Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (4): 449-458.doi: https://doi.org/10.1007/s10483-011-1429-9

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Numerical studies on evolution of secondary streamwise vortices in transitional boundary layers

陈林1 唐登斌1 刘超群2   

  1. 1. Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China;
    2. Department of Mathematics, University of Texas at Arlington, Arlington, Texas 76010, USA
  • 收稿日期:2010-08-05 修回日期:2011-03-07 出版日期:2011-03-29 发布日期:2011-04-01

Numerical studies on evolution of secondary streamwise vortices in transitional boundary layers

CHEN Lin1, TANG Deng-Bin1, LIU Chao-Qun2   

  1. 1. Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China;
    2. Department of Mathematics, University of Texas at Arlington, Arlington, Texas 76010, USA
  • Received:2010-08-05 Revised:2011-03-07 Online:2011-03-29 Published:2011-04-01

摘要: Formation and evolution of secondary streamwise vortices in the compressible transitional boundary layers over a flat plate are studied using a direct numerical simulation method with high-order accuracy and highly effective non-reflecting characteristic boundary conditions. Generation and development processes of the secondary streamwise vortices in the complicated transitional boundary flow are clearly analyzed based on the of numerical results, and the effects on the formation of the ring-like vortex that is vital to the boundary layer transition are explored. A new mechanism forming the ring-like vortex through the mutual effect of the primary and secondary streamwise vortices is expressed.

Abstract: Formation and evolution of secondary streamwise vortices in the compressible transitional boundary layers over a flat plate are studied using a direct numerical simulation method with high-order accuracy and highly effective non-reflecting characteristic boundary conditions. Generation and development processes of the secondary streamwise vortices in the complicated transitional boundary flow are clearly analyzed based on the of numerical results, and the effects on the formation of the ring-like vortex that is vital to the boundary layer transition are explored. A new mechanism forming the ring-like vortex through the mutual effect of the primary and secondary streamwise vortices is expressed.

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