复相系非平衡定态的稳定性  

Stability of Non-equilibrium State for Multi-phase System

作　　者：唐经文[1] 彭岚[1] 李友荣[1] 曾丹苓[1] 

机构地区：[1]重庆大学动力工程学院,重庆400030

出　　处：《重庆大学学报（自然科学版）》2005年第12期36-38,共3页Journal of Chongqing University

基　　金：国家自然科学基金资助项目(50476042)

摘　　要：利用李雅普诺夫稳定性理论第二方法对复相系非平衡定态的稳定性进行了分析,结果表明:对线性区非平衡定态而言,取总熵产为V函数,则恒有dV/dt<0,因此,系统是绝对稳定的;对非线性区非平衡定态而言,取熵产的二阶变分为V函数,可根据dV/dt的符号判断系统的稳定性.Based on the second method of Lyapunov stability theory, the stability of non-equilibrium state for multiphase system is analysed. The results show that the dV/dt is always less than zero ff the V-function, which is defined as the entropy generation of the system, is greater than zero for the non-equilibrium state in linear zone, and the system is absolutely stable. On the other hand, the stability of the system in non-linear zone is determined with the symbol of dV/dt.

关 键 词：李雅普诺夫稳定性理论 复相系 稳定性 

分 类 号：TK123[动力工程及工程热物理—工程热物理]