Differential model and evaluation of the formal kinetic law in the analysis of combustion in a solid-propellant gas generator

This paper presents an approach to the generalization of the combustion regularities of solid propellants in gas generators of propulsion systems based on a one-dimensional differential model. Identification of the heat release rate function represented by mutually orthogonal Laguerre polynomials in the differential model is performed by solving the inverse problem of combustion theory and using measured gas parameters in the gas generator. This makes it possible to establish the relationship between the combustion features of solid propellant and the operating modes of the gas generator and formulate the boundary conditions for numerical studies of solid propellant gas generators.