Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 37
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Meldi, M. 2016. The signature of initial production mechanisms in isotropic turbulence decay. Physics of Fluids, Vol. 28, Issue. 3, p. 035105.

    Zhao, F. George, W. K. and van Wachem, B. G. M. 2015. Four-way coupled simulations of small particles in turbulent channel flow: The effects of particle shape and Stokes number. Physics of Fluids, Vol. 27, Issue. 8, p. 083301.

    Antonia, R. A. Djenidi, L. and Danaila, L. 2014. Collapse of the turbulent dissipative range on Kolmogorov scales. Physics of Fluids, Vol. 26, Issue. 4, p. 045105.

    2014. Transport and Coherent Structures in Wall Turbulence.

    Hearst, R. J. Buxton, O. R. H. Ganapathisubramani, B. and Lavoie, P. 2012. Experimental estimation of fluctuating velocity and scalar gradients in turbulence. Experiments in Fluids, Vol. 53, Issue. 4, p. 925.

    Abe, Hiroyuki and Antonia, Robert Anthony 2011. Scaling of normalized mean energy and scalar dissipation rates in a turbulent channel flow. Physics of Fluids, Vol. 23, Issue. 5, p. 055104.

    Antonia, Robert A. Lavoie, P. Djenidi, L. and Benaissa, A. 2010. Effect of a small axisymmetric contraction on grid turbulence. Experiments in Fluids, Vol. 49, Issue. 1, p. 3.

    Boeck, Thomas Krasnov, Dmitry and Schumacher, Jörg 2010. Statistics of velocity gradients in wall-bounded shear flow turbulence. Physica D: Nonlinear Phenomena, Vol. 239, Issue. 14, p. 1258.

    Marlatt, Stuart Waggy, Scottr and Biringen, Sedat 2010. 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition.

    Martlatt, Stuart W. Waggy, Scott B. and Biringen, Sedat 2010. Direct Numerical Simulation of the Turbulent Ekman Layer: Turbulent Energy Budgets. Journal of Thermophysics and Heat Transfer, Vol. 24, Issue. 3, p. 544.

    Mi, J. and Antonia, R. A. 2010. Approach to local axisymmetry in a turbulent cylinder wake. Experiments in Fluids, Vol. 48, Issue. 6, p. 933.

    Singha, A. 2010. Small-scale isotropy of orificed, perforated plate turbulence. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 224, Issue. 4, p. 889.

    Wallace, James M. 2009. Twenty years of experimental and direct numerical simulation access to the velocity gradient tensor: What have we learned about turbulence?. Physics of Fluids, Vol. 21, Issue. 2, p. 021301.

    Hao, Z. Zhou, T. Chua, L.P. and Yu, S.C.M. 2008. Approximations to energy and temperature dissipation rates in the far field of a cylinder wake. Experimental Thermal and Fluid Science, Vol. 32, Issue. 3, p. 791.

    Wallace, James M. and Ong, Lawrence 2008. Local isotropy of the velocity and vorticity fields in a boundary layer at high Reynolds numbers. Physics of Fluids, Vol. 20, Issue. 10, p. 101506.

    Lavoie, P. Avallone, G. De Gregorio, F. Romano, G. P. and Antonia, R. A. 2007. Spatial resolution of PIV for the measurement of turbulence. Experiments in Fluids, Vol. 43, Issue. 1, p. 39.

    Antonia, RA and Orlandi, P 2003. Effect of Schmidt number on small-scale passive scalar turbulence. Applied Mechanics Reviews, Vol. 56, Issue. 6, p. 615.

    Tsuji, Yoshiyuki and Ishihara, Takashi 2003. Similarity scaling of pressure fluctuation in turbulence. Physical Review E, Vol. 68, Issue. 2,

    Tsuji, Yoshiyuki 2003. Large-scale anisotropy effect on small-scale statistics over rough wall turbulent boundary layers. Physics of Fluids, Vol. 15, Issue. 12, p. 3816.

    Antonia, R A and Krogstad, P-Å 2001. Turbulence structure in boundary layers over different types of surface roughness. Fluid Dynamics Research, Vol. 28, Issue. 2, p. 139.

  • Journal of Fluid Mechanics, Volume 251
  • June 1993, pp. 219-238

Isotropy of the small scales of turbulence at low Reynolds number

  • J. Kim (a1) and R. A. Antonia (a2)
  • DOI:
  • Published online: 01 April 2006

Spectral local isotropy tests are applied to direct numerical simulation data, mainly at the centreline of a fully developed turbulent channel flow. Despite the small Reynolds number of the simulation, the high-wavenumber behaviour of velocity and vorticity spectra is consistent with local isotropy. This consistency is verified by the relationship between streamwise wavenumber spectra and spanwise wavenumber spectra. The high-wavenumber behaviour of the pressure spectrum is also consistent with local isotropy and compares favourably with the calculation of Batchelor (1951), which assumes isotropy and joint normality of the velocity field at two points in space. The latter assumption is validated by the shape but not the magnitude of the quadruple correlation of the streamwise velocity fluctuation at small separations. There is only partial support for local spectral isotropy away from the centreline as the magnitude of the mean strain rate increases.

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? *