On the theory of turbulent flame velocity
Abstract
The renormalization ideas of selfsimilar dynamics of a strongly turbulent flame front are applied to the case of a flame with realistically large thermal expansion of the burning matter. In that case a flame front is corrugated both by external turbulence and the intrinsic flame instability. The analytical formulas for the velocity of flame propagation are obtained. It is demonstrated that the flame instability is of principal importance when the integral turbulent length scale is much larger than the cut off wavelength of the instability. The developed theory is used to analyse recent experiments on turbulent flames propagating in tubes. It is demonstrated that most of the flame velocity increase measured experimentally is provided by the large scale effects like the flame instability, and not by the smallscale external turbulence.
 Publication:

arXiv eprints
 Pub Date:
 October 2012
 arXiv:
 arXiv:1210.5311
 Bibcode:
 2012arXiv1210.5311B
 Keywords:

 Physics  Fluid Dynamics;
 Mathematical Physics
 EPrint:
 17 pages, 4 figures