Summary
A brief survey is given on artificial excitation of instability waves in parallel flows. There are basically two categories of unstable flows:
-
(i)
convectively unstable and
-
(ii)
absolutely unstable flows.
The perturbation level in convectively unstable flows, e.g., boundary layers and most free shear flows, depends on the excitation only. On the other hand, absolutely unstable flows, e.g., wake flows and hot jets, do maintain fluctuations independent of any exterior excitation. Finally, effects of non-parallel mean flow and of varying boundary conditions on instability wave excitation are discussed.
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References
Nishioka, M.; Morkovin, M.V.: Boundary-layer receptivity to unsteady pressure gradients: experiments and overview. To be published in the J. Fluid Mech.
Aizin, L.B.; Polyakov, N.F.: Acoustic generation of Tollmien-Schlichting waves over local unevenness of surfaces immersed in streams. In Russian. Reprint 17 (1979) Akad. Nauk, USSR, Siberian Div., Inst. Theor. & Applied Mech., Novosibirsk.
Obremski, H.; Morkovin, M.V.; Landahl, M.: A portfolio of stability characteristics of incompressible boundary layers. AGARDograph 134 (1969). §2.2. Free stream disturbances and boundary-layer receptivity.
Helmholtz, H.v.: Theorie der Luftschwingungen in Rohren mit offenen Enden. Crelle-Borchardt, Journal fr die reine und angewandte Mathematik, Bd. LVII (1860) 1–72.
Betchov, R.; Criminale, W.O.: Stability of parallel flows. New York: Academic Press 1967.
Gaster, M.: A theoretical model of a wave packet in the boundary layer on a flat plate. Proc. Roy. Soc. A 347 (1975) 271–289.
Huerre, P., Monkewitz, P.A.: Absolute and convective instabilities in free shear layers. To be published in the J. Fluid Mech.
Koch, W.: Local instability characteristics and frequency determination of self-excited wake flows. J. Sound & Vibr. 99 (1985) 53–83.
Gaster, M.: On transition to turbulence in boundary layers. In: Transition and turbulence. Meyer, R.E. (ed.). Proc. Univ. of Wisconsin Meeting. New York: Academic Press 1981.
Gaster, M.; Grant, I.: An experimental investigation of the formation and development of a wave packet in a laminar boundary layer. Proc. Roy. Soc. A 347 (1975) 253.
Mattingly, G.E.; and Criminale, W.O.: The stability of an incompressible two-dimensional wake. J. Fluid Mech. 51 (1972) 233–272.
Michalke, A.: Instabilitat eines kompressiblen run den Freistrahls unter Berucksichtigung des Einflusses der Stahlgrenzschichtdicke. Z. Flugwiss. 19 (1971) 319–328.
Kline, S.J.; Reynolds, W.C.; Schraub, F.A.; Runstadler, P.W.: The structure of turbulent boundary layers. J. Fluid Mech. 30 (1967) 741–773.
Jang, P.S.; Benney, D.J.; Chen, Y.M.: Origin of streamwise vortices in turbulent boundary layers. Bull. Am. Phys. Soc., Ser. II Vol. 29 No.9 Paper BB8 (1984) 1528.
Also: Jang, P.S.; Benney, D.J.; Gran, R.L.: On the origin of streamwise vortices in a turbulent boundary layer. Report March 1985, Dynamics Technology, Inc., 21311 Hawthorne Blvd., Suite 300, Torrance, Cal.90503, USA.
Bushnell, D.M.: Turbulent drag reduction for external flows. AIAA 21st Aerospace Science Meeting, Reno, Nevada, January 10–13, 1983, AIAAPaper, No. 83–0227.
Walsh, M.J.: Turbulent boundary layer drag reduction using riblets. AIAA 20th Aerospace Sciences Meeting, Orlando, Florida, January 11–14, 1982, AIAA-Paper, No. 82–0169.
Bechert, D.W.; Hoppe, G.; Reif, W.-E.: On the drag reduction of the shark skin. AIAA Shear Flow Control Conference, Boulder, Col., March 12–14, 1985.
Strykowski, P.J.; Srinivasan, K.R.: Control of vortex shedding behind bluff bodies. 5th Symposium on turbulent shear flows, Ithaca, N.Y., Cornell University, August 7–9, 1985.
Tam, C.K.W.: The excitation of Tollmien-Schlichting waves in low subsonic boundary layers by free-stream sound waves. J. Fluid Mech. 109 (1981) 483–501.
Goldstein, M.E.: The evolution of Tollmien-Schlichting waves near a leading edge. J. Fluid Mech. 127 (1983) 59–81.
Murdock, J.W.: The generation of a Tollmien-Schlichting wave by a sound wave. Proc. Roy. Soc. A 372 (1980) 517–534.
Shapiro, P.: The influence of sound upon laminar boundary layer instability. Massachusetts Institute of Technology: Acoustics and Vibration Lab. (1977) Rep. No. 83458–83560-1.
Goldstein, M.E.: Scattering of acoustic waves into Tollmien-Schlichting waves by small streamwise variations in surface geometry. To be published in the J. Fluid Mech.
Gedney, C.J.: The response of a laminar boundary layer to sound and wall vibration. Massachusetts Institute of Technology: Acoustics and Vibration Lab. (1983) Rep. No. 83560–3.
Ahuja, K.K.; Whipkey, R.R.; Jones, G.S.: Control of turbulent boundary layer flows by sound. AIAA 8th Aeroacoustics Conference; Atlanta, Georgia, April 11–13,1983 AIAA-Paper 83–0726.
Goldstein, M.E.: Generation of instability waves in flows separating from smooth surfaces. J. Fluid Mech. 145 (1984) 71–94.
Bechert, D.W.; Michel, U.: The control of a thin free shear layer with and without a semi-infinite plate by a pulsating flow field. ACUSTICA 33 (1975) 287–307.
Bechert, D.W.: Excited waves in shear layers. DFVLR-FB 82–23 (1982). See also: A model of the excitation of large scale fluctuations in a shear layer. AIAA-Paper 83–0724 (1983).
Michalke, A.: On the motion of weakly disturbed plane vortex sheets. Submitted to the J. Fluid Mech.
Michalke, A.: Survey on jet instability theory. Prog. Aerospace Sci. 21 (1984) 159–199.
Bechert, D.W.; Stahl, B.: Shear layer excitation, experiment versus theory. DFVLR-FB 84–26 (1984).
Bechert, D.W.; Pfizenmaier, E.: Optical compensation measurements on the unsteady exit condition at a nozzle discharge edge. J. Fluid Mech. 71 (1975) 123–144.
Crighton, D.G.: The Kutta condition in unsteady flow. Ann. Rev. Fluid Mech. 17 (1985) 411–445.
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© 1986 Springer, Berlin Heidelberg
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Bechert, D.W. (1986). Excitation of Instability Waves. In: Comte-Bellot, G., Williams, J.E.F. (eds) Aero- and Hydro-Acoustics. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82758-7_34
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DOI: https://doi.org/10.1007/978-3-642-82758-7_34
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