边界层内低阶结构函数标度律的实验研究  

Experimental research for scaling of low-order structure function in the boundary layer

作　　者：张珂[1] 李万平[1] 

机构地区：[1]华中科技大学土木工程与力学学院,湖北武汉430074

出　　处：《山东大学学报（理学版）》2009年第1期28-32,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(10372033)

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。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.

关 键 词：标度律 湍流边界层 标度指数 

分 类 号：O357[理学—流体力学]