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

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• 作者：Jian Li ; Gang Dong ; Jianlei Zhang
• 关键词：low ; speed streak ; subharmonic varicose mode ; turbulent boundary layer ; direct numerical simulation
• 刊名：Applied Mathematics and Mechanics
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：37
• 期：3
• 页码：325-340
• 全文大小：4,435 KB
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• 作者单位：Jian Li (1)
  Gang Dong (1)
  Jianlei Zhang (1)
  
  1. National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing, 210094, China
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Applications of Mathematics
  Mechanics
  Mathematical Modeling and IndustrialMathematics
  Chinese Library of Science
  
• 出版者：Shanghai University, in co-publication with Springer
• ISSN：1573-2754

文摘

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 \( + \frac{{\partial u}} {{\partial x}}\). 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.