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SCALING OF FINE SCALE EDDIES IN TURBULENT CHANNEL FLOWS UP TO Reτ =800

Mamoru Tanahashi
Department of Mechanical and Aerospace Engineering Tokyo Institute of Technology 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8550, Japan

Shin-Jeong Kang
Department of Mechanical and Aerospace Engineering, Tokyo Institute of Technology 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8552, Japan

Toshifumi Miyamoto
Department of Mechanical and Aerospace Engineering, Tokyo Institute of Technology 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8552, Japan

S. Shiokawa
Department of Mechanical and Aerospace Engineering, Tokyo Institute of Technology 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8552, Japan

Toshio Miyauchi
Dept. Mechanical and Aerospace Eng., Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8552, Japan; Organization for the Strategic Coordination of Research and Intellectual Properties Meiji University 1-1-1 Higashimita, Tama-ku, Kawasaki, Kanagawa, Japan

Abstract

To clarify the scaling law of fine scale eddies in turbulent channel flows, direct numerical simulations are conducted for Reτ=180, 400 and 800. The diameter and the maximum azimuthal velocity of coherent fine eddies can be scaled by Kolmogorov micorscale (η) and Kolmogorov velocity (uk). The most expected diameter and maximum azimuthal velocity are 8 ~ 10η and 1.2 ~ 2.0uk, respectively. Near the wall, the most expected diameter increases to 10η from 8η and the most expected maximum azimuthal velocity increases to 2.0uk from 1.2uk Strain rates at the center of the coherent fine scale eddies is small compared with the mean strain rate of the whole flow field. The strain rates acting on the fine scale eddies away from the wall coincide with those in homogeneous turbulence and turbulent mixing layer, However, relatively large strain rates are acting on the near-wall coherent fine scale eddies. The most expected angle between the intermediate eigen vector and the rotating axis of the fine scale eddy is about 15~17degrees, which is independent on the turbulent flow fields. The probability that coherent fine scale eddies exist in low-speed streaks is higher than that in high-speed streaks. Large scale structures of wall turbulence are visualized by showing spatial distributions of central axes of coherent fine scale eddies.