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
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 instabilityKey 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. ()