Ol. Gulder et Gj. Smallwood, INNER CUTOFF SCALE OF FLAME SURFACE WRINKLING IN TURBULENT PREMIXED FLAMES, Combustion and flame, 103(1-2), 1995, pp. 107-114
The inner cutoff represents the smallest scale for the interaction of
turbulent eddies with the premixed flame front. The nondimensional inn
er cutoff has been shown to scale with Karlovitz number, Ka(beta), whe
re beta is -1/2. Three experimental data sets, with available statisti
cal information, strongly agree with this scaling. However, the five d
ata sets, two without experimental error statistics, seem to favor bet
a = -1/3, in accordance with the direct numerical simulation results.
The inner cutoff expressions reported in literature, obtained through
experimental data, numerical data, or physical reasoning, have been ev
aluated by comparing with five experimental data sets reported recentl
y. It has been shown that the Gibson scale, which was proposed as the
inner cutoff and asserts an inverse square dependence on Karlovitz num
ber, does not show any agreement with the experimental data or direct
numerical simulation results.