槽道湍流中应变率张量的拉格朗日时间自相关

doi:10.13700/j.bh.1001-5965.2016.0854

北京航空航天大学学报 ›› 2017, Vol. 43 ›› Issue (12): 2513-2519.doi: 10.13700/j.bh.1001-5965.2016.0854

槽道湍流中应变率张量的拉格朗日时间自相关

鲍赋劼¹, 方乐²

1. 北京航空航天大学能源与动力工程学院, 北京 100083;
2. 北京航空航天大学中法工程师学院, 北京 100083

收稿日期:2016-11-04 修回日期:2017-02-06 出版日期:2017-12-20 发布日期:2017-12-29
通讯作者: 方乐 E-mail:le.fang@buaa.edu.cn
作者简介:鲍赋劼,男,硕士研究生。主要研究方向:槽道湍流;方乐,男,博士,教授,硕士生导师。主要研究方向:湍流理论。
基金资助:
国家自然科学基金（11572025，11202013，51420105008）

Lagrangian time auto-correlation of strain-rate tensor in channel turbulence

BAO Fujie¹, FANG Le²

1. School of Energy and Power Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
2. Ecole Centrale de Pékin, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

Received:2016-11-04 Revised:2017-02-06 Online:2017-12-20 Published:2017-12-29
Supported by:
National Natural Science Foundation of China (11572025, 11202013, 51420105008)

摘要/Abstract

摘要： 已有的研究证实，在均匀各向同性湍流中速度梯度张量（VGT）演化的无量纲时间是当地Kolmogorov时间。本文使用大涡模拟的方法，计算了一个雷诺数7 000的槽道流场，以到壁面的无量纲距离的大小将流场分为不同区间，使用当地Kolmogorov时间对不同区间的应变率张量的拉格朗日时间自相关函数进行无量纲化。发现不同区间自相关函数的下降曲线不完全重合：在对数区中不同区间自相关函数的下降曲线基本重合，但在靠近壁面的黏性底层和过渡层中则无此现象。因此，当地Kolmogorov时间不是槽道中速度梯度张量演化的普适无量纲时间。

关键词: 湍流, 槽道流, 大涡模拟, 应变率张量, 拉格朗日自相关

Abstract: It is confirmed that the dimensionless time for evolution of velocity gradient tensor (VGT) is local Kolmogorov time scale in homogeneous isotropic turbulence. The channel flow at Reynolds number 7 000 was calculated using large-eddy simulation in this paper. The flow field was divided into different regions according to the size of the dimensionless distance to the wall and the auto-correlation functions of different regions were normalized by local Kolmogorov time scale. The decline curves of auto-correlation functions in different regions were found not really the same. In logarithmic layer, the decline curves of auto-correlation functions in different regions almost overlapped, while the similar phenomenon did not exist in viscous bottom layer near the wall and buffer layer. The results show that local Kolmogorov time scale is not the universal dimensionless time of evolution of VGT in channel flow.

Key words: turbulence, channel flow, large-eddy simulation, strain-rate tensor, Lagrangian auto-correlation

中图分类号:

O357.5⁺2

鲍赋劼, 方乐. 槽道湍流中应变率张量的拉格朗日时间自相关[J]. 北京航空航天大学学报, 2017, 43(12): 2513-2519.

BAO Fujie, FANG Le. Lagrangian time auto-correlation of strain-rate tensor in channel turbulence[J]. JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2017, 43(12): 2513-2519.

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槽道湍流中应变率张量的拉格朗日时间自相关

Lagrangian time auto-correlation of strain-rate tensor in channel turbulence

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