Skip to main content
Log in

Evolution of Two Vortices Near a Solid Surface

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

A numerical solution is found for the problem of evolution of two oppositely rotating vortices in a viscous incompressible fluid near a solid surface. The mechanism of vortex dissipation is determined. The trajectory of vortex motion is constructed.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. H. Schlichting, Boundary Layer Theory (McGraw-Hill, New York, 1979).

    MATH  Google Scholar 

  2. A. M. Gaifullin, Vortex Flows (Nauka, Moscow, 2015) [in Russian].

    Google Scholar 

  3. J. K. Harvey and F. J. Perry, “Flowfield Produced by Trailing Vortices in the Vicinity of the Ground,” AIAA J. 9 (8), 1659–1660 (1971).

    Article  ADS  Google Scholar 

  4. A. M. Gaifullin and D. A. Gadzhiev, “Evolution of Vortex Wake near the Earth’s Surface,” AIP Conf. Proc. 1770, 1–8 (2016).

    Google Scholar 

  5. A. M. Gaifullin and A. V. Zubtsov, “Diffusion of Two Vortices,” Izv. Ross. Akad. Nauk, No. 1, 126–142 (2002).

    MATH  Google Scholar 

  6. O. A. Frolovskaya, “Unsteady Self-Similar Viscous Flow near a Stagnation Point,” Prikl. Mekh. Tekh. Fiz. 57 (3), 3–8 (2016) [J. Appl. Mech. Tech. Phys. 57 (3), 391–395 (2016)].

    MathSciNet  MATH  Google Scholar 

  7. S. Ersoy and J. D. A. Walker, “Viscous Flow Induced by Counter-Rotating Vortices,” Phys. Fluids 28 (9), 2687–2698 (1985).

    Article  ADS  MATH  Google Scholar 

  8. P. J. Roache, Computational Fluid Dynamics (Hermosa, Albuquerque, 1976).

    MATH  Google Scholar 

  9. Z. C. Zheng and R. L. Ash, “Study of AircraftWake Vortex Behavior near the Ground,” AIAA J. 34 (3), 580–589 (1996).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. A. Gadzhiev.

Additional information

Original Russian Text © D.A. Gadzhiev, A.M. Gaifullin.

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 59, No. 2, pp. 31–38, March– April, 2018.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gadzhiev, D.A., Gaifullin, A.M. Evolution of Two Vortices Near a Solid Surface. J Appl Mech Tech Phy 59, 212–218 (2018). https://doi.org/10.1134/S0021894418020049

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021894418020049

Keywords

Navigation