Three-dimensional modes of fiber suspensions in the Taylor-Couette flow
Three-dimensional modes of fiber suspensions in the Taylor-Couette flow
复制标题
Taylor-Couette 流中纤维悬浮液的三维模式
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
万占鸿
中科院分区：
文献类型：
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作者：
游振江;林建忠;万占鸿
研究了纤维悬浮Taylor-Couette流在轴对称和非轴对称扰动下的线性稳定性。利用Chebyshev谱方法对三维控制系统方程组在Couette方位角基本解附近的线性化问题进行了数值求解。在较宽的半径比和反向旋转幅度范围内，得到了轴对称Couette流到不同方位波数流的临界分叉阈值。对于轴向扩展的涡结构，计算了不同方位波数的涡斑图的线性化稳定性方程组的复频散关系，得到了真实的轴向波数。
The linear stability analysis of the fiber suspension Taylor-Couette flow against axisymmetric and non-axisymmetric disturbances is investigated. A generalized complex eigenvalue problem generated from the linearized set of the three-dimensional governing system equations around the basic Couette azimuthal solution are solved numerically with the Chebyshev spectral method. In a wide range of radius ratios and the magnitudes of counter rotating, critical bifurcation thresholds from the axisymmetric Couette flow to the flow with different azimuthal wave numbers are obtained. The complex dispersion relations of the linearized stability equation system for vortex patterns with different azimuthal wave number are calculated for real axial wave numbers for axially extended vortex structures.