Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 2
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Susan-Resiga, R.F. Muntean, S. Stuparu, A. Bosioc, A.I. Tănasă, C. and Ighişan, C. 2016. A variational model for swirling flow states with stagnant region. European Journal of Mechanics - B/Fluids, Vol. 55, p. 104.

    Danaila, Ionut and Protas, Bartosz 2015. Optimal reconstruction of inviscid vortices. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, Vol. 471, Issue. 2180, p. 20150323.

  • Journal of Fluid Mechanics, Volume 613
  • October 2008, pp. 395-410

Steady axisymmetric vortex flows with swirl and shear

  • DOI:
  • Published online: 25 October 2008

A general procedure is presented for computing axisymmetric swirling vortices which are steady with respect to an inviscid flow that is either uniform at infinity or includes shear. We consider cases both with and without a spherical obstacle. Choices of numerical parameters are given which yield vortex rings with swirl, attached vortices with swirl analogous to spherical vortices found by Moffatt, tubes of vorticity extending to infinity and Beltrami flows. When there is a spherical obstacle we have found multiple solutions for each set of parameters. Flows are found by numerically solving the Bragg–Hawthorne equation using a non-Newton-based iterative procedure which is robust in its dependence on an initial guess.

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

C. J. Amick & L. E. Fraenkel 1988 The uniqueness of a family of steady vortex rings. Rat. Mech. Anal. 100, 207241.

A. Elcrat , B. Fornberg & K. Miller 2001 Some steady axisymmetric vortex flows past a sphere. J. Fluid Mech. 433, 315328.

Y. Fukumoto 2002 Higher-order asymptotic theory for the velocity field induced by an inviscid vortex ring. Fluid Dyn. Res. 30, 6592.

A. Lifschitz , W. H. Suters & J. T. Beale 1996 The onset of instability in exact vortex rings with swirl. J. Comput. Phys. 129, 829.

K. Mohseni & M. Gharib 1998 A model for universal time scale of vortex ring formation. Phys. Fluids 10, 24362438.

A. Rubel 1986 Axisymmetric shear flow over spheres and spheroids. AIAA J. 24, 630634.

B. Turkington 1989 Vortex rings with swirl: axisymmetric solutions of the Euler equations with nonzero helicity. SIAM J. Math Anal. 20, 5773.

J.-Z. Wu , H.-Y. Ma & M.-D. Zhou 2006 Vorticity and Vortex Dynamics. Springer.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *