Skip to main content
SpringerLink
Log in

Plane Recirculation Flows of an Incompressible Fluid. Part II: Flow near a Plate with a Surface Moving against the Flow

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The theory of a plane slowly changing recirculation flows is applied to solve the problems of flow around finite or semiinfinite plates with surfaces moving against the flow. The asymptotic flow structure is investigated and a numerical solution to the nonsteady-state Navier–Stokes equations is obtained.

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

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.
Fig. 11.
Fig. 12.
Fig. 13.
Fig. 14.
Fig. 15.
Fig. 16.
Fig. 17.
Fig. 18.
Fig. 19.
Fig. 20.
Fig. 21.
Fig. 22.
Fig. 23.
Fig. 24.
Fig. 25.
Fig. 26.

Similar content being viewed by others

REFERENCES

  1. Klemp, J.B. and Acrivos, A., A method for integrating the boundary-layer equations through a region of reverse flow, J. Fluid Mech., 1972, vol. 53, part 1, pp. 177–191.

    Article  ADS  MATH  Google Scholar 

  2. Klemp, J.B. and Acrivos, A., A moving-wall boundary layer with reverse flow, J. Fluid Mech., 1976, vol. 76, part 2, pp. 363–381.

    Article  ADS  MATH  Google Scholar 

  3. Chernyi, G.G., Boundary layer on a moving surface, in Izbrannye problemy prikladnoi mekhaniki. Sbornik rabot, posvyashchennyi 60-letiyu akademika V.N. Chelomeya (Selected Problems on Applied Mechanics. Collection of Works, Dedicated to the 60-th Anniversary of the Birth of Academician V.N. Chelomei), Moscow: Nauka, 1974, pp. 709–719.

  4. Chernyi, G.G., Boundary layer on a moving surface, in Aeromekhanika. K 60-letiyu akademika V.V. Struminskogo (Aeromechanics. To the 60th Anniversary of the Birth of Academician V.V. Struminskii), Moscow: Nauka, 1976, pp. 99–104.

  5. Gaifullin, A.M., Plane recirculation flows of an incompressible fluid. Part 1: Theory, Fluid Dyn., 2023, vol. 58, Suppl. 1, pp. S35–S52.

  6. Schlichting, H., Boundary-Layer Theory, New York: McGraw-Hill, 1968.

    MATH  Google Scholar 

  7. Gaifullin, A.M. and Zubtsov, A.V., Asymptotic structure of unsteady flow over a semi-infinite plate with a moving surface, Fluid Dyn., 2013, vol. 48, no. 1, pp. 77–88.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  8. Gaifullin, A.M., Flow past a plate with an upstream-moving surface, Fluid Dyn., 2006, vol. 41, no. 3, pp. 375–380.

    Article  ADS  MathSciNet  Google Scholar 

  9. Gaifullin, A.M. and Zubtsov, A.V., Flow past a plate with a moving surface, Fluid Dyn., 2009, vol. 44, no. 4, pp. 540–544.

  10. Sadovskii, V.S., Plane vortex-potential flows of non-viscous fluid and their applications, Tr. Tsentr. Aerogidrodin. Inst. im. Professora N. E. Zhukovskogo, 1989, no. 2447, p. 108.

  11. Lavrent'ev, M.A. and Shabat, B.V., Problemy gidrodinamiki i ikh matematicheskie modeli (Problems on Hydrodynamics and their Mathematical Models), Moscow: Nauka, 1977.

  12. Gaifullin, A.M., Kiselev, N.N., and Kornyakov, A.A., Flow stability near a plate with a surface moving against an incoming stream, Proc. Int. Conference on the Methods of Aerophysical Research, Novosibirsk, 2014, pp. 73–74.

Download references

Author information

Authors and Affiliations

  1. Zhukovskii Central Aerohydrodynamic Institute (TsAGI), 140181, Zhukovskii, Moscow oblast, Russia

    A. M. Gaifullin

Authors
  1. A. M. Gaifullin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. M. Gaifullin.

Ethics declarations

The author declares that he has no conflicts of interest.

Additional information

Translated by O. Polyakov

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gaifullin, A.M. Plane Recirculation Flows of an Incompressible Fluid. Part II: Flow near a Plate with a Surface Moving against the Flow. Fluid Dyn 58 (Suppl 1), S53–S75 (2023). https://doi.org/10.1134/S0015462823600335

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0015462823600335

Keywords:

Search

Navigation