Heterogeneous diffusive combustion of condensed propellant in weightlessness

A self-similar solution has been obtained for the nonstationary plane one-dimensional problem of diffusive combustion of the propellant surface in the heterogeneous regime in the case where the propellant is the condensed phase and the oxidizer and combustion products are the gaseous phase. The laws of conservation of mass and energy flows through the interface surface, on which the burning results in energy release, allow us to close the system of differential equations for the gaseous and condensed and to obtain the exact solution of the problem in a homobaric approximation. The solution obtained determines the time dependence of the rate of surface burn-out, the temperature profiles in the gaseous and condensed phases, and the profiles of concentration of the gaseous reactant, and allows us to study the main characteristics of the process versus the values of the external determining parameters.