Linear stability theory with the equivalent spanwise wavenumber correction in 3D boundary layers

  • Runjie Song
  • Shaolong Zhang
  • Jianxin LiuEmail author


The prediction on small disturbance propagation in complex three-dimensional (3D) boundary layers is of great significance in transition prediction methodology, especially in the aircraft design. In this paper, the linear stability theory (LST) with the equivalent spanwise wavenumber correction (ESWC) is proposed in order to accurately predict the linear evolution of a disturbance in a kind of boundary layer flow with a vital variation in the spanwise direction. The LST with the ESWC takes not only the scale of the mean flow with the significant variation but also the wavenumber evolution of the disturbance itself. Compared with the conventional LST, the results obtained by the new method are in excellent agreement with those of the numerical simulations. The LST with the ESWC is an effective method on the prediction of the disturbance evolution in 3D boundary layers, which improves the prediction of the LST in the applications to complex 3D boundary layers greatly.

Key words

three-dimensional (3D) boundary layer prediction of disturbance propagation equivalent spanwise wavenumber linear stability theory (LST) numerical simulation 

Chinese Library Classification

O357.4 O29 

2010 Mathematics Subject Classification



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Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Laboratory for High-Speed AerodynamicsTianjin UniversityTianjinChina
  2. 2.Institute of Fluid PhysicsChina Academy of Engineering PhysicsMianyangChina

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