Mathematical model for calculating pressure in a pulsating combustion chamber

Abstract

Due to insufficient knowledge of the processes occurring in the chambers of pulsating combustion, as well as lack of mathematical dependencies that make it possible to fully describe the parameters of such chambers, the authors of this article present a model for calculating pressure fluctuations as a function of time. The resulting dependence is based on the fact that the combustion of fuel takes place according to an isochoric cycle, whereas the outflow of gas through a resonant tube is an isothermal process. The conditions for applying the mathematical model and its features are described. With the help of the above dependence, it is possible to trace the dynamics of pressure changes during the operation of a pulsating combustion chamber with different geometric parameters. A program is presented that implements the obtained dependence for calculating and comparing the obtained theoretical data with the studies of other authors.