Differential fluid mechanics – basis of the theory of flows with combustion

The basis of invariant models is a system of fundamental equations with an empirical formula for the Gibbs potential and density. This paper presents an analysis of fast direct atomic-molecular, mechanical with a flow or wavy with a group velocity, and slow diffusion transfer of energy. The classification of components, including ligaments, waves, and vortices is given based on the compatibility condition, which determines the rank and the order of the linearized version of equations. The requirements for numerical and laboratory modeling are formulated. The structure of the flow near the strip and the rotating disk is studied. Comparison of calculations with the data of experiments carried out at the stands of the Unique science facilities "GFK IPMech RAS" is given. Expanding developed approaches to flows with combustion is discussed.