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Non-gaussian statistical model of turbulence
Qian, J
刊名Journal of turbulence
2006
卷号7期号:24页码:1-10
ISSN号1468-5248
DOI10.1080/14685240600604412
通讯作者Qian, j()
英文摘要We study probability density function (pdf) p(x vertical bar r) in turbulence, x = vertical bar delta u(r)vertical bar/< delta u(r)(2) > (1/2), where delta u(r) is the longitudinal velocity increment across a distance r, <> means a statistical average. dns and experimental data of p(x vertical bar r) published recently support the non-gaussian pdf model proposed in earlier papers ( qian 1998, 2000). the non-gaussian pdf model implies the quasi-closure of turbulence statistics: higher-order statistical moments ( for example, structure functions) can be derived from few lower-order moments. it is shown that experimental data of structure functions confirm the quasi-closure. by kolmogorov's 4/5 law, the (approximate) scaling range eta << r << l at the experimental reynolds number is not the same as kolmogorov's inertial range, here. is kolmogorov's scale, and l is the large scale. hence it is expected that the scaling exponents xi(p) of pth order structure function observed in experiments, may deviate from the real inertial-range scaling exponents zeta(p). by applying the non-gaussian pdf model, we confirm this expectation, and obtain xi(2) > zeta(2) and xi(p) < zeta(p) if p > 3.
WOS关键词VELOCITY STRUCTURE FUNCTIONS ; REYNOLDS-NUMBER ; PROBABILITY DENSITY ; SKEWNESS ; FLOWS
WOS研究方向Mechanics ; Physics
WOS类目Mechanics ; Physics, Fluids & Plasmas
语种英语
出版者TAYLOR & FRANCIS LTD
WOS记录号WOS:000236390400001
内容类型期刊论文
URI标识http://www.corc.org.cn/handle/1471x/2378572
专题中国科学院大学
通讯作者Qian, J
作者单位CAS, Grad Sch, Dept Phys, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714
Qian, J. Non-gaussian statistical model of turbulence[J]. Journal of turbulence,2006,7(24):1-10.
APA Qian, J.(2006).Non-gaussian statistical model of turbulence.Journal of turbulence,7(24),1-10.
MLA Qian, J."Non-gaussian statistical model of turbulence".Journal of turbulence 7.24(2006):1-10.
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