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 |
DOI | 10.1080/14685240600604412 |
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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