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

Luyu SHEN, Changgen LU, Xiaoqing ZHU

doi:10.1007/s10483-019-2485-9

Applied Mathematics and Mechanics >

2019 , Vol. 40 >Issue 6: 851 - 860

DOI: https://doi.org/10.1007/s10483-019-2485-9

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

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

Received date: 2018-07-15

Revised date: 2018-11-25

Online published: 2019-06-01

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)

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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

Cite this article

Luyu SHEN, Changgen LU, Xiaoqing ZHU . Leading-edge receptivity of boundary layer to three-dimensional free-stream turbulence[J]. Applied Mathematics and Mechanics, 2019 , 40(6) : 851 -860 . DOI: 10.1007/s10483-019-2485-9

References

[1] SARIC, W. S., REED, H. L., and KERSCHEN, E. J. Boundary-layer receptivity to freestream disturbances. Annual Review of Fluid Mechanics, 34(1), 291-319(2002)
[2] GOLDSTEIN, M. E. The evolution of Tollmien-Schlichting waves near a leading edge. Journal of Fluid Mechanics, 127, 59-81(1983)
[3] LAM, S. H. and ROTT, N. Theory of Linearized Time-Dependent Boundary Layers, Cornell University, AFOSR TN-60-1100(1960)
[4] RUBAN, A. I. On the generation of Tollmien-Schlichting waves by sound. Fluid Dynamics, 19(5), 709-717(1984)
[5] GOLDSTEIN, M. E. Scattering of acoustic waves into Tollmien-Schlichting waves by small streamwise variations in surface geometry. Journal of Fluid Mechanics, 154, 509-529(1985)
[6] DUCK, P. W., RUBAN, A. I., and ZHIKHAREV, C. N. The generation of Tollmien-Schlichting waves by free-stream turbulence. Journal of Fluid Mechanics, 312, 341-371(1996)
[7] WU, X. S. On local boundary-layer receptivity to vortical disturbances in the free stream. Journal of Fluid Mechanics, 449, 373-393(2001)
[8] DIETZ, A. J. Local boundary-layer receptivity to a convected free-stream disturbance. Journal of Fluid Mechanics, 378, 291-317(1999)
[9] GOLDSTEIN, M. E. and HULTGREN, L. S. Boundary-layer receptivity to long-wave free-stream disturbances. Annual Review of Fluid Mechanics, 21(1), 137-166(1989)
[10] WU, X. S. Receptivity of boundary layers with distributed roughness to vortical and acoustic disturbances:a second-order asymptotic theory and comparison with experiments. Journal of Fluid Mechanics, 431, 91-133(2001)
[11] HEINRICH, R. A. E. and KERSCHEN, E. J. Leading-edge boundary layer receptivity to various free-stream disturbance structures. Gesellschaft Angewandte Mathematik und Mechanik Jahrestagung Goettingen West Germany Zeitschrift Flugwissenschaften, 69, 596(1989)
[12] FUCIARELLI, D., REED, H., and LYTTLE, I. Direct numerical simulation of leading-edge receptivity to sound. AIAA Journal, 38(7), 1159-1165(2000)
[13] KERSCHEN, E. J., CHOUDHARI, M., and HEINRICH, R. A. Generation of boundary layer instability waves by acoustic and vortical free-stream disturbances. Laminar-Turbulent Transition, Springer, Berlin/Heidelberg, 477-488(1990)
[14] BUTER, T. A. and REED, H. L. Boundary layer receptivity to free-stream vorticity. Physics of Fluids, 6(10), 3368-3379(1994)
[15] RICCO, P. and WU, X. S. Response of a compressible laminar boundary layer to free-stream vortical disturbances. Journal of Fluid Mechanics, 587, 97-138(2007)
[16] GOLDSTEIN, M. E. and RICCO, P. Non-localized boundary layer instabilities resulting from leading edge receptivity at moderate supersonic Mach numbers. Journal of Fluid Mechanics, 838, 435-477(2018)
[17] CHOUDHARI, M. and KERSCHEN, E. J. Instability wave patterns generated by interaction of sound waves with three-dimensional wall suction or roughness. 28th Aerospace Sciences Meeting, Aerospace Sciences Meetings, American Institute of Aeronautics and Astronautics, Reston (1990)
[18] TADJFAR, M. and BODONYI, R. J. Receptivity of a laminar boundary layer to the interaction of a three-dimensional roughness element with time-harmonic free-stream disturbances. Journal of Fluid Mechanics, 242, 701-720(1992)
[19] WÜRZ, W., HERR, S., WÖRNER, A., RIST, U., WAGNER, S., and KACHANOV, Y. S. Three-dimensional acoustic-roughness receptivity of a boundary layer on an airfoil:experiment and direct numerical simulations. Journal of Fluid Mechanics, 478, 135-163(2003)
[20] WU, X. S. Generation of Tollmien-Schlichting waves by convecting gusts interacting with sound. Journal of Fluid Mechanics, 397, 285-316(1999)
[21] SHEN, L. Y. and LU, C. G. Local receptivity in non-parallel boundary layer. Applied Mathematics and Mechanics (English Edition), 37(7), 929-940(2016) http://doi.org/10.1007/s10483-016-2092-9
[22] LU, C. G. and SHEN, L. Y. Numerical study on boundary-layer receptivity with localized wall blowing/suction (in Chinese). Acta Physica Sinica, 64(22), 224702(2015)
[23] SHEN, L. Y. and LU, C. G. A boundary-layer receptivity mechanism excited by the interaction between free-stream turbulence and the three-dimensional localized wall roughness. Advances in Applied Mathematics and Mechanics, 10(3), 735-751(2018)
[24] LU, C. G. and SHEN, L. Y. Numerical study of leading-edge receptivity on the infinite-thin flat-plat boundary layer (in Chinese). Acta Physica Sinica, 65(19), 194701(2016)
[25] ZHANG, Y. M., ZAKI, T., SHERWIN, S., and WU, X. S. Nonlinear response of a laminar boundary layer to isotropic and spanwise localized free-stream turbulence. 6th AIAA Theoretical Fluid Mechanics Conference, American Institute of Aeronautics and Astronautics, Reston (2011)
[26] DIETZ, A. J. Boundary-layer receptivity to transient convected disturbances. AIAA Journal, 36(7), 1171-1177(1998)

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