Transition of separated shear layer from order to chaos

Transition of separated shear layer from order to chaos
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DOI:
10.1063/1.869374
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发表时间:
1997-09
期刊:
影响因子:
4.6
通讯作者:
Y. F. Dong;Zhonglei Wei;C. Xu
Y. F. Dong;Zhonglei Wei;C. Xu
中科院分区:
工程技术2区
文献类型:
--
作者:
Y. F. Dong;Zhonglei Wei;C. Xu

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在雷诺数(以直径为基准)为2.4× 10 ~ 3 ~ 2.0× 10 ~ 4的范围内,对分离剪切层的转捩进行了实验研究。将非线性动力学的概念(如李雅普诺夫指数、关联维数和熵)应用于实验数据,验证了分离剪切层的混沌行为程度,从而将分离剪切层从层流到弱湍流的演化与混沌概念联系起来。结果表明,分离剪切层从有序到混沌的转变是通过一次Hopf分岔和周期分岔实现的。
Transition of the separated shear layer has been experimentally investigated for the Reynolds numbers (based on the diameter) ranging from 2.4×103 to 2.0×104. The degree of chaotic behavior of the separated shear layer is verified by applying ideas from nonlinear dynamics (such as Lyapunov exponents, correlation dimension and entropy) to the experimental data, thus relating the evolution of the separated shear layer from the laminar to the weak turbulence to the concept of chaos. The results demonstrate that the transition of the separated shear layer from order to chaos is through one Hopf bifurcation and the periodic bifurcation.