Similarity of intermittency characteristics of temperature and transverse velocity

G. Xu, Tongming Zhou, S. Rajagopalan

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    The intermittency characteristics of the longitudinal (u) and transverse (v) velocity and temperature (θ) at similar Taylor microscale Reynolds numbers have been compared in a turbulent round jet. We examine the scaling exponents ζα(n) (α=u, v, and θ) of structure functions ⟨(δα)⟩n, the intermittency exponents μα based on individual and mixed sixth-order structure functions, the scaling exponents τα(n) of the locally averaged energy and temperature dissipation rates approximated by (∂α∕∂x)2, the flatness factors of the derivatives ∂α∕∂x, and the probability density functions (PDFs) of ∂α∕∂x, the increment δα and (∂α∕∂x)2. It is found that v and θ are similar in terms of their intermittency characteristics. They are more intermittent than u. The scaling exponent ζv(n) is marginally larger than ζθ(n). The intermittency exponent μθ is smaller than μv based on the estimate of mixed sixth-order structure functions, while μθ is nearly equal to μv based on the estimate of individual sixth-order structure functions. The temperature dissipation rate is more intermittent than the turbulent energy dissipation rate, as indicated by τα(n). The flatness factor of ∂θ∕∂x is marginally larger than that of ∂v∕∂x. The PDFs of ∂θ∕∂x, δθ, and (∂θ∕∂x)2 show the strongest departure from the Gaussian distribution.
    Original languageEnglish
    Pages (from-to)Article number 046302
    JournalPhysical Review E
    Issue number4
    Publication statusPublished - 2007


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