Skip to main content
Log in

Models of the Interaction between a Laminar Boundary Layer and a Transonic Flow

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

Possible regimes of viscous-inviscid interaction at transonic external flow velocities are investigated. It is shown that different flow regimes can exist depending on the relation between such parameters as the disturbance amplitude and the Mach and Reynolds numbers. Corresponding mathematical models are formulated and the solutions of some problems describing linear regimes of disturbance development are obtained. The models developed make it possible to describe all the possible interaction regimes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. M. J. Lighthill, "On boundary layers and upstream influence. II," Proc. Roy. Soc., London, Ser. A, 217, No. 1131, 476 (1953).

    Google Scholar 

  2. V.Ya. Neiland, "Theory of laminar boundary layer separation in supersonic flow," Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 53 (1969).

  3. K. Stewartson and P. G. Williams, "Self-induced separation”, Proc. Roy. Soc., London, Ser. A, 312, No. 1509, 181 (1969).

    Google Scholar 

  4. A. F. Messiter, A. Leo, and R. E. Melnik, "Shock-wave strength for separation of a laminar boundary layer at transonic speeds," AIAA J., 9, 1197 (1971).

    Google Scholar 

  5. O. S. Ryzhov, "Time-dependent boundary layer with self-induced pressure at transonic velocities of the external flow," Dokl. Akad. Nauk SSSR, 236, 1091 (1977).

    Google Scholar 

  6. O. S. Ryzhov and I.V. Savenkov, "Boundary layer stability at transonic velocities of the external flow," Zh. Prikl. Mekh. Tekhn. Fiz., No. 2, 65 (1990).

  7. V. I. Zhuk, "Forced oscillations in the boundary layer at frequencies near to the upper branch of the neutral curve," Prikl. Mat. Mekh., 51, No. 3, 68 (1987).

    Google Scholar 

  8. J. D. Cole and L. P. Cook, Transonic Aerodynamics, North-Holland, Amsterdam (1986).

    Google Scholar 

  9. V. I. Zhuk, "Nonlinear disturbances inducing a pressure gradient in the boundary layer on a plate in a transonic flow," Prikl. Mat. Mekh., 57, No. 5, 68 (1987).

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Diesperov, V.N., Lipatov, I.I. Models of the Interaction between a Laminar Boundary Layer and a Transonic Flow. Fluid Dynamics 38, 712–723 (2003). https://doi.org/10.1023/B:FLUI.0000007833.50102.19

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:FLUI.0000007833.50102.19

Navigation