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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2005, Vol. 6 Issue (Supplement 1): 1-7    DOI: 10.1007/BF02887208
Mechanical and Energy Engineering     
Non-axisymmetric instability in the Taylor-Couette flow of fiber suspension
WAN Zhan-hong, LIN Jian-zhong, YOU Zhen-jiang
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Abstract  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.

Key words： Fiber suspensions      Taylor-Couette flow      Hydrodynamic instability     
CLC:  O359  
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WAN Zhan-hong
LIN Jian-zhong
YOU Zhen-jiang
Cite this article:

WAN Zhan-hong, LIN Jian-zhong, YOU Zhen-jiang. Non-axisymmetric instability in the Taylor-Couette flow of fiber suspension. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6(Supplement 1): 1-7.

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http://www.zjujournals.com/xueshu/zjus-a/10.1007/BF02887208     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2005/V6/ISupplement 1/1

[1] WAN Zhan-hong, SUN Zhi-lin, YOU Zhen-jiang. Primary instabilities and bicriticality in fiber suspensions between rotating cylinders[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(9): 1435-1442.
[2] LIN Jian-zhong, ZHANG Ling-xin. On the structural features of fiber suspensions in converging channel flow[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2003, 4(4): 400-406.