Stability Analysis in Spatial Mode for Channel Flow of Fiber Suspensions

LIN Jian-zhong; YOU Zhen-jiang

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LIN Jian-zhong, YOU Zhen-jiang. Stability Analysis in Spatial Mode for Channel Flow of Fiber Suspensions[J]. Applied Mathematics and Mechanics, 2003, 24(8): 771-778.

Citation:

LIN Jian-zhong, YOU Zhen-jiang. Stability Analysis in Spatial Mode for Channel Flow of Fiber Suspensions[J]. Applied Mathematics and Mechanics, 2003, 24(8): 771-778.

Citation:

LIN Jian-zhong, YOU Zhen-jiang. Stability Analysis in Spatial Mode for Channel Flow of Fiber Suspensions[J]. Applied Mathematics and Mechanics, 2003, 24(8): 771-778.

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Stability Analysis in Spatial Mode for Channel Flow of Fiber Suspensions

Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, P. R. China

Received Date: 2002-08-25
Rev Recd Date: 2003-04-29
Publish Date: 2003-08-15

Abstract

Abstract

Different from previous temporal evolution assumption,the spatially growing mode was employed to analyze the linear stability for the channel flow of fiber suspensions.The stability equation applicable to fiber suspensions was established and solutions for a wide range of Reynolds number and angular frequency were given numerically.The results show that,the flow instability is governed by a parameter Hwhich represents a ratio between the axial stretching resistance of fiber and the inertial force of the fluid.Anincrease of Hleads to araise of the critical Reynolds number,adecrease of corresponding wave number,a slowdown of the decreasing of phase velocity,a growth of the spatial attenuation rate and a diminishment of the peak value of disturbance velocity.Although the unstable region is reduced on the whole,longwave disturbances are susceptible to fibers.
- flow stability,
- spatial mode,
- fiber suspensions,
- channel flow

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References(14)

References

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