The methodology and numerical calculations for the non-stationary burning rate of a high-energy material according to the well-known law of pressure variation

This paper presents the methodology and numerical calculations of the nonstationary burning rate of a high-energy material (HEM) based on the well-known law of pressure variation. Numerical calculations are carried out using the method based on the numerical solution of a system of equations describing a physical and mathematical model of the burning of HEMs in a conjugate formulation. In this model, the physical and chemical processes occurring in the solid phase are determined by the equations of thermal conductivity and oxidizer decomposition in the condensed phase. The gas-phase processes are described using the approaches of the dynamics of multiphase reacting media. On the surface of the solid propellant, the conditions for the conservation of component mass and energy are specified. The analysis of the results reveals that the non-stationary burning rate of HEMs during pressure release differs from the stationary one, and the proposed calculation method is accurate.