【摘要】 根据流体动力学、非线性动力学及Ottino理论,建立了高黏度流体在SK型静态混合器内的流体流动改进模型,分析二维Navier-Stokes方程基于双极坐标系下流函数形式的边值问题并建立了相应的流体微分运动方程。用Poincare映射方法对静态混合器内的蠕动流的动力学行为进行了数值仿真研究。给出了系统响应随管壁转动角频率变化的分岔图、最大Lyapunov指数曲线图、典型的Poincare截面图和相图。结论表明:高黏度流体在SK型静态混合器内轴截面的径向流动存在混沌特性。更多还原

【Abstract】 An advanced model was established for the motion of high viscosity fluids in a SK static mixer based on hydrokinetics,nonlinear dynamics and Ottino theory.The stream function formulation of the two-dimensional Navier-Stokes equations was developed with boundary conditions by using the bipolar coordinates,and the corresponding differential flow equations were derived.The analysis and simulation of creeping flow characteristics were conducted with Poincare mapping method.The bifurcation diagrams were given for the response changes with the frequency ratio,and the largest Lyapunov exponent maps,Poincare maps and phase maps at some frequencies were presented.The results indicate that the radial flow characteristics of high viscosity fluids have obvious chaos motion features in its axial cross-sections.更多还原