Feedback control of weakly nonlinear Rayleigh–Bénard–Marangoni convection
Feedback control of weakly nonlinear Rayleigh–Bénard–Marangoni convection
复制标题
弱非线性瑞利-贝纳德-马兰戈尼对流的反馈控制
DOI：
10.1017/s0022112001004670
复制
发表时间：
2001
影响因子：
3.7
通讯作者：
R. Kelly
中科院分区：
文献类型：
--
作者：
A. Or;R. Kelly
我们将弱非线性理论应用于 Nield 模型，研究比例反馈控制对有限波长 Rayleigh-Bénard-Marangoni (RBM) 对流的发生和发展的影响，该模型包括热毛细管作用和浮力，但忽略了自由表面的变形。使用两层模型配置，其在液体顶部具有纯导电气体层。在反馈控制分析中，考虑温度或热通量形式的控制行为。假设测量和控制动作在空间和时间上是连续的。除了证明可以在线性基础上实现基本状态的稳定之外，结果还表明，这里使用的线性和非线性控制过程也可以改变各种弱非线性流动特性。这些包括改变六边形对流的性质以及与亚临界分岔相关的亚临界滞后量。
We study the effect of proportional feedback control on the onset and development of finite-wavelength Rayleigh–Bénard–Marangoni (RBM) convection using weakly nonlinear theory as applied to Nield's model, which includes both thermocapillarity and buoyancy but ignores deformation of the free surface. A two-layer model configuration is used, which has a purely conducting gas layer on top of the liquid. In the feedback control analysis, a control action in the form of temperature or heat flux is considered. Both measurement and control action are assumed to be continuous in space and time. Besides demonstrating that stabilization of the basic state can be achieved on a linear basis, the results also indicate that a wide range of weakly nonlinear flow properties can also be altered by the linear and nonlinear control processes used here. These include changing the nature of hexagonal convection and the amount of subcritical hysteresis associated with subcritical bifurcation.