Abstract
We consider a mathematical model of the laminar process of vibration combustion proposed recently. It allows us to simulate detonation and deflagration modes, the occurrence of which occurs depending on the structure of the standard chemical potential. For simplicity of presentation and analysis, we consider a one-dimensional mathematical model formulated for the reduced dimensionless variables for the case of a two-component mixture. The obtained numerical results are presented and discussed.
Highlights
We consider the mathematical model of the laminar process of vibration combustion proposed recently in the paper [1]
We consider the closed mathematical model of the laminar vibration combustion process of a two-component mixture formulated in the reduced dimensionless variables [1]
The numerical solutions were performed with the standard chemical potential μ0(T) of various structure
Summary
We consider the mathematical model of the laminar process of vibration combustion proposed recently in the paper [1]. There is a great interest in studying these processes [1-13]. The mathematical model based on thermodynamic analysis of the combustion process. The mathematical model is a boundary value problem for a closed nonlinear system of second-order differential equations. It allows us to simulate detonation and deflagration modes. For simplicity of presentation and analysis, we consider a onedimensional mathematical model formulated for the reduced dimensionless variables for the case of a two-component mixture. The obtained numerical results are presented and discussed, which allow us to conclude that one of the two modes occurs
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