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On the correlation between enstrophy and energy dissipation rate in a turbulent wake

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Abstract

All three components of the vorticity fluctuation have been measured simultaneously in a turbulent wake using a new eight-sensor vorticity probe. The vorticity fluctuation spectra agree reasonably well with those from a direct numerical simulation of a turbulent channel flow at high wavenumbers. The similarity between the instantaneous energy dissipation rate ε and the instantaneous enstrophy ω2 is examined using spectra and probability density functions. The correlation between ω2 and ε is evaluated in some detail. The homogeneous value of ε is strongly correlated with ω2. The full value of ε and, more especially its isotropic value, are less well correlated with the enstrophy. Conditional averaging indicates that high enstrophy regions are associated with high energy dissipation rate regions.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Newcastle, 2308, N.S.W., Australia

    Y. Zhu & R. A. Antonia

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  1. Y. Zhu
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  2. R. A. Antonia
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Zhu, Y., Antonia, R.A. On the correlation between enstrophy and energy dissipation rate in a turbulent wake. Appl. Sci. Res. 57, 337–347 (1996). https://doi.org/10.1007/BF02506068

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  • DOI: https://doi.org/10.1007/BF02506068

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