Advertisement

Comparison of Asymptotic Prediction Methods for Boundary-Layer Receptivity

  • P. W. Hammerton
  • M. Gaster
Conference paper
Part of the IUTAM Symposia book series (IUTAM)

Summary

Orr-Sommerfeld theory and triple deck theory are compared for receptivity problems. Predictions for the perturbed velocity field are obtained and compared with experimental results for one of the simplest cases of receptivity, namely an isolated oscillating roughness element on a flat-plate.

Keywords

Receptivity Orr-Sommerfeld Triple-Deck 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Stewartson, K., 1969, “On the flow near the trailing edge of a flat plate,” Mathematika 16, 106–121.CrossRefGoogle Scholar
  2. [2]
    Smith, F.T., 1979, “On the non-parallel flow stability of the Blasius boundary layer,” Proc. R. Soc. Lond. A366, 91–109.Google Scholar
  3. [3]
    Duck, P.W., 1985, “Laminar-flow over unsteady humps—the formation of waves,” J. Fluid Mech. 160, 465–498.CrossRefMATHMathSciNetGoogle Scholar
  4. [4]
    Cowley, S.J. & Wu, X. , 1994, “Asymptotic approaches to transition modelling,” AGARD Report Google Scholar
  5. [5]
    Gaster, M. & Sen Gupta, T.K., 1993, “The generation of disturbances in a boundary layer by wall perturbations: the vibrating ribbon revisited once more,” In Instabilities and Turbulence in Engineering Flows ed. D.E. Ashpis et al. Kluwer, 1993.Google Scholar
  6. [6]
    Goldstein M.E. 1985 “Scattering of acoustic waves into Tollmien-Schlichting waves by small streamwise variations in surface geometry,” J. Fluid Mech. 154, 509–529.CrossRefMATHGoogle Scholar
  7. [7]
    Choudhari, M. & Kerschen, E.J., 1990, “Instability wave patterns generated by interaction of sound waves with three-dimensional wall suction or roughness,” AIAA-90-0119.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • P. W. Hammerton
    • 1
  • M. Gaster
    • 2
  1. 1.Department of Applied Mathematics & Theoretical PhysicsUniversity of CambridgeCambridgeUK
  2. 2.Department of EngineeringUniversity of CambridgeCambridgeUK

Personalised recommendations