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On the Generation of Instability Tollmien-Schlichting Waves by Free-Stream Turbulence

Part of: Turbulence Incompressible viscous fluids

Published online by Cambridge University Press:  09 January 2017

Luyu Shen  and
Changgen Lu
Luyu Shen*
Affiliation:
School of Marine Sciences, Nanjing University of Information Science & Technology, Nanjing 210044, China
Changgen Lu*
Affiliation:
School of Marine Sciences, Nanjing University of Information Science & Technology, Nanjing 210044, China
*
*Corresponding author. Email:shenluyu99@foxmail.com (L. Y. Shen), cglu@nuist.edu.cn (C. G. Lu)
*Corresponding author. Email:shenluyu99@foxmail.com (L. Y. Shen), cglu@nuist.edu.cn (C. G. Lu)
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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 turbulenceTollmien-Schlichting waveboundary layer

MSC classification

Secondary: 76F65: Direct numerical and large eddy simulation of turbulence 76F40: Turbulent boundary layers 76D33: Waves
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 2 , April 2017 , pp. 429 - 438
Copyright
Copyright © Global-Science Press 2017 

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