Log-Stable Distribution and Intermittency of Turbulence

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概要

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• The logarithm of the breakdown coefficient e,./ e, c, being the mean energy dissipa-lion rate averaged over a sphere of radius r is shown, under a similarity assumption,to o bey a stable distribution, the characteristic function of which is given by cp (( l r / l )(r/l)""' ""' """"", where ?>0 and 0<cc<2. The scaling exponent of the 7t-thorder moment of the energy dissipation rate is calculated to be p.=p(p"-p)/(2'-2),which is in excellent agreement with the experiments (Anselmet et ctl. 1984) when theintermittency parameter is p=O.2O and the characteristic exponent of the distributionis cx=I.65. The probability density function of e, diverges as l/c,( -lne,)"' at theorigin and decreases as exp [ -A (lne,)"" "], where A >0, as g-+(X). The presentresults include the log-normal theory for cx=2 and coincide with the prediction of p.due to the /7-model in the limit cx=O.

• 社団法人日本物理学会の論文
• 1991-01-15

著者

• Kida Shigeo

  Kyoto Univ. Kyoto Jpn

• Kida Shigeo

  Kyoto University

関連論文

• Excitation of polar thermal convection in a rotating spherical shell
• Log-Stable Distribution and Intermittency of Turbulence

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