Abstract
Experimental investigations of the laminar-turbulent transition in the low-speed boundary layers [1] – [6] have shown the possibilities of various scenarios for a nonlinear stage in the transition zone. The physical features of the nonlinear mechanisms are discussed in the review [7]. The nonlinear stage of the transition in supersonic boundary layers has not been understood yet, because of difficulties in experimental research.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Klebanoff, P.S, Tidstrom, K.D. & Sargent, L.M. The three-dimensional nature of boundary layer instability. J. Fluid Mech., 12:1–34, 1962.
Kachanov, Yu.S., Kozlov, V.V., & Levchenko, V.Ya. Nonlinear development of wave in boundary layer. Izv. Akad. Nauk SSSR, Mech. Zhidk. i Gasa, (3):49–53, 1977. (In Russian).
Thomas, A.S.W. & Saric, W.S. Harmonic and subharmonic waves during layer transition. Bull. Amer. Soc., 26:1252, 1981.
Saric, W.S. & Thomas, A.S.W. Experiments on the subharmonic route to turbulence in boundary layers. In Tatsumi T., editor, Turbulence and Chaotic Phenomena in Fluids, pages 117–122. IUTAM, Springer, 1984.
Kachanov, Yu.S. & Levchenko, V.Ya. The resonance interaction of disturbances at laminar-turbulent transition. J. Fluid Mech., 138:209–247, 1984.
Saric, W.S., Kozlov, V.V. & Levchenko, V.Ya. Forced and unforced subharmonic resonance in boundary layer transition. AIAA Paper, (84–0007), 1984.
Kachanov, Yu.S. Physical mechanisms of laminar-boundary-layer transition. Ann. Rev. Fluid Mech., 26:411–482, 1994.
Laufer, J. & Verbalovich, T. Stability and transition of a laminar boundary layer on an insulated flat plate. J. Fluid Mech., 9:257 - 299, 1960.
Kendall, J.M. Supersonic boundary layer stability experiments. Aerospace Report 158 (S3816–63)-1, 1967.
Kosinov, A.D., Maslov, A.A. & Shevelkov, S.G. Experiments on the stability of supersonic laminar boundary layers. J. Fluid Mech., 219:621–633, 1990.
Zhigulev, V.N. & Tumin, A.M. Origin of Turbulence. Nauka, 1987. (In Russian).
Tumin, A.M. A packet of instability waves in a supersonic boundary layer. News of Siberian department of Acad. Sci. USSR, Tecnical Series, (4), 1988. (In Russian).
Balakumar, P. & Malik, M.R. Waves produced from a harmonic point source in a supersonic boundary layer flow. J. Fluid Mech., 245:229–247, 1992.
Kosinov, A.D., Semionov, N.V., Shevelkov, S.G. & Zinin, O.I. Experiments on the nonlinear instability of supersonic boundary layers. In Valentine, D.T., Lin, S.P., Philips, W.R.C., editor, Nonlinear instability of nonparallel flows, pages 196–205. IUTAM, Springer, 1994.
Gaponov, S.A., Kosinov, A.D., Maslennikova, I.I., Semionov, N.V. & Shevelkov, S.G. Nonlinear development of waves in the supersonic boundary layer. In Kobayashi R., editor, Laminar-Turbulent Transition. IUTAM, Springer, 1995. To be published.
El-Hady, N.M. Secondary instability of compressible boundary layer to subharmonic three-dimensional disturbances. AIAA Paper, (89–0035), 1989.
Masad, J.A. & Nayfeh, A.H. Subharmonic instability of compressible boundary layers. Phys. Fluids, 2:1380–1392, 1990.
Thumm, A., Wolz, W. & Fasel, H. Numerical simulation of spatially growing three-dimensional disturbance waves in compressible boundary layers. In Arnal D. & Michel R., editor, Laminar-Turbulent Transition, pages 303–310. IUTAM, Springer, 1990.
Chang, C.L. & Malik, M.R. Nonlinear stability of a mach number 1.6 boundary layer. In Valentine, D.T., Lin, S.P., Philips, W.R.C., editor, Nonlinear stability of Nonparallel flows, pages 232 – 241. IUTAM, Springer, 1994.
Adams, N.A. & Sandham, N.D. Numerical simulation of boundary layer transition at mach two. Applied Scientific Research, 51:371–375, 1993.
Tumin, A. Nonlinear interaction in a three-dimensional compressible boundary layer. In Proceedings. ICAS/AIAA, 1994.
Zelman, M.B. & Maslennikova, LI. Wave perturbation resonant interaction effects in boundary layers. Izv. Akad. Nauk SSSR, Mech. Zhidk. i Gasa, (4), 1984. (In Russian).
Zelman, M.B. & Maslennikova, I.I. Tollmien-schlichting-wave resonant mechanism for subharmonic-type transition. J. Fluid Mech., 252:449–478, 1993.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Kluwer Academic Publishers
About this paper
Cite this paper
Kosinov, A.D., Tumin, A. (1996). Resonance Interaction of Wave Trains in Supersonic Boundary Layer. In: Duck, P.W., Hall, P. (eds) IUTAM Symposium on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers. Fluid Mechanics and Its Applications, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1700-2_36
Download citation
DOI: https://doi.org/10.1007/978-94-009-1700-2_36
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7261-8
Online ISBN: 978-94-009-1700-2
eBook Packages: Springer Book Archive