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PSE as applied to problems of transition in compressible boundary layers

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Abstract

A new idea of using the parabolized stability equation (PSE) method to predict laminar-turbulent transition is proposed. It is tested in the prediction of the location of transition for compressible boundary layers on flat plates, and the results are compared with those obtained by direct numerical simulations (DNS). The agreement is satisfactory, and the reason for this is that the PSE method faithfully reproduces the mechanism leading to the breakdown process in laminar-turbulent transition, i.e., the modification of mean flow profile leads to a remarkable change in its stability characteristics.

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Authors and Affiliations

  1. School of Mechanical Engineering, Tianjin University, Tianjin, 300072, P. R. China

    Yong-ming Zhang  (张永明)

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

    Heng Zhou  (周恒)

  3. LIU Hui Certer of Applied Mathematics of Nankai University and Tianjin University, Tianjin, 300072, P. R. China

    Heng Zhou  (周恒)

Authors
  1. Yong-ming Zhang  (张永明)
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  2. Heng Zhou  (周恒)
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Corresponding author

Correspondence to Heng Zhou  (周恒).

Additional information

Contributed by ZHOU Heng

Project supported by the National Natural Science Foundation of China (Nos. 10632050, 90716007), and the Science Foundation of LIU Hui Center of Applied Mathematics of Nankai University and Tianjin university.

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Zhang, Ym., Zhou, H. PSE as applied to problems of transition in compressible boundary layers. Appl. Math. Mech.-Engl. Ed. 29, 833–840 (2008). https://doi.org/10.1007/s10483-008-0701-8

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  • DOI: https://doi.org/10.1007/s10483-008-0701-8

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Chinese Library Classification

2000 Mathematics Subject Classification

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