Stability of density-stratified viscous Taylor-Couette flows
Stability of density-stratified viscous Taylor-Couette flows
复制标题
密度分层粘性泰勒-库埃特流的稳定性
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
G. Ruediger
中科院分区：
文献类型：
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作者：
D. Shalybkov;G. Ruediger
我们考虑了密度分层粘性Taylor-Couette流的稳定性，使用Boussinesq近似，但没有使用任何短波近似。根据瑞利准则（μ m）不稳定的流动，我们从未发现不稳定模式。当接近这一极限时，雷诺数迅速增长到非常大的值（见图2和图3）。第3和第4段）。同样引人注目的是，对于较高的m，边缘稳定性线越来越少地穿透到瑞利线以外的区域，因此我们必须把平流转动不稳定性看作是低m不稳定性。最后，我们简要地讨论了这些结果的适用性吸积盘的稳定性问题，其强烈的密度分层和快速旋转。
We consider the stability of density-stratified viscous Taylor-Couette flow using the Boussinesq approximation, but without any use of the short-wave approximation. Flows which are unstable according to the Rayleigh criterion (μ η, we never found unstable modes. The Reynolds numbers grow rapidly to very large values as this limit is approached (see Figs. 3 and 4). Also striking is that the marginal stability lines for the higher m penetrate less and less into the region beyond the Rayleigh line, so that we have to consider the stratorotational instability as a low-m instability. Finally, we briefly discuss the applicability of these results to the stability problem of accretion disks, with their strong density stratification and rapid rotation.