Semi Empirical Model in the Problem of Non-Stationary Burning of Propellant
The problem about a choice of temperature dependence on the propellant surface on the pressure level in the combustion chamber is considered. The problem statement is based on application of Zeldovich - Novozhilov model with attraction of experimental results about non-stationary burning of propellant. The choice problem is stated as a problem of conditional optimisation in which the criterion function is defined by a difference of burning speeds, defined experimentally and numerically by solving the equation of heat conductivity. The problem solution is carried out by methods of Newton, the deformable polyhedron and the genetic algorithm. The correctness of the accepted statement of the problem is shown by solving the test problem. The comparative analysis of optimization methods efficiency for obtaining the components of the mathematical model of the non-stationary speed of burning is considered.