Effect of coupling and linear transformation of waves in shear flows.
Effect of coupling and linear transformation of waves in shear flows.
复制标题
剪切流中波的耦合和线性变换的影响。
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
Tsiklauri
中科院分区：
文献类型：
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作者：
Chagelishvili;Rogava;Tsiklauri
发现了剪切流中波的相互转化和能量传递的一种新的线性机制。在一个最简单的例子--具有均匀速度剪切的无界平行流体磁流中的二维波上演示了这种影响。这一现象对于磁流体力学和聚变等离子体装置以及各种陆地和天体物理剪切流都具有重要意义。多亏了对流动中扰动演化的非模态分析，掌握结果成为可能。@S1063-651X~96！11605-6#PACS号~S：52.35.Bj，03.40.Kf，47.20。需要强调的是：~i！这类动力系统通常由耦合振子组成，具有多个自由度；~ii！在大多数情况下，振荡器的参数不是恒定的，而是在时间@1#内缓慢变化。在这样的系统中发生的过程极其复杂，它们的研究不仅适用于物理学的各个分支，而且还适用于化学、生物学、社会学和其他科学。对动态的这两个关键方面进行研究，在某些物理情况下，它们彼此密切相关
A new linear mechanism of reciprocal transformation of waves and a corresponding energy transfer in shear flows is discovered. The effect is demonstrated on the simplest example — the two-dimensional waves in unbounded, parallel hydromagnetic flow with uniform velocity shear. The phenomenon discovered is of importance for magnetohydrodynamics and fusion plasma devices and for various terrestrial and astrophysical shear flows. Grasping the result became possible thanks to the nonmodal analyses of the perturbation evolution in the flow. @S1063-651X~96!11605-6# PACS number~s!: 52.35.Bj, 03.40.Kf, 47.20.Ft Oscillatory systems are prevalent in the nature and play an important role in the wide variety of physical processes. It should be emphasized that: ~i! these kinds of dynamical systems usually consist of coupled oscillators and have several degrees of freedom; ~ii! parameters of the oscillators in most cases are not constant but vary slowly in time @1#. The processes taking place in such systems are immensely complex and their study is applicable not only to the various branches of physics, but also to chemistry, biology, sociology, and other sciences. Investigation of these two key aspects of dynamics, closely related to each other in some physical situa