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边界层内低阶结构函数标度律的实验研究

张珂,李万平   

  1. 华中科技大学土木工程与力学学院, 湖北 武汉 430074
  • 收稿日期:2008-07-05 修回日期:1900-01-01 出版日期:2009-01-24 发布日期:2010-04-15
  • 通讯作者: 张珂

ZHANG Ke, LI Wanping   

  1. Academy of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China
  • Received:2008-07-05 Revised:1900-01-01 Online:2009-01-24 Published:2010-04-15

摘要:

利用PIV系统对平板湍流边界层在Reθ=2?167下流向(u′)和法向脉动速度(v′)进行了测量,研究结果显示,当脉动增量的结构函数的阶数为

正分数时,实验所得的标度指数和K41及SL标度指数较为接近;当结构函数的阶数为分数且由0趋向于-1时,实验的标度指数明显偏离K41和SL标度指数,出现奇异标度律。这也说明了用低阶结构函数的标度指

数也能说明标度律的奇异性及边界层内存在间歇性。

关键词: 标度指数, 标度律, 湍流边界层

Abstract:

Scaling laws in the wall region of a turbulent flow were addressed by analyzing the moments of velocity increments obtained by the particleimage velocimetry (PIV) system in

the boundary layer of a flat plate. The moments of increments of upstream velocity (u′) and longitudinal velocity (v′) were measured at Reθ=2?167 in different wall distances

and the scaling of noninteger moments of order between +2 and -1 were discussed. The difference of scaling exponents of loworder structure functions between the experimental

data and Kolmogorov’s, SL’s (She & Leveque) prediction increases as the moment order decreases toward1, which shows that the anomaly is manifested in loworder moments as

well.

Key words: scaling law, turbulent boundary layer, scaling exponent

中图分类号: 

  • O357
[1] 李新华,董守平,赵志勇,陈俊峰, . 减阻沟槽表面近壁湍流相干运动的实验研究[J]. J4, 2006, 41(2): 106-110 .
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