Asymptotic behavior of turbulence statistics
Let Dss be the deviation of turbulence statistics from self-similarity. The asymptotic behavior of Dss is studied as Taylor-microscale Reynolds number Rλ approaches infinity. It is found that Dss→Dss(∞) as Rλ→∞,and Dss(∞)=C∞(ζ2-2/3)2.Here ζ2 is the ineitial-range scaling exponent of order 2, C∞ is a coefficient If ζ2>2/3, for example ζ2≈0.7 predicted by typical intermittency models of Kohnogorov 1962 theory, then Dss(∞)>0 and the self-similarity is not valid in the inertial range. If ζ2>2/3, then Dss(∞) = 0, and an asymptotic non-Gaussian self-similarity is valid in the inertial range. Therefore, the important issue of the inertial-range self-similarity, is reduced to a simpler one whether Kohnogorov 2/3 law (ζ2 = 2/3)is valid or not The issue whether Kohnogorov 2/3 law is valid or not is discussed.
J. Qian
Department of Physics, Graduate School of CAS, Beijing 100049, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
1071-1076
2007-06-11(万方平台首次上网日期,不代表论文的发表时间)