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Nonlinear evolution of Klebanoff type second mode disturbances in supersonic flat-plate boundary layer

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Abstract

Studying the evolution of 3D disturbances is of crucial theoretical importance for understanding the transition process. The present study concerns the nonlinear evolution of second mode unstable disturbances in a supersonic boundary layer by the numerical simulation, and discusses the selectivity of 3D disturbances and possibility to transition. The results indicate that a Klebanoff type nonlinear interaction between 2D and 3D disturbances with the same frequency may amplify a band of 3D disturbances centered at a finite spanwise wavenumber. That is, certain 3D disturbances can be selectively and rapidly amplified by the unstable 2D disturbances, and certain small-scale 3D structures will appear.

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Authors and Affiliations

  1. Department of Mechanics, Tianjin University, Tianjin, 300072, P. R. China

    Min Yu  (禹 旻) & Ji-sheng Luo  (罗纪生)

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  1. Min Yu  (禹 旻)
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  2. Ji-sheng Luo  (罗纪生)
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Correspondence to Ji-sheng Luo  (罗纪生).

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Project supported by the State Key Program of National Natural Science Foundation of China (No. 11332007)

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Yu, M., Luo, Js. Nonlinear evolution of Klebanoff type second mode disturbances in supersonic flat-plate boundary layer. Appl. Math. Mech.-Engl. Ed. 35, 359–368 (2014). https://doi.org/10.1007/s10483-014-1796-8

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  • DOI: https://doi.org/10.1007/s10483-014-1796-8

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