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Study of mechanism of breakdown in laminar-turbulent transition of supersonic boundary layer on flat plate

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Abstract

Spatial mode direct numerical simulation has been applied to study the mechanism of breakdown in laminar-turbulent transition of a supersonic boundary layer on a flat plate with Mach number 4.5. Analysis of the result showed that, during the breakdown process in laminar-turbulent transition, the mechanism causing the mean flow profile to evolve swiftly from laminar to turbulent was that the modification of mean flow profile by the disturbance, when they became larger, leads to remarkable change of its stability characteristics. Though the most unstable T-S wave was of second mode for laminar flow, the first mode waves played the key role in the breakdown process in laminar-turbulent transition.

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Authors and Affiliations

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

    Cao Wei  (曹伟), Huang Zhang-feng  (黄章峰) & Zhou Heng  (周恒) (Academician of Chinese Academy of Sciences)

  2. Liuhui Center of Applied Mathematics, Nankai University and Tianjin University, Tianjin, 300072, P. R. China

    Cao Wei  (曹伟) & Zhou Heng  (周恒) (Academician of Chinese Academy of Sciences)

Authors
  1. Cao Wei  (曹伟)
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  2. Huang Zhang-feng  (黄章峰)
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  3. Zhou Heng  (周恒)
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Corresponding author

Correspondence to Zhou Heng  (周恒).

Additional information

Contributed by ZHOU Heng

Project supported by the National Natural Science Foundation of China (No.90205021), the Special Foundation for Doctoral Dissertations Research (No.200328) and the Science Foundation of Liuhui Center of Applied Mathematics, Nankai University and Tianjin University

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Cao, W., Huang, Zf. & Zhou, H. Study of mechanism of breakdown in laminar-turbulent transition of supersonic boundary layer on flat plate. Appl Math Mech 27, 425–434 (2006). https://doi.org/10.1007/s10483-006-0401-1

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  • DOI: https://doi.org/10.1007/s10483-006-0401-1

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