摘要
局部狭窄圆管内的流体流动，在工程和生物医学中具有许多应用背景．文中应用非线性动力学的分析方法，分析了局部狭窄圆管内的流体流动．采用有限差分方法，将由偏微分方程组描述的空间连续系统约化为由常微分方程组描述的空间离散高维动力系统．在此基础上求得了动力系统的平衡解．通过求得平衡解的最大Ｌｙａｐｕｎｏｖ指数来判断平衡解的稳定性，并求得了动力系统的最大Ｌｙａｐｕｎｏｖ指数。
Fluid flow through tubes with local constriction has many applications in engineering and biomedical science. Fluid flow through a circular cylindrical tube with local constriction is analysed using nonlinear dynamic analyses. The finite difference method is applied to reduce the system of partial differential equations to ordinary differential equations. Obtained is the equilibrium solution for the dynamic system. The largest Lyapunov exponent of the equilibrium solution is found to determine the system′s stability, and the largest Lyapunov exponent of the dynamic system is also found to be used as a criterion for the system to become chaotic.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
1999年第2期50-54,共5页
Journal of Xi'an Jiaotong University
基金
国家自然科学基金
关键词
局部狭窄圆管
流体流动
非线性动力学
tubes with local constriction
fluid flow
nonlinear dynamics
stability
chaos
