Kramel Stefan, Voth Greg A, Tympel Saskia, Toschi Federico
Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA.
Department of Applied Physics, Eindhoven University of Technology, 5600 MB, Eindhoven, Netherlands.
Phys Rev Lett. 2016 Oct 7;117(15):154501. doi: 10.1103/PhysRevLett.117.154501. Epub 2016 Oct 5.
We introduce a new particle shape which shows preferential rotation in three dimensional homogeneous isotropic turbulence. We call these particles chiral dipoles because they consist of a rod with two helices of opposite handedness, one at each end. 3D printing is used to fabricate these particles with a length in the inertial range and their rotations are tracked in a turbulent flow between oscillating grids. High aspect ratio chiral dipoles preferentially align with their long axis along the extensional eigenvectors of the strain rate tensor, and the helical ends respond to the extensional strain rate with a mean spinning rate that is nonzero. We use Stokesian dynamics simulations of chiral dipoles in pure strain flow to quantify the dependence of spinning on particle shape. Based on the known response to pure strain, we build a model that gives the spinning rate of small chiral dipoles using velocity gradients along Lagrangian trajectories from high resolution direct numerical simulations. The statistics of chiral dipole spinning determined with this model show surprisingly good agreement with the measured spinning of much larger chiral dipoles in the experiments.
我们引入了一种新的粒子形状,它在三维均匀各向同性湍流中表现出优先旋转。我们将这些粒子称为手性偶极子,因为它们由一根带有两个相反手性螺旋的杆组成,两端各有一个。利用3D打印技术制造出长度处于惯性范围内的这些粒子,并在振荡网格之间的湍流中追踪它们的旋转。高纵横比的手性偶极子优先使其长轴沿着应变率张量的拉伸特征向量排列,并且螺旋状的末端以非零的平均旋转速率响应拉伸应变率。我们使用纯应变流中手性偶极子的斯托克斯动力学模拟来量化旋转对粒子形状的依赖性。基于对纯应变的已知响应,我们构建了一个模型,该模型利用来自高分辨率直接数值模拟的沿拉格朗日轨迹的速度梯度来给出小手性偶极子的旋转速率。用该模型确定的手性偶极子旋转统计结果与实验中测量的大得多的手性偶极子的旋转结果惊人地吻合。