Summary
The inviscid instability of wall-bounded velocity profiles with an inflexion point has been investigated numerically. The growth rates and phase velocities of the disturbances have been calculated for profile types ranging from that found in free shear layers to those in wall boundary layers close to separation. It is found that the presence of the wall has a stabilizing influence. For a special case, the distribution of the fluctuating velocity, the streakline pattern and the instantaneous velocity and pressure profiles are shown. The effect of finite, but large Reynolds number has been studied by comparing the inviscid results with that of the Orr-Sommerfeld equation and with measured values.
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References
Lord Rayleigh: On the stability, or instability, of certain fluid motions. Sci. Papers 1 (1880) 474–487.
Michalke, A.: On the inviscid instability of wall-bounded velocity profiles close to separation. Z. Flugwiss. Weltraumforsch. 11 (1990) 24–31.
Boiko, A.V.; Dovgal, A.V.; Kozlov, V.V.; Sherbakov, V.A.: Instability and receptivity of a boundary layer with 2-D roughness element, (in Russian language). Proc. Sibirian Branch USSR Academy of Science, Series Techn. Sci., No. 1, (1990), 50–56.
Dovgal, A.V.; Kozlov, V.V.: Hydrodynamic instability and receptivity of small scale separation regions. To be published in the Proceedings of IUTAM-Symposium ‘On laminar-turbulent transition’, Toulouse, Sept. 1989.
Michalke, A.: On spatially growing disturbances in an inviscid shear layer. J. Fluid Mech. 23 (1965) 521–544.
Michalke, A.; Freymuth, P.: The instability and formation of vortices in a free boundary layer. AGARD Conference Proc. No. 4 “ Separated Flows”, pt. II (1966) 575–595.
Monkewitz, P.A.: Private Communication (1990)
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© 1991 Springer-Verlag, Berlin Heidelberg
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Michalke, A. (1991). On the Instability of Wall-Boundary Layers Close to Separation. In: Kozlov, V.V., Dovgal, A.V. (eds) Separated Flows and Jets. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84447-8_74
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DOI: https://doi.org/10.1007/978-3-642-84447-8_74
Publisher Name: Springer, Berlin, Heidelberg
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