Numerical Study of Unstable T-S Waves Excited by Interaction Between Free-Stream Turbulence and 3D Localized Wall Roughness in Flat-Plate Boundary Layer

SHEN Lu-yu; LU Chang-gen; ZHU Xiao-qing

doi:10.21656/1000-0887.370376

Volume 38 Issue 11

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SHEN Lu-yu, LU Chang-gen, ZHU Xiao-qing. Numerical Study of Unstable T-S Waves Excited by Interaction Between Free-Stream Turbulence and 3D Localized Wall Roughness in Flat-Plate Boundary Layer[J]. Applied Mathematics and Mechanics, 2017, 38(11): 1208-1221. doi: 10.21656/1000-0887.370376

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Numerical Study of Unstable T-S Waves Excited by Interaction Between Free-Stream Turbulence and 3D Localized Wall Roughness in Flat-Plate Boundary Layer

doi: 10.21656/1000-0887.370376

School of Marine Sciences, Nanjing University of Information Science & Technology, Nanjing 210044, P.R.China

Funds: The National Natural Science Foundation of China(11472139)

Received Date: 2016-12-09
Rev Recd Date: 2017-04-10
Publish Date: 2017-11-15

Abstract

Abstract

The direct numerical simulation (DNS) method was adopted to study the physical problem of unstable Tollmien-Schlichting (T-S) waves in the flat-plate boundary layer under the interaction between free-stream turbulence and 3D localized wall roughness. The numerical results show that the spatial arrays of the wave packets composed of 2D and 3D T-S waves form in the flat-plate boundary layer, with the propagation speeds of the wave packets calculated. Then it is proved that the interaction between the free-stream turbulence and the 3D localized wall roughness makes the mechanism for excitation of unstable T-S waves in the flat-plate boundary layer. Subsequently, the relations between the initial 2D & 3D T-S wave amplitudes and the free-stream turbulence intensity, the roughness length, the roughness width and the roughness height, were built. The in-depth research of this problem is conducive to understanding of the hydrodynamic stability theory.
- unstable Tollmien-Schlichting wave,
- 3D localized wall roughness,
- free-stream turbulence,
- boundary layer

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References

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