OSCILLATIONS IN A COMBUSTIBLE GAS BUBBLE

The dynamical behaviour of an isolated combustible gas bubble surround ed by unlimited inviscid liquid is analysed in the case of large activ ation energy and using spatially uniform assumptions. The pressure eff ect is crucial in this problem because of the limited gas volume. The mathematical model used is a system of three nonlinear ordinary differ ential equations including the energy equation, the concentration equa tion and the Rayleigh equation. The thermal behaviour is classified in to slow and explosive regimes, and the thermal explosion criterion is obtained analytically, along the lines of the classical Semenov theory . The system is shown to reveal temperature and volumetric oscillation s, the amplitude and frequency of which depend strongly on the intensi ty of the thermal process. In particular, the amplitude of slow and ex plosive regimes differs by at least an order of magnitude.