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On the nonlinear instability of fiber suspensions in a Poiseuille flow
Wan Zhanhong,Lin Jianzhong * #,Hongbing Xiong
Department of Mechanics
*Correspondence author
#Submitted by
Subject:
Funding: 教育部博士点基金（No.20030335001）
Opened online:26 December 2005
Accepted by: none
Citation: Wan Zhanhong,Lin Jianzhong,Hongbing Xiong.On the nonlinear instability of fiber suspensions in a Poiseuille flow[OL]. [26 December 2005] http://en.paper.edu.cn/en_releasepaper/content/4651
 
 
The nonlinear instability characteristics of fiber suspensions in a plane Poiseuille flow are investigated. The evolution equation of the perturbation amplitude analogous to Landau equation is formulated and solved numerically for different fiber parameters. It is found that the equilibrium amplitude decreases with the increase the fiber aspect ratio and volume fraction, i.e. the addition of the fibers reduces the amplitude of the perturbation, and leads to the reduction of the flow instability. This phenomenon becomes significant for large volume concentration and aspect ratio. The mechanism of the reduction of the flow instability is also analyzed by taking into account of the modification of the mean flow and the energy transfer from the mean flow to the perturbation flow.
Keywords: Nonlinear instability; Fiber suspensions; Poiseuille flow
 
 
 

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