Advertisement

Numerical Experiments on Boundary-Layer Receptivity

  • Thomas B. Gatski
  • Chester E. Grosch
Part of the ICASE NASA LaRC Series book series (ICASE/NASA)

Abstract

The incompressible laminar flow over an infinitely thin flat plate is obtained using a Navier-Stokes code in vorticity-velocity variables. The flow at and near the leading edge of the plate is an integral part of the solution algorithm which requires no special treatment; thus allowing for the flow field in this region to be studied in detail. An incident plane sound wave is imposed in the free-stream flow and the receptivity of the boundary layer is studied with particular emphasis to the flow near and at the leading edge.

Keywords

Boundary Layer Shear Layer Displacement Thickness Disturbance Velocity Virtual Origin 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Kachanov, Yu. S., Kozlov, V. V., Levchenko, V. Ya, and Maksimov, V. P.: The Transformation of External Disturbances into the Boundary Layer Waves. Sixth International Conference on Numerical Methods in Fluid Dynamics, Tbilisi, U.S.S.R., H. Cabannes, M. Holt and V. Rusanov (eds.) Springer-Verlag, Berlin, June 21–24, 1978, pp. 299–307.Google Scholar
  2. 2.
    Murdock, John W.: The Generation of a Toll mien-Schlichting Wave by a Sound Wave. Proc. R. Soc. Lond. A., Vol. 372 (1980), pp. 517–534.ADSCrossRefGoogle Scholar
  3. 3.
    Goldstein, M. E.: The Evolution of Tollmien-Schl ichting Waves near a Leading Edge. J. Fluid Mechanics (1983), Vol. 127, pp. 59–81.ADSzbMATHCrossRefGoogle Scholar
  4. 4.
    Goldstein, M. E., Sockol, P. M., and Sang, J.: The Evolution of Toillmien-Schlichting Waves near a Leading Edge. Part 2, Numerical Determination of Amplitudes. J. Fluid Mechanics (1983), Vol. 129, pp. 443–453.ADSzbMATHCrossRefGoogle Scholar
  5. 5.
    Leehey, C., Gedney, C. J., and Her, J. Y.: The Receptivity of a Laminar Boundary Layer to External Disturbances. IUTAM Symposium on Laminar-Turbulente Transition, Novosibrisk, U.S.S.R., July 9–13, 1984, V. V. Kozlov (ed.), pp. 233–242.Google Scholar
  6. 6.
    Gatski, T. B.: Drag Characterstics of Unsteady, Perturbed Boundary Layer Flows. AIAA Shear Flow Control Conference, Boulder, CO, March 12–14, 1985. Paper No. 85–0551.Google Scholar
  7. 7.
    Gatski, T. B.; and Grosch, C. E.: Embedded Cavity Drag in Steady Laminar Flow. AIAA Journal, Vol. 23, No. 7, July 1985, pp. 1028–1037.ADSzbMATHCrossRefGoogle Scholar
  8. 8.
    Mclnville, R. M.; Gatski, T. B.; and Hassan, H. A.: Analysis of Large Vortical Structures in Shear Layers. AIAA Journal, Vol. 23, No.8 August 1985, pp. 1165–1171.ADSCrossRefGoogle Scholar
  9. 9.
    Gatski, T. B.; Grosch, C. E.; and Rose, M. E.: A Numerical Study of the Two-Dimensional Navier-Stokes Equations in Vorticity-Velocity Variables. Journal Comp Physics, Vol. 48, No. 1, October 1982, pp. 1–22.ADSzbMATHCrossRefGoogle Scholar
  10. 10.
    Halpern, L.: Artificial Boundary Conditions for the Linear Advection Diffusion Equation. Internal Report No. 118, Centre De Mathematiques Appliques, Equipe de Recherche Associee du C.N.R.S., No. 747, 1985.Google Scholar
  11. 11.
    Drazin, P. G.; and Reid, W. H.: Hydrodynamic Stability, Cambridge University Press, Cambridge, England. G. K. Batchelor and J. W. Miles (eds.), 1981.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • Thomas B. Gatski
  • Chester E. Grosch

There are no affiliations available

Personalised recommendations