Entropic Skins Geometry Applied to Dynamics of Turbulent Reactive Fronts

Abstract

The determination of the velocity UT of a turbulent propagating interface resulting from the interaction between a turbulent intensity U’ and a reactive front with a laminar velocity UL is still a fundamental and open problem. In this paper, we propose a new approach to deal with this phenomenon by introducing a geometrical structure called entropic skins geometry based on scale entropy and its dynamics in scale-space. In the specific case (called parabolic scaling) of equipartition of « scale-evolutivity » through scale space, we derive a law for turbulent velocity. This law has a second-order logarithmic form which is verified by experimental data.

Keywords

• turbulent reactive fronts, turbulent combustion, scale-dependent fractals, entropic skins geometry, parabolic scaling, Yakhot’s law, scale-entropy diffusion equation, scale diffusivity