Log-Stable Distribution and Intermittency of Turbulence
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- Kida Shigeo
- Research Institute for Mathematical Sciences, Kyoto University
Bibliographic Information
- Other Title
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- Log Stable Distribution and Intermitten
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Abstract
The logarithm of the breakdown coefficient εr⁄εl, εr being the mean energy dissipation rate averaged over a sphere of radius r is shown, under a similarity assumption, to obey a stable distribution, the characteristic function of which is given by \varphi(z|r⁄l)=(r⁄l)(μ⁄2<SUP>α−2)[iz−(zeiπ⁄2)α]</SUP>, where μ>0 and 0<α≤2. The scaling exponent of the p-th order moment of the energy dissipation rate is calculated to be μp=μ(pα−p)⁄(2α−2), which is in excellent agreement with the experiments (Anselmet et al. 1984) when the intermittency parameter is μ=0.20 and the characteristic exponent of the distribution is α=1.65. The probability density function of εr diverges as 1/εr(−ln εr)α+1 at the origin and decreases as exp [−A(ln εr)α⁄(α−1)], where A>0, as ε→∞. The present results include the log-normal theory for α=2 and coincide with the prediction of μp due to the β-model in the limit α→0.
Journal
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 60 (1), 5-8, 1991
THE PHYSICAL SOCIETY OF JAPAN
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Details 詳細情報について
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- CRID
- 1390001204177059200
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- NII Article ID
- 210000096511
- 110001968997
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- NII Book ID
- AA00704814
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- BIBCODE
- 1991JPSJ...60....5K
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- ISSN
- 13474073
- 00319015
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- NDL BIB ID
- 3700797
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed