Effect of temperature fluctuations of fluid on thermal stability of particles with exothermic chemical reaction

Effect of temperature fluctuations in liquid phase on heat explosion of individual particles with internal heat release is investigated. Heat emission due to chemical reaction inside particles describes as Arrhenius low. Fluctuations of temperature of carrier phase are modeled as random statistically stationary Gaussian process uniformly distributed in space. Method of functional derivations is used for obtaining closed equation for probability density function of temperature fluctuations of particles. Closed system of moments of particles temperature fluctuations is derived. Reasons leading to loss of thermal stability of particles are studied by numerical and analytical methods. Comparison between various scenarios of heat explosion of particles with temperature fluctuations is carried out. On the base of reverse Kolmogorov equation for probability density function of transition new effect of stochastic drift of particle temperature to the critical value of heat explosion was discovered. Results of numerical integration of the closed equation for probability density function of temperature fluctuations of particles are also presented.