Applied Mathematics and Mechanics

, Volume 22, Issue 3, pp 304–311 | Cite as

Research on coherent structures in a mixing layer of the FENE-P polymer solution

  • Shao Xue-ming
  • Lin Jian-zhong
  • Yu Zhao-shen


The evolution of the coherent structures in a two-dimensional time-developing mixing layer of the FENE-P fluids is examined numerically. By the means of an appropriate filtering for the polymer stress, some characteristics of the coherent structures at high b were obtained, which Azaiez and Homsy did not address. The results indicate that adding polymer to the Newtonian fluids will cause stronger vorticity diffusion, accompanied with weaker fundamental and subharmonical perturbations and slower rotational motion of neighboring vortices during pairing. This effect decreases with the Weissenberg number, but increases with b. In addition, the time when the consecutive rollers are completely coalesced into one delays in the viscoelastic mixing layer compared with the Newtonian one of the same total viscosity.

Key words

mixing layers coherent structures FENE-P model pseudo-spectral method 

CLC number



Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Rogers M M, Moser R D. The three-dimensional evolution of a plane mixing layer: the Kelvin-Helmholtz rollup[J].J Fluid Mech, 1992,243(1):183–226.zbMATHCrossRefGoogle Scholar
  2. [2]
    Hibberd M, Kwade M, Scharf R. Influence of drag reducing additives on the structure of turbulence in a mixing layer[J].Rheol Acta, 1982,21(5):582–586.CrossRefGoogle Scholar
  3. [3]
    Riediger S.Drag Reduction in Fluid Flow[M]. Chichester: Ellis Horwood, 1989, 303–310.Google Scholar
  4. [4]
    Azaiez J, Homsy G M. Numerical simulation of non-Newtonian free shear flows at high reynolds numbers[J].J Non-Newtonian Fluid Mech, 1994,52(3):333–374.CrossRefGoogle Scholar
  5. [5]
    Michalke A. On the inviscid instability of the hyperbolic-tangent velocity profile[J].J Fluid Mech, 1964),19(4):543–556.zbMATHMathSciNetCrossRefGoogle Scholar
  6. [6]
    YU Zhao-sheng LIN Jian-zhong. Numerical research of interactions between rigid rod-like polymers and coherent structure in a mixing layer[J].Acta Mechanica Sinica, 1998,30(6):743–747. (in Chinese)Google Scholar

Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Shao Xue-ming
    • 1
    • 2
  • Lin Jian-zhong
    • 1
    • 2
  • Yu Zhao-shen
    • 1
  1. 1.Department of MechanicsZhejiang UniversityHangzhouP R China
  2. 2.State Key Laboratory of Fluid Transmission and ControlHangzhouP R China

Personalised recommendations