Full Text:   <1061>

CLC number: O359

On-line Access: 

Received: 2005-01-20

Revision Accepted: 2005-03-16

Crosschecked: 0000-00-00

Cited: 0

Clicked: 2463

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.100 P.1~7


Non-axisymmetric instability in the Taylor-Couette flow of fiber suspension

Author(s):  WAN Zhan-hong, LIN Jian-zhong, YOU Zhen-jiang

Affiliation(s):  Department of Mechanics, the State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   jzlin@sfp.zju.edu.cn

Key Words:  Fiber suspensions, Taylor-Couette flow, Hydrodynamic instability

Share this article to: More |Next Article >>>

WAN Zhan-hong, LIN Jian-zhong, YOU Zhen-jiang. Non-axisymmetric instability in the Taylor-Couette flow of fiber suspension[J]. Journal of Zhejiang University Science A, 2005, 6(100): 1~7.

@article{title="Non-axisymmetric instability in the Taylor-Couette flow of fiber suspension",
author="WAN Zhan-hong, LIN Jian-zhong, YOU Zhen-jiang",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T Non-axisymmetric instability in the Taylor-Couette flow of fiber suspension
%A WAN Zhan-hong
%A LIN Jian-zhong
%A YOU Zhen-jiang
%J Journal of Zhejiang University SCIENCE A
%V 6
%N 100
%P 1~7
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.AS0001

T1 - Non-axisymmetric instability in the Taylor-Couette flow of fiber suspension
A1 - WAN Zhan-hong
A1 - LIN Jian-zhong
A1 - YOU Zhen-jiang
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 100
SP - 1
EP - 7
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2005.AS0001

An analysis of the instability in the taylor-Couette flow of fiber suspensions with respect to the non-axisymmetric disturbances was performed. The constitutive model proposed by Ericksen was used to represent the role of fiber additives on the stress tensor. The generalized eigenvalue equation governing the hydrodynamic stability of the system was solved using a direct numerical procedure. The results showed that the fiber additives can suppress the instability of the flow. At the same time, the non-axisymmetric disturbance is the preferred mode that makes the fiber suspensions unstable when the ratio of the angular velocity of the outer cylinder to that of the inner cylinder is a large negative number.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1] Azaiez, J., 2000a. Linear stability of free shear flows of fiber suspensions. J. Fluid Mech., 404:179-209.

[2] Azaiez, J., 2000b. Reduction of free shear flows instability: Effects of polymer versus fiber additives. J. Non-Newtonian Fluid Mech., 91:233-254.

[3] Batchelor, G.K., 1971. The stress generated in a non-dilute suspension of elongational particles by pure straining. J. Fluid Mech., 46:813-829.

[4] Blaise, N., 1994. Transition from circular Couette flow to Taylor vortex flow in dilute and semi-concentrated suspensions of stiff fibers. J. Phys. II France, 4:9-22.

[5] Dinh, S.M., Armstrong, R.C., 1984. A rheological equation state for semi-concentrated fiber suspensions. J. Rheol., 28:207-227.

[6] Erickson, J.L., 1960. Transversely isotropic fluids. Kolloid Z., 173:117-122.

[7] Gupta, V.K., Sureshkumar, R., Khomami, B., Azaiez, J., 2002.

[8] Centrifugal instability of semidilute non-Brownian fiber suspensions. J. Phys. Fluids, 14:1958-1971.

[9] Hand, G.L., 1961. A theory of dilute suspensions. Arch. Rat. Mech. Anal., 7:81-86.

[10] Hinch, E.J., Leal, L.G., 1972. The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles. J. Fluid Mech., 52:683-712.

[11] Frigaard, I., Nouar, C., 2003. On three-dimensional linear stability of Poiseuille flow of Bingham fluids. Phys. Fluids, 15:2843-2851.

[12] Lin, J.Z., You, Z.J., 2003. Stability in the circular pipe flow of fiber suspensions. Journal of Hydrodynamics, 2:12-18.

[13] Lin, J.Z., Zhang, L.X., 2003. On the structural features of fiber suspensions in converging channel flow. Journal of Zhejiang University SCIENCE, 4(4):400-406.

[14] Orszag, S.A., 1971. An accurate solution of the Orr-Sommerfeld equation. J Fluid Mech., 50:689-703.

[15] Pilipenko, V.N., Kalinichenko, N.M., Lemak, A.S., 1981. Stability of the flow of a fiber suspension in the gap between coaxial cylinders. Sov. Phys. Dokl., 26: 646-648.

[16] Recktenwald, A., Lucke, M., Muller, H.W., 1993. Taylor vortex formation in axial through-flow: Linear and weakly nonlinear analysis. Phys. Rev. E, 48(6):4444-4454.

[17] Shaqfeh, E.S.G., Frederickson, G.H., 1990. The hydrodynamic stress in a suspension of rods. Phys. Fluids, 2:7-24.

[18] Trefethen, L.N., 2000. Spectral Methods in MATLAB. SIAM, Philadelphia, PA. Weideman, J.A.C., Reddy, S.C., 2000. A MATLAB differentiation matrix suite. ACM Transaction on Mathematical Software, 26(4):465-519.

[19] You, Z.J., Lin, J.Z., Yu, Z.S., 2004. Hydrodynamic instability of fibre suspensions in channel flows. Fluid Dynamics Research, 34(4):251-271.

[20] Zhou, K., Lin, J.Z., 2005. Research on the behavior of fiber orientation probability distribution function in the planar flows. Journal of Zhejiang University SCIENCE, 6A(4):257-264.

Open peer comments: Debate/Discuss/Question/Opinion


Please provide your name, email address and a comment

Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - Journal of Zhejiang University-SCIENCE