Institute of Materials and Systems for Sustainability, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8601, Japan.
Division of Physics, Faculty of Pure and Applied Sciences, University of Tsukuba, 1-1-1 Tennoudai, Tsukuba 305-8571, Japan.
Phys Rev E. 2018 Mar;97(3-1):033109. doi: 10.1103/PhysRevE.97.033109.
Heavy particle clustering in turbulence is discussed from both phenomenological and analytical points of view, where the -4/3 power law of the pair-correlation function is obtained in the inertial range. A closure theory explains the power law in terms of the balance between turbulence mixing and preferential-concentration mechanism. The obtained -4/3 power law is supported by a direct numerical simulation of particle-laden turbulence.
本文从唯象学和解析学两方面讨论了湍流中的重粒子团聚现象,在惯性区内得到了关联函数的-4/3 次幂律。一个封闭理论从湍流混合和优先浓缩机制之间的平衡解释了这种幂律关系。颗粒湍流的直接数值模拟支持得到的-4/3 次幂律。