Applied Mathematics and Mechanics

, Volume 24, Issue 6, pp 631–637 | Cite as

Research on the flow stability in a cylindrical particle two-phase boundary layer

  • Lin Jian-zhong
  • Nie De-ming


Based on the momentum and constitutive equations, the modified Orr-Sommerfeld equation describing the flow stability in a cylindrical particle two-phase flow was derived. For a cylindrical particle two-phase boundary layer, the neutral stability curves and critical Reynolds number were given with numerical simulation. The results show that the cylindrical particles have a suppression effect on the flow instability, the larger the particle volume fraction and the particle aspect-ratio are, the more obvious the suppression effect is.

Key words

cylindrical particle two-phase flow boundary layer stability 

Chinese Library Classification


2000 MR Subject Classification

76D10 76T20 70B05 


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  1. [1]
    LIN Jian-zhong. A research summarizaiton of flow characteristic of fiber suspensions [J].Mechanics in Engineering, 2000,22(6):11–17. (in Chinese)Google Scholar
  2. [2]
    Arranaga A B. Friction reduction characteristics of fibrous and colloidal substances[J].Nature, 1970,225:447–449.CrossRefGoogle Scholar
  3. [3]
    Pilipenko V N, Kalinichenko N M, Lemak A S. Stability of the flow of a fiber suspension in the gap between coaxial cylinders[J].Sov Phy Dokl, 1981,26:646–648.zbMATHGoogle Scholar
  4. [4]
    Batchelor G K. The stress generated in a non-dilute suspension of elongational particles by pure straining[J].J Fluid Mech, 1971,46:813–829.zbMATHCrossRefGoogle Scholar
  5. [5]
    Hinch E J. Mechanical models of dilute polymer solutions in strong flows[J].Phys Fluids, 1977,20:22–30.CrossRefGoogle Scholar
  6. [6]
    Cintra J S, Tucker C L. Orthotropic closure approximation for flow-induced fiber orientation[J].J Rheol, 1995,39:1095–1122CrossRefGoogle Scholar

Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Lin Jian-zhong
    • 1
  • Nie De-ming
    • 1
  1. 1.Department of Mechanics, State Key Laboratory of Fluid Power Transmission and ControlZhejiang UniversityHangzhou

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