Simulation of Thermal Explosion of Catalytic Granule in Fluctuating Temperature Field
Simulation of Thermal Explosion of Catalytic Granule in Fluctuating Temperature Field作者机构：Department of Applied Mathematics Faculty of Fundamental Sciences Moscow State Technical University by N.E. Bauman (BMSTU) Moscow Russian Federation
出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)
年 卷 期：2013年第1卷第5期
页 面：1-7页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Stochastic Ordinary Differential Equation Autocorrelation Function Heat Explosion Semenov’s Diagram Temperature Fluctuations
摘 要：Method for numerical simulation of the temperature of granule with internal heat release in a medium with random temperature fluctuations is proposed. The method utilized the solution of a system of ordinary stochastic differential equations describing temperature fluctuations of the surrounding and granule. Autocorrelation function of temperature fluctuations has a finite decay time. The suggested method is verified by the comparison with exact analytical results. Random temperature behavior of granule with internal heat release qualitatively differs from the results obtained in the deterministic approach. Mean first passage time of granules temperature intersecting critical temperature is estimated at different regime parameters.
维普期刊数据库