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Lagrangian time scales and its relationship to Eulerian equivalents in turbulent channel flow

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Lagrangian and Eulerian time scales were obtained from the direct numerical simulation of turbulent channel flow at two Reynolds numbers based on the friction velocity and channel half-height, Reτ - 80,100. The Lagrangian integral time scales and time microscales were compared to their Eulerian equivalents. It is found that the ratio of Lagrangian to Eulerian integral time scales is give by TiL/TiE=1+0.1y+for y+ ≤ 10, and that the ratios between the Lagrangian to the Eulerian time microscales are almost the same irrespective of the components. Those increase with y+ are approximated by TiL/TiE≈2.75 - 1.75 exp (-y+/α) . These results also show that these expressions are independent of the Reynolds number.

turbulent channel flowLagrangian time scaleEulerian time scaledirect numerical simulation (DNS)

LUO Jian-ping、LU Zhi-ming、LIU Yu-lu

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School of Mechanical and Automation Engineering,Shanghai Institute of Technology,Shanghai 200235,P.R.China

Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,P.R.China

国家自然科学基金Science Fundation for Young Teachers of ShanghShanghai Pujiang ProgramShanghai Pujiang Program

10742005YJ2007-2608PJ140910006PJ14041

2010

10.1007/s11741-010-0114-1

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子：0.196
ISSN：1007-6417
年,卷(期)：2010.14(1)
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