Advertisement

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
Article

Abstract

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

O359 

2000 MR Subject Classification

76D10 76T20 70B05 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  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

Personalised recommendations