Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 148
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Danish, Mohammad Sinha, Sawan Suman and Srinivasan, Balaji 2016. Influence of compressibility on the Lagrangian statistics of vorticity–strain-rate interactions. Physical Review E, Vol. 94, Issue. 1,

    Pérez-Alvarado, Alejandro Mydlarski, Laurent and Gaskin, Susan 2016. Effect of the driving algorithm on the turbulence generated by a random jet array. Experiments in Fluids, Vol. 57, Issue. 2,

    Rivera, Michael K. and Ecke, Robert E. 2016. Lagrangian statistics in weakly forced two-dimensional turbulence. Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 26, Issue. 1, p. 013103.

    Shivamoggi, B.K. 2016. A generalized Brownian motion model for turbulent relative particle dispersion. Physics Letters A,

    Steele, Edward C. C. Nimmo-Smith, W. Alex M. and Vlasenko, Andrey 2016. Direct measurement of hairpin-like vortices in the bottom boundary layer of the coastal ocean. Geophysical Research Letters, Vol. 43, Issue. 3, p. 1175.

    Buaria, D. Sawford, Brian L. and Yeung, P. K. 2015. Characteristics of backward and forward two-particle relative dispersion in turbulence at different Reynolds numbers. Physics of Fluids, Vol. 27, Issue. 10, p. 105101.

    Chang, Kelken Malec, Benedict J and Shaw, Raymond A 2015. Turbulent pair dispersion in the presence of gravity. New Journal of Physics, Vol. 17, Issue. 3, p. 033010.

    Marro, Massimo Nironi, Chiara Salizzoni, Pietro and Soulhac, Lionel 2015. Dispersion of a Passive Scalar Fluctuating Plume in a Turbulent Boundary Layer. Part II: Analytical Modelling. Boundary-Layer Meteorology, Vol. 156, Issue. 3, p. 447.

    Mensa, Jean A. Özgökmen, Tamay M. Poje, Andrew C. and Imberger, Jörg 2015. Material transport in a convective surface mixed layer under weak wind forcing. Ocean Modelling, Vol. 96, p. 226.

    Nguyen, Quoc Srinivasan, Chiranth and Papavassiliou, Dimitrios V. 2015. Flow-induced separation in wall turbulence. Physical Review E, Vol. 91, Issue. 3,

    Benveniste, Damien and Drivas, Theodore D. 2014. Asymptotic results for backwards two-particle dispersion in a turbulent flow. Physical Review E, Vol. 89, Issue. 4,

    Bourgoin, Mickael Pinton, Jean-François and Volk, Romain 2014. Modeling Atmospheric and Oceanic Flows.

    Chatwin, Philip and Sullivan, Paul 2014. Wiley StatsRef: Statistics Reference Online.

    Mazzitelli, I. M. Fornarelli, F. Lanotte, A. S. and Oresta, P. 2014. Pair and multi-particle dispersion in numerical simulations of convective boundary layer turbulence. Physics of Fluids, Vol. 26, Issue. 5, p. 055110.

    Mazzitelli, Irene M. Toschi, Federico and Lanotte, Alessandra S. 2014. An accurate and efficient Lagrangian sub-grid model. Physics of Fluids, Vol. 26, Issue. 9, p. 095101.

    Vanderwel, Christina and Tavoularis, Stavros 2014. Relative dispersion of a passive scalar plume in turbulent shear flow. Physical Review E, Vol. 89, Issue. 4,

    Bitane, Rehab Homann, Holger and Bec, Jérémie 2013. Geometry and violent events in turbulent pair dispersion. Journal of Turbulence, Vol. 14, Issue. 2, p. 23.

    Eyink, Gregory L. and Benveniste, Damien 2013. Diffusion approximation in turbulent two-particle dispersion. Physical Review E, Vol. 88, Issue. 4,

    Falkovich, Gregory and Frishman, Anna 2013. Single Flow Snapshot Reveals the Future and the Past of Pairs of Particles in Turbulence. Physical Review Letters, Vol. 110, Issue. 21,

    Ni, Rui and Xia, Ke-Qing 2013. Experimental investigation of pair dispersion with small initial separation in convective turbulent flows. Physical Review E, Vol. 87, Issue. 6,

  • Journal of Fluid Mechanics, Volume 422
  • November 2000, pp. 207-223

An experimental investigation of the relative diffusion of particle pairs in three-dimensional turbulent flow

  • SØREN OTT (a1) and JAKOB MANN (a1)
  • DOI:
  • Published online: 01 November 2000

The particle tracking (PT) technique is used to study turbulent diffusion of particle pairs in a three-dimensional turbulent flow generated by two oscillating grids. The experimental data show a range where the Richardson–Obukhov law 〈r2〉 = Cεt3 is satisfied, and the Richardson–Obukhov constant is found to be C = 0.5. A number of models predict much larger values. Furthermore, the distance–neighbour function is studied in detail in order to determine its general shape. The results are compared with the predictions of three models: Richardson (1926), Batchelor (1952) and Kraichnan (1966a). These three models predict different behaviours of the distance–neighbour function, and of the three, only Richardson's model is found to be consistent with the measurements. We have corrected a minor error in Kraichnan's (1996a) Lagrangian history direct interaction calculations with the result that we had to increase his theoretical value from C = 2.42 to C = 5.5.

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? *