Abstract
Nonlinear, compressible parabolized stability equations (PSE) are used to study the transition process in a Mach 1.6 flat plate boundary layer. It is shown that two oblique first-mode waves interacting among themselves could lead to transition for very small initial amplitudes. Nonlinear interaction of the first mode waves leads to the formation of a streamwise vortex and the associated mean flow alteration results in the spanwise regions of positive and negative shear (unsteady) during the breakdown stage. The location of transition (the rise of the mean wall shear above the laminar value) is computed for different initial amplitudes of the first mode waves.
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References
Bertolotti, F. P., 1991 “Compressible Boundary Layer Stability Analyzed with the PSE Equations,” AIAA Paper 91–1637.
Chang, C.-L., Malik, M. R., Erlebacher, G. and Hussaini, M. Y., 1991 “Compressible Stability of Growing Boundary Layers Using Parabolized Stability Equations,” AIAA Paper 91–1636.
Corke, T. C., 1989 “Effect of Controlled Resonant Interactions and Mode Detuning on Turbulent Transition in Boundary Layers,” Proceedings IUTAM Symposium on Laminar-Turbulent Transition (ed. D. Arnal, R. Michel ), Toulouse, France.
Herbert, Th., 1983 “Secondary Instability of Plane Channel Flow,” Phys. Fluids, Vol. 26, p. 871.
Herbert, Th., 1988 “Secondary Instability of Boundary Layers,” Ann. Rev. Fluid Mech., Vol. 20, p. 487.
Herbert, Th., 1991 “Boundary-Layer Transition - Analysis and Prediction Revisited,” AIAA Paper 91–0737.
Kachanov, Yu. S. and Levchenko, V. Ya., 1984 “The Resonant Interaction of Disturbances at Laminar-Turbulent Transition in a Boundary Layer,” J. Fluid Mech., Vol. 138, p. 209.
Malik, M. R., 1984 “Instability and Transition in Supersonic Boundary Layers. Laminar-Turbulent Boundary Layers,” (Ed. E. M. Uram and H. E. Weber), Energy Resources Technology Conference, New Orleans, Louisiana.
Malik, M. R., 1989 “Prediction and Control of Transition in Supersonic and Hypersonic Boundary Layers,” AIAA J., Vol. 27, No. 11, pp. 1487–1493.
Saric, W. S. and Thomas, A. S. W., 1983 “Experiments on the Subharmonic Route to Turbulence in Boundary Layers,” Proceedings IUTAM Symposium on Turbulence and Chaotic Phenomena in Fluids, Kyoto, Japan, Sept. 5–12.
Thumm, A, Wolz, W., and Fasel, H., 1989 “Numerical Simulation of Spatially Growing Three-Dimensional Disturbance Waves in Compressible Boundary Layers,” Proceedings of the third IUTAM Symposium on Laminar-Turbulent Transition, Toulouse, France, Sept. 11–15.
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© 1992 Springer-Verlag New York, Inc.
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Chang, CL., Malik, M.R. (1992). Oblique Mode Breakdown in a Supersonic Boundary Layer Using Nonlinear PSE. In: Hussaini, M.Y., Kumar, A., Streett, C.L. (eds) Instability, Transition, and Turbulence. ICASE NASA LaRC Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2956-8_22
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DOI: https://doi.org/10.1007/978-1-4612-2956-8_22
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