Compressible Taylor-Couette flow - instability mechanism and codimension 3 points
Compressible Taylor-Couette flow - instability mechanism and codimension 3 points
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可压缩 Taylor-Couette 流 - 不稳定机制和余维数 3 点
DOI：
10.1017/jfm.2014.279
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发表时间：
2014
影响因子：
3.7
通讯作者：
Welsh S
中科院分区：
文献类型：
--
作者：
Welsh S
研究了可压缩理想气体中的泰勒-库埃特流动。不稳定的发病检查作为一个功能的雷诺数的内部和外部的圆柱体，马赫数的流量和普朗特数的气体。我们专注于宽间隙的情况下，半径比0.5。我们发现了新的模式的不稳定性在高普朗特数，这可以让振荡轴对称模式的发病第一。我们还发现，发病时，甚至可以发生角动量向外增加，使经典的瑞利准则可以违反可压缩的情况下。我们还考虑了反向旋转圆柱体的情况，其中模式接触而不是交叉。复杂的余维3点更容易发生在可压缩的情况下比在Boussinesq的情况下，他们预计将导致丰富的非线性行为。
Taylor–Couette flow in a compressible perfect gas is studied. The onset of instability is examined as a function of the Reynolds numbers of the inner and outer cylinder, the Mach number of the flow and the Prandtl number of the gas. We focus on the case of a wide gap, with radius ratio 0.5. We find new modes of instability at high Prandtl number, which can allow oscillatory axisymmetric modes to onset first. We also find that onset can occur even when the angular momentum increases outwards, so that the classical Rayleigh criterion can be violated in the compressible case. We have also considered the case of counter-rotating cylinders, where the modes touch rather than cross. Complex codimension 3 points occur more readily in the compressible case than in the Boussinesq case, and they are expected to lead to a rich nonlinear behaviour.