The role of velocity derivative skewness in understanding non-equilibrium turbulence

doi:10.1088/1674-1056/abbbdc

中国物理B ›› 2020, Vol. 29 ›› Issue (11): 114702-.doi: 10.1088/1674-1056/abbbdc

Feng Liu(刘锋)¹^,²^,†(), Le Fang(方乐)², Liang Shao(邵亮)³

收稿日期:2020-08-10 修回日期:2020-09-20 接受日期:2020-09-28 出版日期:2020-11-05 发布日期:2020-11-03

The role of velocity derivative skewness in understanding non-equilibrium turbulence

Feng Liu(刘锋)^{1,2, †}, Le Fang(方乐)², and Liang Shao(邵亮)³$

1 School of Energy and Power Engineering, North University of China, Taiyuan 030051, China
2 Laboratory of Mathematics and Physics, Ecole Centrale de Pékin, Beihang University, Beijing 100191, China
3 Laboratoire de Mécaniques des Fluides et d’Acoustique, Ecole Centrale de Lyon–Université de Lyon, Ecully 69134, France

Received:2020-08-10 Revised:2020-09-20 Accepted:2020-09-28 Online:2020-11-05 Published:2020-11-03
Contact: ^†Corresponding author. E-mail: feng.liu@nuc.edu.cn
Supported by:
the National Natural Science Foundation of China (Grant No. 11772032) and the Science Foundation of North University of China (Grant No. 11026829).

摘要/Abstract

Abstract:

The turbulence governed by the Navier–Stokes equation is paramount in many physical processes. However, it has been considered as a challenging problem due to its inherent nonlinearity, non-equilibrium, and complexity. Herein, we review the connections between the velocity derivative skewness S_k and the non-equilibrium properties of turbulence. S_k, a reasonable candidate for describing the non-equilibrium turbulence, which varies during the non-equilibrium procedure. A lot of experimental or numerical evidences have shown that the perturbation of energy spectrum, which associated with the excitation of large scales, results in an obvious variation of S_k, and S_k is a negative value in this rapid energy decay process. The variation of positive S_k is closely related to the perturbation of transfer spectrum, and this corresponds to the backward energy transfer process. In addition, the skewness characterizes the production (or reduction) rate of enstrophy due to vortex stretching (or compression). Using the transport equation of turbulent energy dissipation rate and enstrophy, it is possible to establish a theoretical connection between skewness and the non-equilibrium turbulence. It is expected that this work could trigger the rapid advancement of the future studies of non-equilibrium turbulence, and also the improvement of turbulence models.

Key words: velocity derivative skewness, non-equilibrium turbulence, turbulence model

Feng Liu(刘锋), Le Fang(方乐), Liang Shao(邵亮). [J]. 中国物理B, 2020, 29(11): 114702-.

Feng Liu(刘锋), Le Fang(方乐), and Liang Shao(邵亮)$. The role of velocity derivative skewness in understanding non-equilibrium turbulence[J]. Chin. Phys. B, 2020, 29(11): 114702-.

图/表 3

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The role of velocity derivative skewness in understanding non-equilibrium turbulence

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