Volume 9, Issue 2
On the Generation of Instability Tollmien-Schlichting Waves by Free-Stream Turbulence

Luyu Shen & Changgen Lu

Adv. Appl. Math. Mech., 9 (2017), pp. 429-438.

Published online: 2018-05

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  • Abstract

The beginning of the transition from the laminar to a turbulent flow is usually the generation of instability Tollmien-Schlichting (T-S) waves in the boundary layer. Previously, most numerical and experimental researches focused on generating instability T-S waves through the external disturbances such as acoustic waves and vortical disturbances interacting with wall roughness or at the leading-edge of flatplate, whereas only a few paid attention to the excitation of the T-S waves directly by free-stream turbulence (FST). In this study, the generating mechanism of the temporal mode T-S waves under free-stream turbulence is investigated by using direct numerical simulation (DNS) and fast Fourier transform. Wave packets superposed by a group of stability, neutral and instability T-S waves are discovered in the boundary layer. In addition, the relation between the amplitude of the imposed free-stream turbulence and the amplitude of the excited T-S wave is also obtained.

  • Keywords

Free-stream turbulence, Tollmien-Schlichting wave, boundary layer.

  • AMS Subject Headings

76F65, 76F40, 76D33

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-9-429, author = {}, title = {On the Generation of Instability Tollmien-Schlichting Waves by Free-Stream Turbulence}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {2}, pages = {429--438}, abstract = {

The beginning of the transition from the laminar to a turbulent flow is usually the generation of instability Tollmien-Schlichting (T-S) waves in the boundary layer. Previously, most numerical and experimental researches focused on generating instability T-S waves through the external disturbances such as acoustic waves and vortical disturbances interacting with wall roughness or at the leading-edge of flatplate, whereas only a few paid attention to the excitation of the T-S waves directly by free-stream turbulence (FST). In this study, the generating mechanism of the temporal mode T-S waves under free-stream turbulence is investigated by using direct numerical simulation (DNS) and fast Fourier transform. Wave packets superposed by a group of stability, neutral and instability T-S waves are discovered in the boundary layer. In addition, the relation between the amplitude of the imposed free-stream turbulence and the amplitude of the excited T-S wave is also obtained.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2015.m998}, url = {http://global-sci.org/intro/article_detail/aamm/12157.html} }
TY - JOUR T1 - On the Generation of Instability Tollmien-Schlichting Waves by Free-Stream Turbulence JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 429 EP - 438 PY - 2018 DA - 2018/05 SN - 9 DO - http://doi.org/10.4208/aamm.2015.m998 UR - https://global-sci.org/intro/article_detail/aamm/12157.html KW - Free-stream turbulence, Tollmien-Schlichting wave, boundary layer. AB -

The beginning of the transition from the laminar to a turbulent flow is usually the generation of instability Tollmien-Schlichting (T-S) waves in the boundary layer. Previously, most numerical and experimental researches focused on generating instability T-S waves through the external disturbances such as acoustic waves and vortical disturbances interacting with wall roughness or at the leading-edge of flatplate, whereas only a few paid attention to the excitation of the T-S waves directly by free-stream turbulence (FST). In this study, the generating mechanism of the temporal mode T-S waves under free-stream turbulence is investigated by using direct numerical simulation (DNS) and fast Fourier transform. Wave packets superposed by a group of stability, neutral and instability T-S waves are discovered in the boundary layer. In addition, the relation between the amplitude of the imposed free-stream turbulence and the amplitude of the excited T-S wave is also obtained.

Luyu Shen & Changgen Lu. (2020). On the Generation of Instability Tollmien-Schlichting Waves by Free-Stream Turbulence. Advances in Applied Mathematics and Mechanics. 9 (2). 429-438. doi:10.4208/aamm.2015.m998
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