Xu Haitao, Ouellette Nicholas T, Vincenzi Dario, Bodenschatz Eberhard
International Collaboration for Turbulence Research, Göttingen, Germany.
Phys Rev Lett. 2007 Nov 16;99(20):204501. doi: 10.1103/PhysRevLett.99.204501. Epub 2007 Nov 14.
We present measurements of fluid particle accelerations in turbulent water flow between counterrotating disks using three-dimensional Lagrangian particle tracking. By simultaneously following multiple particles with sub-Kolmogorov-time-scale temporal resolution, we measured the spatial correlation of fluid particle acceleration at Taylor microscale Reynolds numbers between 200 and 690. We also obtained indirect, nonintrusive measurements of the Eulerian pressure structure functions by integrating the acceleration correlations. Our measurements are in good agreement with the theoretical predictions of the acceleration correlations and the pressure structure function in isotropic high-Reynolds number turbulence by Obukhov and Yaglom in 1951 [Prikl. Mat. Mekh. 15, 3 (1951)]. The measured pressure structure functions display K41 scaling in the inertial range.
我们展示了利用三维拉格朗日粒子追踪技术对反向旋转圆盘间湍流水流中流体粒子加速度的测量结果。通过以亚科尔莫戈罗夫时间尺度的时间分辨率同时跟踪多个粒子，我们测量了泰勒微尺度雷诺数在200至690之间时流体粒子加速度的空间相关性。我们还通过对加速度相关性进行积分，获得了欧拉压力结构函数的间接、非侵入性测量结果。我们的测量结果与奥布霍夫和亚格洛姆在1951年对各向同性高雷诺数湍流中加速度相关性和压力结构函数的理论预测[《应用数学与力学》15, 3 (1951)]高度吻合。测量得到的压力结构函数在惯性范围内呈现K41标度律。
