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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2007, Vol. 8 Issue (9): 1435-1442    DOI: 10.1631/jzus.2007.A1435
Civil Engineering & Mechanics     
Primary instabilities and bicriticality in fiber suspensions between rotating cylinders
WAN Zhan-hong, SUN Zhi-lin, YOU Zhen-jiang
Department of Hydraulic and Ocean Engineering, Zhejiang University, Hangzhou 310028, China; School of Informatics and Engineering, Flinders University of South Australia, Adelaide, SA 5001, Australia
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Abstract  The linear stability of fiber suspensions between two concentric cylinders rotating independently is studied. The modified stability equation is obtained based on the fiber orientation model and Hinch-Leal closure approximation. The primary instabilities and bicritical curves have been calculated numerically. The critical Reynolds number, wavenumber and wave speeds of fiber suspensions as functions of the aspect ratio, volume concentration of the fibers and the gap width of cylinders are obtained.

Key words： Fiber suspensions      Primary instability      Non-axisymmetric disturbances     
Received: 21 February 2007     
CLC:  TN929.5  
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WAN Zhan-hong
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YOU Zhen-jiang
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WAN Zhan-hong, SUN Zhi-lin, YOU Zhen-jiang. Primary instabilities and bicriticality in fiber suspensions between rotating cylinders. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(9): 1435-1442.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2007.A1435     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2007/V8/I9/1435

[1] 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 (Applied Physics & Engineering), 2005, 6(Supplement 1): 1-7.
[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.