equal to the thickness of the flame front, δ l , and an instability wavelength equal to the integral scale, L I , the amplitude of the instability would have the expression of L I (12) This increased thickness of the flame front, δ l e ω L I S l , can replace the laminar flame front thickness in Eq. ( 11) and be used to obtain an expression of S t / S l of the form of Eq.…”