On the fractal theory of the slow deflagration-to-detonation transition in gases

The basic equations of combustion hydrodynamics are formulated on the basis of notions such as the “normal flame velocity” and the “combustion surface”. In the general case of turbulent combustion, the combustion surface is represented as a fractal. It is shown that such a representation and the method of constructing the basic equations do not contradict the previous results obtained within the framework of the classical theory of combustion and the statistical theory of turbulence. The slow deflagration-to-detonation transition upon ignition at a closed end of a tube is studied. The results obtained correspond in order of magnitude to experimental data.