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Three-Dimensional Modes of Fiber Suspensions in the Taylor-Couette Flow

WAN Zhan-hong LIN Jian-zhong YOU Zhen-jiang

东华大学学报(英文版)2007,Vol.24Issue(1):57-63,7.
东华大学学报(英文版)2007,Vol.24Issue(1):57-63,7.

Three-Dimensional Modes of Fiber Suspensions in the Taylor-Couette Flow

Three-Dimensional Modes of Fiber Suspensions in the Taylor-Couette Flow

WAN Zhan-hong 1LIN Jian-zhong 2YOU Zhen-jiang3

作者信息

  • 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
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摘要

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.

关键词

fiber suspensions/Taylor-Couette flow/hydrodynamic instability

Key words

fiber suspensions/Taylor-Couette flow/hydrodynamic instability

分类

数理科学

引用本文复制引用

WAN Zhan-hong,LIN Jian-zhong,YOU Zhen-jiang..Three-Dimensional Modes of Fiber Suspensions in the Taylor-Couette Flow[J].东华大学学报(英文版),2007,24(1):57-63,7.

基金项目

the Major Program of the National Natural Science Foundation of China with Grant No 10632070. ()

东华大学学报(英文版)

1672-5220

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