Differential Model and Evaluation of the Formal Kinetic Law in the Analysis of Combustion in a Solid-Propellant Gas Generator
L. L. Kartovitskii1, V. M. Levin1, L. S. Yanovskii2,3
1Moscow Aviation Institute, Moscow, 125993 Russia
2Baranov Central Institute of Aviation Motors, Moscow, 111116 Russia
3Institute of Problems of Chemical Physics, Russian Academy of Sciences, Chernogolovka, 142432 Russia
Keywords: твердотопливный газогенератор, конденсированная система, дифференциальная модель, теория горения, обратная задача, функция скорости тепловыделения, ортогональные полиномы, solid propellant gas generator, condensed system, differential model, combustion theory, inverse problem, heat release rate function, orthogonal polynomials
Abstract
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.
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