Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 32
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    de Rivas, A. and Villermaux, E. 2016. Dense spray evaporation as a mixing process. Physical Review Fluids, Vol. 1, Issue. 1,

    Bell, Allison F. and Crimaldi, John P. 2015. Effect of steady and unsteady flow on chemoattractant plume formation and sperm taxis. Journal of Marine Systems, Vol. 148, p. 236.

    García de la Cruz, J. M. Rossi, L. and Vassilicos, J. C. 2015. Experimental evidence of the scalar spiral range in vortical flows. Experiments in Fluids, Vol. 56, Issue. 1,

    Vatistas, Georgios H. Panagiotakakos, Georgios D. and Manikis, Fani I. 2015. Extension of the n-Vortex Model to Approximate the Effects of Turbulence. Journal of Aircraft, Vol. 52, Issue. 5, p. 1721.

    Crimaldi, John P. and Zimmer, Richard K. 2014. The Physics of Broadcast Spawning in Benthic Invertebrates. Annual Review of Marine Science, Vol. 6, Issue. 1, p. 141.

    Figueroa, Aldo Meunier, Patrice Cuevas, Sergio Villermaux, Emmanuel and Ramos, Eduardo 2014. Chaotic advection at large Péclet number: Electromagnetically driven experiments, numerical simulations, and theoretical predictions. Physics of Fluids, Vol. 26, Issue. 1, p. 013601.

    Han, Hyejin Furst, Eric M. and Kim, Chongyoup 2014. Lagrangian analysis of consecutive images: Quantification of mixing processes in drops moving in a microchannel. Rheologica Acta, Vol. 53, Issue. 7, p. 489.

    Ozhan, Cansu Fuster, Daniel and Da Costa, Patrick 2014. Multi-scale flow simulation of automotive catalytic converters. Chemical Engineering Science, Vol. 116, p. 161.

    Crimaldi, John P. and Kawakami, Tanaya R. 2013. Reaction of initially distant scalars in a cylinder wake. Physics of Fluids, Vol. 25, Issue. 5, p. 053604.

    Falk, Laurent and Commenge, Jean-Marc 2013. Micro Process Engineering.

    Giona, M. Anderson, P. D. and Garofalo, F. 2013. Short-time behavior of advecting-diffusing scalar fields in Stokes flows. Physical Review E, Vol. 87, Issue. 6,

    Le Borgne, Tanguy Dentz, Marco and Villermaux, Emmanuel 2013. Stretching, Coalescence, and Mixing in Porous Media. Physical Review Letters, Vol. 110, Issue. 20,

    Enjalbert, N. Domingo, P. and Vervisch, L. 2012. Mixing time-history effects in Large Eddy Simulation of non-premixed turbulent flames: Flow-Controlled Chemistry Tabulation. Combustion and Flame, Vol. 159, Issue. 1, p. 336.

    Lodier, Guillaume Merlin, Cindy Domingo, Pascale Vervisch, Luc and Ravet, Frédéric 2012. Self-ignition scenarios after rapid compression of a turbulent mixture weakly-stratified in temperature. Combustion and Flame, Vol. 159, Issue. 11, p. 3358.

    Villermaux, Emmanuel 2012. Mixing by porous media. Comptes Rendus Mécanique, Vol. 340, Issue. 11-12, p. 933.

    Duplat, J. Innocenti, C. and Villermaux, E. 2010. A nonsequential turbulent mixing process. Physics of Fluids, Vol. 22, Issue. 3, p. 035104.

    Bouremel, Y. Yianneskis, M. and Ducci, A. 2009. On the utilisation of vorticity and strain dynamics for improved analysis of stirred processes. Chemical Engineering Research and Design, Vol. 87, Issue. 4, p. 377.

    Crimaldi, John P. Cadwell, Jillian R. and Weiss, Jeffrey B. 2008. Reaction enhancement of isolated scalars by vortex stirring. Physics of Fluids, Vol. 20, Issue. 7, p. 073605.

    Vatistas, G H Ait Abderrahmane, H and Siddiqui, K 2008. The dynamic similarity between polygonal satellite vortices and electron columns in a Malmberg–Penning trap. Plasma Physics and Controlled Fusion, Vol. 50, Issue. 12, p. 124047.

    Villermaux, E. Stroock, A. D. and Stone, H. A. 2008. Bridging kinematics and concentration content in a chaotic micromixer. Physical Review E, Vol. 77, Issue. 1,

  • Journal of Fluid Mechanics, Volume 476
  • February 2003, pp. 213-222

How vortices mix

  • P. MEUNIER (a1) and E. VILLERMAUX (a1)
  • DOI:
  • Published online: 01 March 2003

The advection of a passive scalar blob in the deformation field of an axisymmetric vortex is a simple mixing protocol for which the advection–diffusion problem is amenable to a near-exact description. The blob rolls up in a spiral which ultimately fades away in the diluting medium. The complete transient concentration field in the spiral is accessible from the Fourier equations in a properly chosen frame. The concentration histogram of the scalar wrapped in the spiral presents unexpected singular transient features and its long time properties are discussed in connection with real mixtures.

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? *