“…However, this correlation was not investigated sufficiently despite many empirical length scale of v cor proposed in previous studies (e.g. laminar flame thickness δ L (Bragg, 1963), turbulence integral length scale (Strahle, 1971), turbulent flame-brush thickness (Wäsle et al, 2005;Hirsch et al, 2007)), and it is still unclear about the appropriate length scale for v cor . Recently, Swaminathan et al (2011,a) modelled this correlation through direct numerical simulation (DNS) (Rutland and Cant, 1994;Nada et al, 2004Nada et al, , 2005 and laser diagnostics (Balachandran et al, 2005) data of turbulent premixed flames, and estimated the correlation volume as δ 3 L /8 by assuming isotropic correlation, where δ L is the laminar flame thermal thickness.…”