Skip to main content
SpringerLink
Log in

Dynamics of vortex rings in viscous fluids

  • Original Article
  • Published:
Theoretical and Computational Fluid Dynamics Aims and scope Submit manuscript

Abstract

As part of a long range study of vortex rings, their dynamics, interactions with boundaries and with each other, we present the results of experiments on thin core rings generated by a piston gun in water. We characterize the dynamics of these rings by means of the traditional equations for such rings in an inviscid fluid suitably modifying them to be applicable to a viscous fluid. We develop expressions for the radius, core size, circulation, and bubble dimensions of these rings.

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. Sullivan I., Niemela J.J., Hershberger R., Bolster D., Donnelly R.J.: Dynamics of thin vortex rings. J. Fluid Mech. 609, 319–347 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  2. Rayfield G.W., Reif F.: Quantized vortex rings in superfluid helium. Phys. Rev. 136, A1194–A1208 (1964)

    Article  Google Scholar 

  3. Saffman P.G.: The velocity of viscous vortex rings. Stud. Appl. Math. 49, 625–639 (1970)

    Google Scholar 

  4. Gharib M., Rambod E., Shariff K.: A universal time scale for vortex ring formation. J. Fluid Mech. 360, 121 (1988)

    Article  MathSciNet  Google Scholar 

  5. Archer P.J., Thomas T.G., Coleman G.N.: Direct numerical simulation of vortex ring evolution from the laminar to the early turbulent regime. J. Fluid Mech. 598, 201–226 (2008)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Oregon, Eugene, OR, 97403, USA

    Russell J. Donnelly

Authors
  1. Russell J. Donnelly
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Russell J. Donnelly.

Additional information

Communicated by H. Aref

Rights and permissions

Reprints and permissions

About this article

Cite this article

Donnelly, R.J. Dynamics of vortex rings in viscous fluids. Theor. Comput. Fluid Dyn. 24, 433–435 (2010). https://doi.org/10.1007/s00162-009-0134-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00162-009-0134-5

Keywords

PACS

Search

Navigation