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arXiv 2012.13417astro-ph.HEphysics.flu-dyn
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来自噪声的流体动力学不稳定性的起源:从实验室流到吸积盘

Origin of hydrodynamic instability from noise: from laboratory flow to accretion disk

Subham Ghosh, Banibrata Mukhopadhyay

摘要:

我们试图解决老问题的平面剪切流:湍流的起源,因此在吸积流以及实验室流,如平面Couette流的角动量的运输。我们通过在Orr-Sommerfeld和Squire方程中引入一个额外的力以及模仿吸积盘局部区域的科里奥利力来解决这个问题。对于平面Couette流,Coriolis项下降。然后用WKB近似法求解方程组。我们调查的开普勒流和平面Couette流的所有可能的波矢量组合的色散关系。由于额外的力的存在,我们表明,这两个流动是不稳定的波矢量的一定范围内。然而,流动之间的不稳定性的性质是不同的。我们还研究了微扰本征模的Argand图。它有助于我们比较对应于微扰和吸积的不同时间尺度。我们最终得出这样的结论,流体得到足够的时间是不稳定的,因此,在开普勒吸积盘的局部制度,特别是在可接受的湍流。在整个圆盘中重复分析,分别解释了角动量和物质沿向外和向内方向的传输。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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