Numerical study on evolution of subharmonic varicose low-speed streaks in turbulent channel flow

doi:10.1007/s10483-016-2038-6

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (3): 325-340.doi: https://doi.org/10.1007/s10483-016-2038-6

Numerical study on evolution of subharmonic varicose low-speed streaks in turbulent channel flow

Jian LI, Gang DONG, Jianlei ZHANG

National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, China

收稿日期:2015-04-01 修回日期:2015-06-23 出版日期:2016-03-01 发布日期:2016-03-01
通讯作者: Gang DONG E-mail:dgvehicle@yahoo.com
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11372140 and 11202102) and the Innovation Project for College Graduates of Jiangsu Province (No.CXZZ13-0189)

Numerical study on evolution of subharmonic varicose low-speed streaks in turbulent channel flow

Jian LI, Gang DONG, Jianlei ZHANG

National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, China

Received:2015-04-01 Revised:2015-06-23 Online:2016-03-01 Published:2016-03-01
Contact: Gang DONG E-mail:dgvehicle@yahoo.com
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11372140 and 11202102) and the Innovation Project for College Graduates of Jiangsu Province (No.CXZZ13-0189)

摘要/Abstract

摘要：

The evolution of two spanwise-aligned low-speed streaks in a wall turbulent flow, triggered by the instability of the subharmonic varicose (SV) mode, is studied by a direct numerical simulation (DNS) method in a small spatial-periodic channel. The results show that the SV low-speed streaks are self-sustained at the early stage, and then transform into subharmonic sinuous (SS) low-speed streaks. Initially, the streamwise vortex sheets are formed by shearing, and then evolve into zigzag vortex sheets due to the mutual induction. As the intensification of the SV low-speed streaks becomes prominent, the tilted streamwise vortex tubes and the V -like streamwise vortex tubes can be formed simultaneously by increasing +?u/?x . When the SV low-speed streaks break down, new zigzag streamwise vortices will be generated, thus giving birth to the next sustaining cycle of the SV low-speed streaks. When the second breakdown happens, new secondary V -like streamwise vortices instead of zigzag streamwise vortices will be generated. Because of the sweep motion of the fluid induced by the secondary V -like streamwise vortices, each decayed low-speed streak can be divided into two parts, and each part combines with the part of another streak, finally leading to the formation of SS low-speed streaks.

关键词: direct numerical simulation, low-speed streak, subharmonic varicose mode, turbulent boundary layer

Abstract:

Key words: direct numerical simulation, low-speed streak, subharmonic varicose mode, turbulent boundary layer

中图分类号:

Jian LI, Gang DONG, Jianlei ZHANG. Numerical study on evolution of subharmonic varicose low-speed streaks in turbulent channel flow[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(3): 325-340.

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Numerical study on evolution of subharmonic varicose low-speed streaks in turbulent channel flow

Numerical study on evolution of subharmonic varicose low-speed streaks in turbulent channel flow

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