Augmented Lorenz Equations as Physical Model for Chaotic Gas Turbine
Augmented Lorenz Equations as Physical Model for Chaotic Gas Turbine
复制标题
增广洛伦兹方程作为混沌燃气轮机的物理模型
DOI：
10.1016/j.piutam.2012.06.013
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
T. Toriyama
中科院分区：
文献类型：
--
作者：
T. Miyano;K. Cho;Y. Okada;J.Tatsutani;T. Toriyama
受40年前由马库斯和霍华德发明的符合洛伦兹方程的混沌水轮的启发，我们通过机械模拟流体从下加热和从上冷却的瑞利-巴姆纳德对流，开发了一种混沌燃气轮机。涡轮旋转运动的不规律逆转类似于高瑞利数湍流热对流大尺度环流的随机逆转。燃气轮机运动方程的无量纲化表达式被表示为由许多洛伦兹子系统组成的星形网络，这些子系统共享涡轮转子的无量纲角速度作为中心节点，称为增广洛伦兹方程。我们报告了观察到的涡轮运动，并讨论了它的动力特性。
Motivated by the chaotic waterwheel subject to the Lorenz equations, which was invented by Malkus and Howard about 40 years ago, we have developed a chaotic gas turbine by mechanically simulating the Rayleigh-Bénard convection of fluids heated from below and cooled from above. The rotational motion of the turbine erratically reverses its direction similarly to the random reversal of large-scale circulation in turbulent thermal convection at high Rayleigh numbers. The nondimensionalized expression for the equations of motion of our gas turbine is represented as a starlike network of many Lorenz subsystems sharing the dimensionless angular velocity of the turbine rotor as the central node, referred to as augmented Lorenz equations. We report the observed motion of the turbine and discuss its dynamical properties.