STATISTICAL-MODEL OF THE THERMAL IGNITION OF A DISTRIBUTED SYSTEM

被引:6
作者
FEDOTOV, SP
机构
[1] Department of Mathematical Physics, Ural State University, Ekaterinburg
关键词
D O I
10.1016/0010-2180(92)90127-B
中图分类号
O414.1 [热力学];
学科分类号
摘要
The present work is concerned with the instability of combustible mixtures against finite-amplitude nucleus-like fluctuations of temperature that lead to a stochastic thermal ignition. The phenomenon is associated with the presence of a potential barrier that must be crossed by nuclei to initiate the stochastic ignition, which tums out to be possible even under the deterministic explosion limit given by the well-known Frank-Kamenetskii model. A stochastic analysis of such phenomena has been given using a functional Fokker-Planck equation. The following discussion of the ignition is restricted to a one-dimensional case when the consumption of reactant is not taken into account. The results obtained here may be applied only to weak fluctuations.
引用
收藏
页码:65 / 70
页数:6
相关论文
共 16 条
[1]   THERMAL EXPLOSIONS, CRITICALITY AND THE DISAPPEARANCE OF CRITICALITY IN SYSTEMS WITH DISTRIBUTED TEMPERATURES .3. ASYMPTOTIC ANALYSIS OF THE DISAPPEARANCE OF CRITICALITY (TRANSITION) AT THE EXTREME OF SMALL BIOT-NUMBER [J].
BODDINGTON, T ;
FENG, CG ;
DU, ZM ;
BAI, CG ;
GRAY, P .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1988, 418 (1855) :301-312
[2]   CRITERIA FOR THERMAL EXPLOSIONS WITH AND WITHOUT REACTANT CONSUMPTION [J].
BODDINGTON, T ;
GRAY, P ;
WAKE, GC .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 357 (1691) :403-422
[3]  
BUYEVICH YA, 1987, J ENG PHYS, V53, P1302
[4]   ON THE STABILITY OF SUPERCONDUCTING MAGNET SYSTEMS SUBJECT TO WEAK RANDOM THERMAL DISTURBANCES [J].
CHECHETKIN, VR ;
LEVCHENKO, EB ;
SIGOV, AS .
JOURNAL OF PHYSICS D-APPLIED PHYSICS, 1985, 18 (03) :461-485
[5]   STOCHASTIC CRITERIA FOR IGNITION OF SINGLE PARTICLES [J].
FEDOTOV, SP ;
TRETYAKOV, MV .
COMBUSTION SCIENCE AND TECHNOLOGY, 1991, 78 (1-3) :1-6
[6]  
FEDOTOV SP, IN PRESS CHEM ENG SC
[7]  
FLUGGE S, 1971, PRACTICAL QUANTUM ME, V1
[8]  
FRANKKAMENETSKI.DA, 1967, DIFFUSION HEAT TRANS
[9]  
GANTON JD, 1983, LECTURE NOTES PHYSIC, V183
[10]  
HAKEN H, 1978, SYNERGTICS