Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 8
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Meunier, Patrice 2012. Stratified wake of a tilted cylinder. Part 2. Lee internal waves. Journal of Fluid Mechanics, Vol. 699, p. 198.


    Riedinger, Xavier Meunier, Patrice and Le Dizès, Stéphane 2010. Instability of a vertical columnar vortex in a stratified fluid. Experiments in Fluids, Vol. 49, Issue. 3, p. 673.


    Meunier, Patrice 2012. Stratified wake of a tilted cylinder. Part 1. Suppression of a von Kármán vortex street. Journal of Fluid Mechanics, Vol. 699, p. 174.


    RIEDINGER, XAVIER LE DIZÈS, STÉPHANE and MEUNIER, PATRICE 2011. Radiative instability of the flow around a rotating cylinder in a stratified fluid. Journal of Fluid Mechanics, Vol. 672, p. 130.


    BILLANT, P. DELONCLE, A. CHOMAZ, J.-M. and OTHEGUY, P. 2010. Zigzag instability of vortex pairs in stratified and rotating fluids. Part 2. Analytical and numerical analyses.. Journal of Fluid Mechanics, Vol. 660, p. 396.


    RIEDINGER, XAVIER LE DIZÈS, STÉPHANE and MEUNIER, PATRICE 2010. Viscous stability properties of a Lamb–Oseen vortex in a stratified fluid. Journal of Fluid Mechanics, Vol. 645, p. 255.


    Passaggia, Pierre-Yves Meunier, Patrice and Le Dizès, Stéphane 2014. Response of a stratified boundary layer on a tilted wall to surface undulations. Journal of Fluid Mechanics, Vol. 751, p. 663.


    Ohya, Yuji Uchida, Takanori and Nagai, Tomoyuki 2013. Near Wake of a Horizontal Circular Cylinder in Stably Stratified Flows. Open Journal of Fluid Dynamics, Vol. 03, Issue. 04, p. 311.


    ×
  • Journal of Fluid Mechanics, Volume 596
  • January 2008, pp. 1-20

Tilt-induced instability of a stratified vortex

  • NICOLAS BOULANGER (a1), PATRICE MEUNIER (a1) and STÉPHANE LE DIZÈS (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112007009263
  • Published online: 25 January 2008
Abstract

This experimental and theoretical study considers the dynamics and the instability of a Lamb–Oseen vortex in a stably stratified fluid. In a companion paper, it was shown that tilting the vortex axis with respect to the direction of stratification induces the formation of a rim of strong axial flow near a critical radius when the Froude number of the vortex is larger than one.

Here, we demonstrate that this tilt-induced flow is responsible for a three-dimensional instability. We show that the instability results from a shear instability of the basic axial flow in the critical-layer region. The theoretical predictions for the wavelength and the growth rate obtained by a local stability analysis of the theoretical critical-layer profile are compared to experimental measurements and a good agreement is observed. The late stages of the instability are also analysed experimentally. In particular, we show that the tilt-induced instability does not lead to the destruction of the vortex, but to a sudden decrease of its Froude number, through the turbulent diffusion of its core size, when the initial Froude number is close to 1. A movie is available with the online version of the paper.

Copyright
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.



S. C. Crow 1970 Stability theory for a pair of trailing vortices. AIAA J. 8, 21722179.

D. Farmer , R. Pawlowicz & R. Jiang 2002 Tilting separation flows: a mechanism for intense vertical mixing in the coastal ocean. Dyn. Atmos. Oceans 36, 4358.

E. J. Hopfinger & G. J. F. van Heijst 1993 Vortices in rotating fluids. Annu. Rev. Fluid Mech. 25, 241289.

R. R. Kerswell 2002 Elliptical instability. Annu. Rev. Fluid Mech. 34, 83113.

P. Meunier & T. Leweke 2003 Analysis and optimization of the error caused by high velocity gradients in particle image velocimetry. Exps. Fluids 35, 408421.

P. J. Nieman , M. A. Shapiro & L. S. Fedor 1993 The life cycle of an extratropical marine cyclone. Part ii: mesoscale structure and diagnostics. Mon. Weather Rev. 121, 21772199.

G. Pawlak , P. MacCready , K. A. Edwards & R. McCabe 2003 Observations on the evolution of tidal vorticity at a stratified deep water headland. Geophys. Res. Lett. 30 (24), 2234.

S. M. Polavarapu & W. R. Peltier 1993 Formation of small-scale cyclones in numerical simulations of synoptic-scale baroclinic wave life cycles: secondary instability at the cusp. J. Atmos. Sci. 50, 10471057.

D. A. Schecter , M. T. Montgomery & P. D. Reasor 2002 A theory for the vertical alignment of a quasigeostrophic vortex. J. Atmos Sci. 59 (2), 150168.

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? *
×
MathJax

Keywords: