摘要
从非平衡热力学和耗散结构论出发,导出了局部平衡的伴有热传导、黏滞性流动以及多组元反应的爆轰反应区内的能量耗散速率方程.在多种耗散机制存在反应区内的情况下,视化学反应为主要弛豫过程,并认为爆轰中的化学反应由自由能和耗散函数决定,同时结合变分法和最优控制论中的极大值原理求得化学反应以最快耗散速率达到平衡所满足的条件.
According to the non-equilibrium thermodynamics and dissipative structure theory, the energy dissipation rate equation is deduced for detonation reaction zone where is the local equilibrium with heat conduction, viscous flow, as well as multi-component reaction simultaneously. Due to the case of the reaction zone exists in a variety of dissipation mechanisms, the chemical reaction was taken as the main relaxation process, and chemical reaction in the detonation was determined by the free energy and dissipation function. Combined with the variation method and maximum principle in optimal control theory, the conditions of chemical reaction were obtained to make the fastest dissipation rate reach equilibrium.
出处
《北京理工大学学报》
EI
CAS
CSCD
北大核心
2014年第4期336-339,共4页
Transactions of Beijing Institute of Technology
关键词
能量耗散
爆轰
极大值原理
变分法
energy dissipation
detonation
maximum principle
variation method
