Abstract
Abstract The present paper gives a mathematical model for collapse and ignition of reactive gas-filled bubbles. Oxyhydrogen bubbles, which can be formed in high-temperalure reactor water, can present an explosion hazard. In addition to treating the classical features of bubble dynamics, energy balances for the liquid and gas phase, and the heat transfer between the gas and surrounding liquid are included in the model. The gas-phase thermodynamic properties and chemical reaction rates are assembled by incorporating a real-gas version of the CHEMKJN chemical kinetics package in which the Nobel-Abel equation of state is used. The liquid energy equation is solved by the integral method to yield an ordinary differential equation for interface temperature. Some typical numerical results and shock ignition thresholds, or critical shock pressures necessary to ignite the gas-phase mixture, under various conditions for argon-diluted hydrogen/oxygen bubbles in water and glycerin are presented. Comparison with experi...
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