UNIVERSAL SCALING LAWS IN FULLY-DEVELOPED TURBULENCE
UNIVERSAL SCALING LAWS IN FULLY-DEVELOPED TURBULENCE
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DOI：
10.1103/physrevlett.72.336
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发表时间：
1994-01-17
影响因子：
8.6
通讯作者：
LEVEQUE, E
中科院分区：
文献类型：
--
作者：
SHE, ZS;LEVEQUE, E
本文用能量耗散场的一系列力矩比在惯性范围尺度上粗粒化的L描述了充分发展的湍流的惯性范围标度律，这些力矩比epsilon(L)(P)=[epsilon(L)p](p=0，1，2，…，)形成了一个层次结构。假设最奇异的结构epsilon(L)(无穷)为细丝，并论证了epsilon(L)无穷大近似为L-2/3。此外，还假设了连续结构的标度之间的普适关系，从而得到了整个标度指数集的预测：[Epsilon(L)p]约L(Tau)p，tau(P)=-2/3p+2[1-(2/3)p]和[deltav(L)p]约L(Zetap)，Zeta(P)=p/9+2[1-(2/3)p/3]。
The inertial-range scaling laws of fully developed turbulence are described in terms of scalings of a sequence of moment ratios of the energy dissipation field epsilon(l) coarse grained at inertial-range scale l. These moment ratios epsilon(l)(p) = [epsilon(l)p] (p = 0, 1, 2,...,) form a hierarchy of structures. The most singular structures epsilon(l)(infinity) are assumed to be filaments, and it is argued that epsilon(l)infinity approximately l-2/3. Furthermore, a universal relation between scalings of successive structures is postulated, which leads to a prediction of the entire set of the scaling exponents: [epsilon(l)p] approximately l(tau)p, tau(p) = -2/3p + 2[1 - (2/3)p] and [deltav(l)p] approximately l(zetap), zeta(p) = p/9 + 2[1 - (2/3)p/3].