Russian Journal of Physical Chemistry B

, Volume 13, Issue 5, pp 842–848 | Cite as

Flow Bifurcations of Shear-Thinning Fluids in a Channel with Sudden Contraction and Expansion

  • S. A. PatlazhanEmail author
  • D. E. Roshchin
  • I. V. Kravchenko
  • A. A. Berlin


The flow bifurcation transitions of shear-thinning fluids in a channel with sudden contraction and expansion are studied by means of numerical modeling. The rheological properties of the non-Newtonian fluids under consideration are described with the Carreau–Yasuda model. Flow-bifurcation diagrams for media with different viscosity curves are calculated. It is shown that the values of the critical Reynolds number in the bifurcation point and length of the formed corner vortices substantially depend on the slope of the viscosity curve.


variable cross-section channel shear-thinning fluids flow bifurcation 



The numerical calculations were performed using the computational resources of the Joint Supercomputer Center of the Russian Academy of Sciences.


The scientific research work was supported in part by grants within the framework of the State Assignments under Contract nos. 0082-2014-0013 and 0089-2019-0001, and by the Russian Foundation for Basic Research (project no. 18-29-17072).


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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  • S. A. Patlazhan
    • 1
    Email author
  • D. E. Roshchin
    • 2
    • 3
  • I. V. Kravchenko
    • 2
  • A. A. Berlin
    • 1
  1. 1.Semenov Federal Research Center for Chemical Physics, Russian Academy of SciencesMoscowRussia
  2. 2.Institute of Problems of Chemical Physics, Russian Academy of SciencesChernogolovkaRussia
  3. 3.Moscow Institute of Physics and Technology (National Research University)DolgoprudnyRussia

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