Leading-edge receptivity of boundary layer to three-dimensional free-stream turbulence

doi:10.1007/s10483-019-2485-9

Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (6): 851-860.doi: https://doi.org/10.1007/s10483-019-2485-9

Leading-edge receptivity of boundary layer to three-dimensional free-stream turbulence

Luyu SHEN, Changgen LU, Xiaoqing ZHU

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

收稿日期:2018-07-15 修回日期:2018-11-25 出版日期:2019-06-01 发布日期:2019-06-01
通讯作者: Changgen LU E-mail:cglu@nuist.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11472139 and 11802143) and the Natural Science Foundation of Jiangsu Province of China (No. BK20180781)

Leading-edge receptivity of boundary layer to three-dimensional free-stream turbulence

Luyu SHEN, Changgen LU, Xiaoqing ZHU

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

Received:2018-07-15 Revised:2018-11-25 Online:2019-06-01 Published:2019-06-01
Contact: Changgen LU E-mail:cglu@nuist.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11472139 and 11802143) and the Natural Science Foundation of Jiangsu Province of China (No. BK20180781)

摘要/Abstract

摘要： The laminar-turbulent transition has always been a hot topic of fluid mechanics. Receptivity is the initial stage and plays a crucial role in the entire transition process. The previous studies of receptivity focus on external disturbances such as sound waves and vortices in the free stream, whereas those on the leading-edge receptivity to the three-dimensional free-stream turbulence (FST), which is more general in the nature, are rarely reported. In consideration of this, this work is devoted to investigating the receptivity process of three-dimensional Tollmien-Schlichting (T-S) wave packets excited by the three-dimensional FST in a flat-plate boundary layer numerically. The relations between the leading-edge receptivity and the turbulence intensity are established, and the influence of the FST directions on the propagation directions and group velocities of the excited T-S wave packets is studied. Moreover, the leading-edge receptivity to the anisotropic FST is also studied. This parametric investigation can contribute to the prediction of laminar-turbulent transition.

关键词: spins, principal axis representation, absolute representation, free-stream turbulence (FST), boundary layer, three-dimensional Tollmien-Schlichting (T-S) wave, leading-edge receptivity

Abstract: The laminar-turbulent transition has always been a hot topic of fluid mechanics. Receptivity is the initial stage and plays a crucial role in the entire transition process. The previous studies of receptivity focus on external disturbances such as sound waves and vortices in the free stream, whereas those on the leading-edge receptivity to the three-dimensional free-stream turbulence (FST), which is more general in the nature, are rarely reported. In consideration of this, this work is devoted to investigating the receptivity process of three-dimensional Tollmien-Schlichting (T-S) wave packets excited by the three-dimensional FST in a flat-plate boundary layer numerically. The relations between the leading-edge receptivity and the turbulence intensity are established, and the influence of the FST directions on the propagation directions and group velocities of the excited T-S wave packets is studied. Moreover, the leading-edge receptivity to the anisotropic FST is also studied. This parametric investigation can contribute to the prediction of laminar-turbulent transition.

Key words: spins, principal axis representation, absolute representation, leading-edge receptivity, free-stream turbulence (FST), boundary layer, three-dimensional Tollmien-Schlichting (T-S) wave

中图分类号:

76D05
76F65

Luyu SHEN, Changgen LU, Xiaoqing ZHU. Leading-edge receptivity of boundary layer to three-dimensional free-stream turbulence[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(6): 851-860.

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Leading-edge receptivity of boundary layer to three-dimensional free-stream turbulence

Leading-edge receptivity of boundary layer to three-dimensional free-stream turbulence

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