Skip to main content
SpringerLink
Log in

Viscoelastic medium flows in convergent-divergent channels

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The problem of viscoelastic fluid flow in a convergent-divergent channel is considered. A mathematical model and the results of numerical investigations are presented. A model of the differential type is used to describe the rheological properties of viscoelastic fluids. A comparative analysis of the flow parameters of generalized Newtonian and viscoelastic fluids in the channels considered is carried out on the basis of the results of numerical calculations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P.N. Kaloni, “On Creeping Flow of Viscoelastic Liquid in Converging Channel,” J. Phys. Soc. Jap. 20, 132 (1965).

    Article  ADS  MATH  Google Scholar 

  2. N. Pnan-Thien, “Plane and Axisymmetric Stagnation Flow of a Maxwellian Fluid,” J. Non-Newton. Fluid Mech. 13, 325 (1983).

    Article  Google Scholar 

  3. N. Pnan-Thien, “Squeezing a Viscoelastic Liquid from aWedge: an Exact Solution,” J. Non-Newton. FluidMech. 14, 329 (1984).

    Article  Google Scholar 

  4. N. Pnan-Thien, “The Squeeze-Film Flow of a Viscoelastic Fluid,” J. Non-Newton. Fluid Mech. 24, 97 (1988).

    Article  Google Scholar 

  5. A.M. Hull, “An Exact Solution for the Slow Flow of a General Linear Viscoelastic Fluid through a Slit,” J. Non-Newton. Fluid Mech. 8, 327 (1981).

    Article  MATH  Google Scholar 

  6. A.M. Hull and J.R.A. Pearson, “On the Converging Flow of Viscoelastic Fluids through Cones and Wedges,” J. Non-Newton. Fluid Mech. 17, 219 (1986).

    Google Scholar 

  7. M.A. Brutyan and P.L. Krapivskii, “Hydrodynamics of Non-Newtonian Fluids,” in: Advances in Science and Engineering. All-Union Institute of Science and Technical Information. Complex and Special Divisions of Mechanics Series. Vol. 4 [in Russian], Moscow (1991), p. 3.

  8. G. Astarita and G. Marucci, Principles of Non-Newtonian Fluid Hydromechanics, McGraw Hill, New York (1974).

    Google Scholar 

  9. P. Germain, Cours de mécanique des milieux continus, Masson, Paris (1973).

    MATH  Google Scholar 

  10. V.G. Litvinov, Flows of Nonlinear Viscous Fluids [in Russian], Nauka, Moscow (1982).

    Google Scholar 

Download references

Authors
  1. E. K. Vachagina
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. R. Galiullina
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. R. Khalitova
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © E.K. Vachagina, G.R. Galiullina, G.R. Khalitova, 2011, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2011, Vol. 46, No. 3, pp. 82–88.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vachagina, E.K., Galiullina, G.R. & Khalitova, G.R. Viscoelastic medium flows in convergent-divergent channels. Fluid Dyn 46, 412–417 (2011). https://doi.org/10.1134/S0015462811030069

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0015462811030069

Keywords

Search

Navigation