论文标题
从噪声到噪声的流体动力不稳定性的起源：从实验室流到积聚磁盘
Origin of hydrodynamic instability from noise: from laboratory flow to accretion disk
论文作者
论文摘要
我们试图解决平面剪切流的旧问题：湍流的起源，因此在积聚流中的角动量运输以及实验室流，例如平面couette流。我们通过在Orr-Sommerfeld和Squire方程中引入额外的力以及模仿积聚磁盘局部区域的Coriolis力来解决问题。对于平面轴向流，科里奥利术语降低。随后，我们通过WKB近似方法求解方程。我们研究了波向量的所有可能组合的开普勒流量和平面库特流的分散关系。由于存在额外的力，我们表明两个流量对于一定范围的波矢量都是不稳定的。但是，流之间不稳定性的性质是不同的。我们还研究了扰动本征示例的Argand图。它有助于我们比较与扰动和积聚相对应的不同时间尺度。我们最终以这种形式主义得出结论，流体有足够的时间变得不稳定，因此有可能发生动荡，尤其是在开普勒磁盘的当地政权中。整个磁盘的分析重复分别解释了角动量和物质向外和向内方向的运输。
We attempt to address the old problem of plane shear flows: the origin of turbulence and hence transport of angular momentum in accretion flows as well as laboratory flows, such as plane Couette flow. We undertake the problem by introducing an extra force in Orr-Sommerfeld and Squire equations along with the Coriolis force mimicking the local region of the accretion disk. For plane Couette flow, the Coriolis term drops. Subsequently we solve the equations by WKB approximation method. We investigate the dispersion relation for the Keplerian flow and plane Couette flow for all possible combinations of wave vectors. Due to the very presence of extra force, we show that both the flows are unstable for a certain range of wave vectors. However, the nature of instability between the flows is different. We also study the Argand diagrams of the perturbation eigenmodes. It helps us to compare the different time scales corresponding to the perturbations as well as accretion. We ultimately conclude with this formalism that fluid gets enough time to be unstable and hence plausibly turbulent particularly in the local regime of the Keplerian accretion disks. Repetition of the analysis throughout the disk explains the transport of angular momentum and matter along outward and inward direction respectively.
