Volume 30 Issue 1
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LI Hui, HUANG Zhang-feng. Effect of local hump on stability of compressible boundary layer on flat plate[J]. Journal of Aerospace Power, 2015, 30(1): 173-181. doi: 10.13224/j.cnki.jasp.2015.01.024
Citation: LI Hui, HUANG Zhang-feng. Effect of local hump on stability of compressible boundary layer on flat plate[J]. Journal of Aerospace Power, 2015, 30(1): 173-181. doi: 10.13224/j.cnki.jasp.2015.01.024
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Effect of local hump on stability of compressible boundary layer on flat plate

doi: 10.13224/j.cnki.jasp.2015.01.024

  • 1. State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang Sichuan 621000, China;

  • 2. Department of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin 300072, China

  • Received Date: 2013-08-29
  • Publish Date: 2015-01-28
    Abstract
  • Direct numerical simulation (DNS) method was performed on compressible boundary layer on flat plate with a local hump, and linear stability theory (LST) was applied to conduct the stability analysis based on the mean flow with Mach number of 4.5. The interactions between the disturbances with different frequencies and the local hump with various heights were simulated by solving the perturbation equations, and the effect of local hump on the stability was characterized by a transmission coefficient. The results show that, the local hump affectes the mean flow locally when the height of the local hump is smaller than 0.2 times of the boundary layer thickness. Local hump destabilizes the disturbances with frequency smaller than the most unstable disturbance frequency, and stabilizes the disturbances with frequency larger than the most unstable disturbance frequency, wherein the most unstable disturbance frequency is the frequency of the most unstable second modal disturbance of the boundary layer on flat plate at the center position of the local hump. Transmission coefficient quantitatively describes the effect of local hump on the instability. The local hump with height 0.2 times of the boundary layer thickness enables the correction of the N of e-N method 0.8, about 10% of N at the transition location, which can not be neglected in the transition prediction process.

     

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