| Abstract: | The problem of determining the amplitudes of unstable acoustic vibrations when they are stabilized in a confined heat releasing medium by transfer of energy from the unstable mode to the damped mode as a result of their nonlinear interaction has been considered by Artamonov and Vorob'ev 1]. Their treatment applied to a gas with volume heat release filling a channel of finite length under the assumption that the parameters of the gas in the steady state are constant over the volume. In the present paper an investigation is made in the nonlinear approximation of the stability of a weakly inhomogeneous heat releasing gas that fills a channel of finite length with respect to acoustic vibrations propagating along its axis in the direction of the gradients of the steady parameters. It is shown that the spatial inhomogeneity of the gas leads to breakdown of the resonance of the excited acoustic vibrations, which in turn leads to a higher level of the steady vibrations compared with the case of a spatially homogeneous medium. |
