Asymptotic behavior of the q-th order intermittency exponent in fully developed turbulence

By making use of the Novikov and Hölder inequalities, it is proved that the leading asymptotic form of the q-th order intermittency exponent τ(q) in fully developed turbulence linearly depends on q for positive, large q values. Furthermore, by evaluating the next order contribution of the intermitte...

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Bibliographic Details
Published in:Journal of the Physical Society of Japan 2000-06, Vol.69 (6), p.1672-1675
Main Authors: WATANABE, T, FUJISAKA, H
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Isotropic turbulence
homogeneous turbulence
Physics
Turbulent flows, convection, and heat transfer
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Summary:By making use of the Novikov and Hölder inequalities, it is proved that the leading asymptotic form of the q-th order intermittency exponent τ(q) in fully developed turbulence linearly depends on q for positive, large q values. Furthermore, by evaluating the next order contribution of the intermittency effect to moment functions of energy dissipation fluctuation, the correction to the above asymptotic form is derived, which turns out to be an exponential function of q. These results are discussed in comparison with phenomenological cascade models of intermittency so far proposed.
ISSN:0031-9015
1347-4073
DOI:10.1143/JPSJ.69.1672