Low – frequency acoustic instability of the working process in the combustion chamber of the solid propellant rocket engine

The following problems is investigated by statement of direct numerical experiment in offered paper. 1) The real oscillatory process is reproduced. 2) The mechanism of occurrence and refill of low-frequency acoustic instability in the combustion chamber of the solid propellant rocket.. The direct numerical modeling of low-frequency acoustic instability will be carried out by a Davydov’s method. This powerful numerical method was discovered by Yuri M. Davydov 40 years ago as the method of large particles The further modern complex improvement of this numerical technique was titled Davydov’s method. It is good itself recommending at the decision of many tasks of the mechanics of continuous media. The description of physical and mathematical model of flow in the rocket engine combustion chamber is given. The results of numerical modeling are resulted. The hydrodynamical deeply nonlinear nature of low-frequency fluctuations connected to structure and character of current in the combustion chamber of the solid propellant rocket engine proves to be tru

Influence of overload on low-frequency instability of working process in the combustion chamber of the solid propellant rocket engine

In the paper the real oscillatory process is reproduced by statement of direct numerical experiment and the mechanism of occurrence and refill of low-frequency acoustic instability in the combustion chamber of the solid propellant rocket engine with the account of flight overload is investigated for the first time. The direct numerical modeling of low-frequency acoustic instability is carried out by means of Davydov’s method (method of large particles), which is well-suited for the solutions of many problems of mechanics of the continuous media. The results of numerical modeling are presented here. The hydrodynamic highly nonlinear nature of low-frequency fluctuations connected to structure and character of current in the combustion chamber of the rocket engine on firm fuel are proved to be tru

Spectre negatif d'un operateur elliptique avec des conditions au bords de Robin

In this article we discuss some estimates of the number of the negative eigenvalues and their moments of energy for an elliptic operator L = L0 - V(x) defined in Hm(Rn+) with the Robin boundary conditions containing a potential W(x), in terms of some integrals of V and W