Zhou T, Hao Z, Chua L P, Yu S C M
School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jun;71(6 Pt 2):066307. doi: 10.1103/PhysRevE.71.066307. Epub 2005 Jun 21.
Longitudinal and transverse velocity increments are measured both temporally and spatially using two X-wire probes in the intermediate region of a cylinder wake over Taylor microscale Reynolds numbers in the range of 100-300. The scaling exponents of both the spatial and temporal longitudinal velocity increments agree favorably with the predictions of Kolmogorov and She and Leveque. The scaling exponents of the transverse velocity increments are considerably smaller than those of the longitudinal ones, with the values for spatial transverse velocity increments being slightly larger than the temporal ones. The difference between the scaling exponents of the longitudinal and transverse velocity increments is examined against the refined similarity hypotheses for transverse velocity increments (RSHT) proposed by Chen It is found that the RSHT can account for the difference between the scaling exponents of the longitudinal and spatial transverse velocity increments at all Reynolds numbers considered.
在泰勒微尺度雷诺数范围为100 - 300的圆柱尾流中间区域，使用两个X型热线探头在时间和空间上测量纵向和横向速度增量。空间和时间纵向速度增量的标度指数与柯尔莫哥洛夫以及She和勒维克的预测结果吻合良好。横向速度增量的标度指数明显小于纵向速度增量的标度指数，空间横向速度增量的值略大于时间横向速度增量的值。根据Chen提出的横向速度增量精细相似性假设（RSHT），研究了纵向和横向速度增量标度指数之间的差异。结果发现，在所有考虑的雷诺数下，RSHT都能解释纵向和空间横向速度增量标度指数之间的差异。
