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Primary instabilities and bicriticality in fiber suspensions between rotating cylinders

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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.

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Authors and Affiliations

  1. Department of Hydraulic and Ocean Engineering, Zhejiang University, Hangzhou, 310028, China

    Wan Zhan-hong & Sun Zhi-lin

  2. School of Informatics and Engineering, Flinders University of South Australia, Adelaide, SA, 5001, Australia

    You Zhen-jiang

Authors
  1. Wan Zhan-hong
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  2. Sun Zhi-lin
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  3. You Zhen-jiang
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Correspondence to Sun Zhi-lin.

Additional information

Project (Nos. 10632070 and 40231017) supported by the National Natural Science Foundation of China

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Wan, Zh., Sun, Zl. & You, Zj. Primary instabilities and bicriticality in fiber suspensions between rotating cylinders. J. Zhejiang Univ. - Sci. A 8, 1435–1442 (2007). https://doi.org/10.1631/jzus.2007.A1435

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  • DOI: https://doi.org/10.1631/jzus.2007.A1435

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