Simulation of the detonation regime excited by combustion process turbulence

Objectives. The work considers critical processes involving excess energy, which include combustion and explosion, destruction of materials, crystallization, sintering of materials, etc. The results of numerical modeling of the turbulence of the combustion process (laminar–turbulent transition) and the patterns of phenomena associated with the laminar–turbulent transition in critical processes are studied.

Methods. Thermodynamic analysis was used to outline the trajectories of a system’s evolution and identify areas of laminar combustion stability during combustion, as well as metastable and labile regions where laminar combustion is unstable. An energy analysis approach was used to solve research problems involving the study of the redistribution of excess energy and the formation of distinctive structural features and parameters of the object and processes.

Results. The results of a numerical experiment of the vibrational turbulence regime of the combustion process are presented as an interaction of the Rauschenbach resonance and laminar–turbulent transition. The resonance occurring during kinetic energy pumping, which implements the discharge of excess energy, is modeled on a variety of local equilibrium. In order to explain the new concepts that arise in this case, the resonance of the adiabatic hydrodynamic process is described. The possibility of avoiding resonance through the mechanism of dumping excess energy by turbulence of the laminar process is confirmed by the results of field experiments.

Conclusions. The possibility of avoiding resonance in vibrational combustion due to disruption of the local equilibrium from the manifold by turbulence of the laminar process (approximation of local equilibrium) during pumping kinetic energy is demonstrated. During the combustion process, areas of laminar combustion stability are identified, along with metastable and labile areas where laminar combustion is unstable. However, this does not mean that signs of turbulence will not be observed in the stability region in its developed state: in these regions the diffusion of perturbations will blur them, whereas in the instability regions the process of negative (Cahn) diffusion will result in their concentration. It can be assumed that the instability regions of a homogeneous system are sources of perturbations, while the stability regions are sinks.

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