179
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Turbulent vortex rings in weakly turbulent and in turbulent ambient flow

Pages 1179-1198 | Received 20 May 2016, Accepted 13 Sep 2016, Published online: 31 Oct 2016

References

  • Eames I, Johnson PB, Roig V, et al. Effect of turbulence on the downstream velocity deficit of a rigid sphere. Phys Fluids. 2011;23:095103.
  • Eames I, Jonnson C, Johnson PB. The growth of a cylinder wake in turbulent flow. J Turbul. 2011;12:1–16.
  • Legendre D, Merle A, Magnaudet J. Wake of a spherical bubble or a solid sphere set fixed in a turbulent environment. Phys Fluids. 2006;18:048102.
  • Fukumoto Y, Moffatt M. Motion and expansion of a viscous vortex ring. Part 1. A higher-order asymptotic formula for the velocity. J Fluid Mech. 2000;417:1–45.
  • Spalart PR. Airplane trailing vortices. Ann Rev Fluid Mech. 1998;30:107–138.
  • Greene GC. An approximate model of vortex decay in the atmosphere. J Aircr. 1986;23:566–573.
  • Holzapfel F. Probabilistic two-phase wake vortex decay and transport model. J Aircr. 2003;40:323–331.
  • Voropayev SI, Fernando HJS, Morrison R. Dipolar eddies in a decaying stratified turbulent flow. Phys Fluids. 2008;20:026602. DOI:10.1063/1.2842377.
  • Maxworthy T. Some experimental studies of vortex rings. J Fluid Mech. 1977;81:465–495.
  • Arnold O, Eames I, Klettner C. Vortex rings moving into turbulence. J Turbul. 2013;14(1):190–202.
  • Arnold O. Vortex rings in weakly turbulent and in turbulent ambient flow (wirbelringe in turbulenzarmer und turbulenter umgebung) [PhD thesis]. Karlsruhe (Germany): University of Karlsruhe; 1977.
  • Okabe J, Inoue S. The generation of vortex rings. Reports of Research Institute for Applied Mechanics. Kyushu (Japan): Kyushu University; 1961.
  • Albring W. Wirbelsysteme und turbulenz [Vortex Systems and Turbulence]. Monatsberichte der Deutschen Akademie der Wiss. 1968;10:984.
  • Widmayer RS. A study of the motion of laminar and turbulent viscous vortex rings [dissertation]. Maryland: University of Maryland; 1972.
  • Wieghardt K. Theoretical fluid mechanics. Stuttgart (Germany): B. G. Teubner Publishing House; 1965.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.