旋转流动混沌行为的全局稳定性分析及数值仿真
发布时间：2018-09-14 11:35
【摘要】：同轴圆筒间旋转流动的Couette-Taylor流问题是近一个世纪以来人们普遍关注的热点问题,由于其流动形态的可观测性以及它在湍流研究中的基础性地位及其在流体机械、石油化工等领域的广泛应用,国际上将其列为非线性科学的范例之一.为了探讨这种流动从层流到湍流过渡的方式以及流动发展到湍流之后混沌吸引子的某些特征等问题,该文采用低模分析方法研究了Couette-Taylor流的部分动力学行为及仿真问题,探讨了同轴圆筒间Couette-Taylor流三模态类Lorenz型方程组的动力学行为及仿真问题,数值模拟了系统分岔与混沌的演变历程,讨论了系统的全局稳定性.
[Abstract]:The Couette-Taylor flow problem of coaxial cylinder rotating flow is a hot issue in recent century. Due to the observability of its flow pattern and its basic position in the study of turbulence and its fluid machinery. Petrochemical and other fields are widely used in the world as one of the examples of nonlinear science. In order to investigate the transition from laminar flow to turbulent flow and some characteristics of chaotic attractor after the flow develops to turbulent flow, this paper studies the partial dynamic behavior and simulation of Couette-Taylor flow by using low modulus analysis method. The dynamic behavior and simulation of three-mode Lorenz equations of Couette-Taylor flow between coaxial cylinders are discussed. The evolution of bifurcation and chaos is numerically simulated and the global stability of the system is discussed.
【作者单位】： 辽宁工业大学理学院;
【基金】：国家自然科学基金(11572146) 辽宁省教育厅科研基金(L2013248) 锦州市科技专项基金(13A1D32)~~
【分类号】：O175
，
本文编号：2242597
[Abstract]:The Couette-Taylor flow problem of coaxial cylinder rotating flow is a hot issue in recent century. Due to the observability of its flow pattern and its basic position in the study of turbulence and its fluid machinery. Petrochemical and other fields are widely used in the world as one of the examples of nonlinear science. In order to investigate the transition from laminar flow to turbulent flow and some characteristics of chaotic attractor after the flow develops to turbulent flow, this paper studies the partial dynamic behavior and simulation of Couette-Taylor flow by using low modulus analysis method. The dynamic behavior and simulation of three-mode Lorenz equations of Couette-Taylor flow between coaxial cylinders are discussed. The evolution of bifurcation and chaos is numerically simulated and the global stability of the system is discussed.
【作者单位】： 辽宁工业大学理学院;
【基金】：国家自然科学基金(11572146) 辽宁省教育厅科研基金(L2013248) 锦州市科技专项基金(13A1D32)~~
【分类号】：O175
，
本文编号：2242597
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