弯曲天体物理圆盘中的流体动力学不稳定性
Hydrodynamic instability in warped astrophysical discs
摘要：
翘曲的天体物理圆盘通常被视为层流粘性流，当圆盘接近开普勒并且粘度很小时，它具有异常的性质：产生快速的水平剪切运动和大扭矩，这导致翘曲迅速发展，在某些情况下，速度与粘度成反比。然而，这些流动往往受到线性流体动力学不稳定性，这可能会产生小规模的湍流和修改大规模的动态光盘。本文用弯曲剪切薄板计算弯曲圆盘中的振荡层流，并用Floquet方法分析其线性稳定性。我们发现广泛的流体动力学不稳定性来自惯性波的参数共振。即使是非常小的，不可观察到的翘曲几乎开普勒磁盘的低粘度可以预期产生流体动力学湍流，或至少波活动，通过这种机制。
英文摘要：
Warped astrophysical discs are usually treated as laminar viscous flows, which have anomalous properties when the disc is nearly Keplerian and the viscosity is small: fast horizontal shearing motions and large torques are generated, which cause the warp to evolve rapidly, in some cases at a rate that is inversely proportional to the viscosity. However, these flows are often subject to a linear hydrodynamic instability, which may produce small-scale turbulence and modify the large-scale dynamics of the disc. We use a warped shearing sheet to compute the oscillatory laminar flows in a warped disc and to analyse their linear stability by the Floquet method. We find widespread hydrodynamic instability deriving from the parametric resonance of inertial waves. Even very small, unobservable warps in nearly Keplerian discs of low viscosity can be expected to generate hydrodynamic turbulence, or at least wave activity, by this mechanism.
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