Response of turbulent enstrophy to sudden implementation of spanwise wall oscillation in channel flow

doi:10.1007/s10483-017-2226-9

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (8): 1159-1170.doi: https://doi.org/10.1007/s10483-017-2226-9

Response of turbulent enstrophy to sudden implementation of spanwise wall oscillation in channel flow

Mingwei GE¹, Guodong JIN²

1. School of Renewable Energy, North China Electric Power University, Beijing 102206, China;
2. State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China

收稿日期:2016-10-03 修回日期:2016-12-21 出版日期:2017-08-01 发布日期:2017-08-01
通讯作者: Mingwei GE,E-mail:gmwncepu@163.com E-mail:gmwncepu@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11402088 and 51376062), the Opening Fund of State Key Laboratory of Nonlinear Mechanics, and the Fundamental Research Funds for the Central Universities (No. 2107MS022)

Response of turbulent enstrophy to sudden implementation of spanwise wall oscillation in channel flow

Mingwei GE¹, Guodong JIN²

1. School of Renewable Energy, North China Electric Power University, Beijing 102206, China;
2. State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China

Received:2016-10-03 Revised:2016-12-21 Online:2017-08-01 Published:2017-08-01
Contact: Mingwei GE E-mail:gmwncepu@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11402088 and 51376062), the Opening Fund of State Key Laboratory of Nonlinear Mechanics, and the Fundamental Research Funds for the Central Universities (No. 2107MS022)

摘要/Abstract

摘要：

The response of turbulent enstrophy to a sudden implementation of spanwise wall oscillation (SWO) is studied in a turbulent channel flow via direct numerical simulation. In the beginning of the application of SWO, a significant correlation is formed between ω'_y and ω'_z. A transient growth of turbulent enstrophy occurs, which directly enhances turbulent dissipation and drifts the turbulent flow towards a new lower-drag condition. Afterwards, the terms related to the stretching of vorticity (ω_x, ω'_y, and ω_z), the inclination of ω'_y by ∂w/∂y, the turn of ω_z by ∂v'/∂z, and the horizontal shear of ω_z by ∂w'/∂x are suppressed due to the presence of SWO, leading to attenuation of the turbulent enstrophy.

关键词: anisotropic media, SH-wave, displacement amplitude, canyon topography with lining, turbulent channel flow, spanwise wall oscillation (SWO), transport of enstrophy, drag reduction

Abstract:

The response of turbulent enstrophy to a sudden implementation of spanwise wall oscillation (SWO) is studied in a turbulent channel flow via direct numerical simulation. In the beginning of the application of SWO, a significant correlation is formed between ω'_y and ω'_z. A transient growth of turbulent enstrophy occurs, which directly enhances turbulent dissipation and drifts the turbulent flow towards a new lower-drag condition. Afterwards, the terms related to the stretching of vorticity (ωx, ω'_y, and ω_z), the inclination of ω'_y by ∂w/∂y, the turn of ω_z by ∂v'/∂z, and the horizontal shear of ω_z by ∂w'/∂x are suppressed due to the presence of SWO, leading to attenuation of the turbulent enstrophy.

Key words: anisotropic media, SH-wave, displacement amplitude, canyon topography with lining, drag reduction, turbulent channel flow, transport of enstrophy, spanwise wall oscillation (SWO)

中图分类号:

76F40

Mingwei GE, Guodong JIN. Response of turbulent enstrophy to sudden implementation of spanwise wall oscillation in channel flow[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(8): 1159-1170.

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Response of turbulent enstrophy to sudden implementation of spanwise wall oscillation in channel flow

Response of turbulent enstrophy to sudden implementation of spanwise wall oscillation in channel flow

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