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PSE as applied to problems of transition in compressible boundary layers

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  • 1. School of Mechanical Engineering, Tianjin University, Tianjin 300072, P. R. China;
    2. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;
    3. LIU Hui Certer of Applied Mathematics of NankaiUniversity and Tianjin University,Tianjin 300072, P. R. China

Received date: 2008-03-21

  Revised date: 2008-05-27

  Online published: 2008-01-01

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 thelocation 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.

Cite this article

ZHANG Yong-ming;ZHOU Heng; . PSE as applied to problems of transition in compressible boundary layers[J]. Applied Mathematics and Mechanics, 2008 , 29(7) : 833 -840 . DOI: 10.1007/s10483-008-0701-8

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