Theoretical Foundations of the Physical-Mathematical Model of the Non-Stationary Combustion Process of Solid Fuel and Derivation of Methods for the Calculation of Non-Stationary Velocity

Abstract

This study investigates the physico-chemical processes in the gas phase, considering the methods for calculating of burning rate of solid propellant and physico-mathematical model of non-stationary combustion of solid fuel, we study the equation for heat propagation in the k–phase, the specification of the initial and bounday condition, the fundamental solution of the heat conduction equation in the k–phase is obtained. We consider the equation for calculating non-stationary combustion velocity, the stationary combustion velocity in the presence of catalysts in the fuel composition, the method for calculating constants. We investigate the analytical solution of the linearized integral equation for the burning rate, we determine the particular solutions of the linearized integral equation and we found the numerical and approximate solutions of the nonlinear integral equation for the burning velocity.