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| Three-Dimensional Modes of Fiber Suspensions in the Taylor-Couette Flow | |
| 引用本文： | 万占鸿 林建忠 游振江. Three-Dimensional Modes of Fiber Suspensions in the Taylor-Couette Flow[J]. 东华大学学报(英文版), 2007, 24(1): 57-63 |
| 作者姓名： | 万占鸿 林建忠 游振江 |
| 作者单位： | [1]不详 [2]China Jiliang University,Hangzhou310018,China [3]School of Informatics and Engineering ,Flinders University of South Australia,Australia |
| 摘 要： | 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. |
| 关 键 词： | Taylor-Couette流 纤维悬浮 三维模式 水力学不稳定性 |
| 文章编号： | 1672-5220（2007）01-0057-07 |
| 修稿时间： | 2005-04-19 |
Three-Dimensional Modes of Fiber Suspensions in the Taylor-Couette Flow |
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| WAN Zhan-hong,LIN Jian-zhong,YOU Zhen-jiang. Three-Dimensional Modes of Fiber Suspensions in the Taylor-Couette Flow[J]. Journal of Donghua University, 2007, 24(1): 57-63 | |
| Authors: | WAN Zhan-hong LIN Jian-zhong YOU Zhen-jiang |
| Affiliation: | 1. Department of Hydraulic and Ocean Engineering, the State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310028,China 2. China Jiliang University, Hangzhou 310018, China 3. School of Informatics and Engineering, Flinders University of South Australia, Australia |
| Abstract: | 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. |
| Keywords: | fiber suspensions Taylor-Couette flow hydrodynamic instability |
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