Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 28
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Gamba, M Clemens, N T and Ezekoye, O A 2013. Volumetric PIV and 2D OH PLIF imaging in the far-field of a low Reynolds number nonpremixed jet flame. Measurement Science and Technology, Vol. 24, Issue. 2, p. 024003.

    Mi, J. Xu, M. and Zhou, T. 2013. Reynolds number influence on statistical behaviors of turbulence in a circular free jet. Physics of Fluids, Vol. 25, Issue. 7, p. 075101.

    Sadeghi, H. and Pollard, A. 2012. Effects of passive control rings positioned in the shear layer and potential core of a turbulent round jet. Physics of Fluids, Vol. 24, Issue. 11, p. 115103.

    Mi, J Xu, M and Du, C 2011. Digital filter for hot-wire measurements of small-scale turbulence properties. Measurement Science and Technology, Vol. 22, Issue. 12, p. 125401.

    Horst, T. W. and Lenschow, D. H. 2009. Attenuation of Scalar Fluxes Measured with Spatially-displaced Sensors. Boundary-Layer Meteorology, Vol. 130, Issue. 2, p. 275.

    Ganapathisubramani, B. Lakshminarasimhan, K. and Clemens, N. T. 2007. Determination of complete velocity gradient tensor by using cinematographic stereoscopic PIV in a turbulent jet. Experiments in Fluids, Vol. 42, Issue. 6, p. 923.

    Sreenivasan, K. R. 2006. Reply to “Comment on ‘Intermittency exponent of the turbulent energy cascade’ ”. Physical Review E, Vol. 73, Issue. 6,

    Jung, Sunghwan and Swinney, Harry L. 2005. Velocity difference statistics in turbulence. Physical Review E, Vol. 72, Issue. 2,

    Antonia, R. A. Zhou, T. and Xu, G. 2000. Second-order temperature and velocity structure functions: Reynolds number dependence. Physics of Fluids, Vol. 12, Issue. 6, p. 1509.

    Kahalerras, H. Malécot, Y. Gagne, Y. and Castaing, B. 1998. Intermittency and Reynolds number. Physics of Fluids, Vol. 10, Issue. 4, p. 910.

    Dahm, Werner J. A. and Southerland, Kenneth B. 1997. Experimental assessment of Taylor’s hypothesis and its applicability to dissipation estimates in turbulent flows. Physics of Fluids, Vol. 9, Issue. 7, p. 2101.

    Gledzer, E. 1997. On the Taylor hypothesis corrections for measured energy spectra of turbulence. Physica D: Nonlinear Phenomena, Vol. 104, Issue. 2, p. 163.

    Hill, R.J. 1996. Corrections to Taylor's frozen turbulence approximation. Atmospheric Research, Vol. 40, Issue. 2-4, p. 153.

    Tong, Chenning 1996. Taylor’s hypothesis and two-point coherence measurements. Boundary-Layer Meteorology, Vol. 81, Issue. 3-4, p. 399.

    Molenaar, Jaap Herweijer, Janine and van de Water, Willem 1995. Negative dimensions of the turbulent dissipation field. Physical Review E, Vol. 52, Issue. 1, p. 496.

    Mi, J. and Antonia, R. A. 1994. Corrections to Taylor’s hypothesis in a turbulent circular jet. Physics of Fluids, Vol. 6, Issue. 4, p. 1548.

    CATALANO, G. D. MATHIS, J.A. and CHANG, K. S. 1991. Higher-order statistics of a turbulent jet in a confined crossflow. AIAA Journal, Vol. 29, Issue. 12, p. 2124.

    Water, W. Van De Vorst, B. Van Der and Wetering, E. Van De 1991. Multiscaling of Turbulent Structure Functions. Europhysics Letters (EPL), Vol. 16, Issue. 5, p. 443.

    Meneveau, C. and Sreenivasan, K.R. 1987. The multifractal spectrum of the dissipation field in turbulent flows. Nuclear Physics B - Proceedings Supplements, Vol. 2, p. 49.

    Antonia, R. A. Anselmet, F. and Chambers, A. J. 1986. Assessment of local isotropy using measurements in a turbulent plane jet. Journal of Fluid Mechanics, Vol. 163, Issue. -1, p. 365.


Taylor's hypothesis and the probability density functions of temporal velocity and temperature derivatives in a turbulent flow

  • R. A. Antonia (a1), N. Phan-Thien (a1) and A. J. Chambers (a1)
  • DOI:
  • Published online: 01 April 2006

Equations for the instantaneous velocity and temperature fluctuations in a turbulent flow are used to assess the effect of a fluctuating convection velocity on Taylor's hypothesis when certain simplifying assumptions are made. The probability density function of the velocity or temperature derivative is calculated, with an assumed Gaussian probability density function of the spatial derivative, for two cases of the fluctuating convection velocity. In the first case, the convection velocity is the instantaneous longitudinal velocity, assumed to be Gaussian. In the second, the magnitude of the convection velocity is equal to that of the total velocity vector whose components are Gaussian. The calculated probability density function shows a significant departure, in both cases, from the Gaussian distribution for relatively large amplitudes of the derivative, at only moderate values of the turbulence intensity level. The fluctuating convection velocity affects normalized moments of measured velocity and temperature derivatives in the atmospheric surface layer. The effect increases with increasing order of the moment and is more significant for odd-order moments than even-order moments.

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? *