Models of filtration combustion of gases with allowance for flame turbulence

The basic system of equations describing the combustion process inside a porous body as well as in the wave regime of filtration combustion of gases is refined on the basis of the Damköhler theory for turbulent burning rate. Better agreement of the models and available experimental data on the mass burning rate in such systems is obtained. The correction for turbulence of the interstitial flow becomes significant for filtration rates higher than 0.5 m/sec. The data analyzed are presented in the form of Borghi's diagrams. It is found that a weakly turbulent regime of a “folded” flame is typical of filtration combustion in gases in porous media with a mean pour size of $\approx$ 2–3 mm.