Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-13T01:39:59.215Z Has data issue: false hasContentIssue false

Experiments in a boundary layer subjected to free stream turbulence. Part 2. The role of TS-waves in the transition process

Published online by Cambridge University Press:  26 April 2006

A. V. Boiko
Affiliation:
Department of Theoretical and Applied Mechanics, Russian Academy of Sciences, Siberian Branch, 630090 Novosibirsk, Russia
K. J. A. Westin
Affiliation:
Department of Mechanics/Fluid Physics, Royal Institute of Technology, S-10044 Stockholm, Sweden
B. G. B. Klingmann
Affiliation:
Department of Mechanics/Fluid Physics, Royal Institute of Technology, S-10044 Stockholm, Sweden Present address: Volvo Aerospace Corp., Space Propulsion Division, S-461 81 Trollhättan, Sweden.
V. V. Kozlov
Affiliation:
Department of Theoretical and Applied Mechanics, Russian Academy of Sciences, Siberian Branch, 630090 Novosibirsk, Russia
P. H. Alfredsson
Affiliation:
Department of Mechanics/Fluid Physics, Royal Institute of Technology, S-10044 Stockholm, Sweden

Abstract

The natural occurrence of Tollmien-Schlichting (TS) waves has so far only been observed in boundary layers subjected to moderate levels of free stream turbulence (Tu < 1%), owing to the difficulty in detecting small-amplitude waves in highly perturbed boundary layers. By introducing controlled oscillations with a vibrating ribbon, it is possible to study small-amplitude waves using phase-selective filtering techniques. In the present work, the effect of TS-waves on the transition is studied at Tu = 1.5%. It is demonstrated that TS-waves can exist and develop in a similar way as in an undisturbed boundary layer. It is also found that TS-waves with quite small amplitudes are involved in nonlinear interactions which lead to a regeneration of TS-waves in the whole unstable frequency band. This results in a significant increase in the number of turbulent spots, which promote the onset of turbulence.

Type
Research Article
Copyright
© 1994 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Arnal, D. & Juillen, J. C. 1978 Contribution expérimentale à l’etude de la receptivité d’une couche limite laminaire, à la turbulence de l’écoulement general. ONERA Rapport Technique No 1/5018 AYD, June 1978.
Bakchinov, A. A., Grek, G. R., Klingmann, B. G. B. & Kozlov, V. V. 1994 Transition experiments in a spanwise-modulated boundary layer. Phys. Fluids (accepted).Google Scholar
Bertolotti, F. P., Herbert, T. & Spalart, P. R. 1992 Linear and nonlinear stability of the Blasius boundary layer. J. Fluid Mech. 242, 441474.Google Scholar
Blair, M. F. 1992 Boundary-layer transition in accelerating flows with intense freestream turbulence: Part 1 – Disturbances upstream of transition onset. Trans. ASME I: J. Fluids Engng 114, 313321.Google Scholar
Breuer, K. S. & Haritonidis, J. H. 1990 The evolution of a localized disturbance in a laminar boundary layer. Part 1. Weak disturbances. J. Fluid Mech. 220, 569594.Google Scholar
Cohen, J., Breuer, K. S. & Haritonidis, J. H. 1991 On the evolution of a wave packet in a laminar boundary layer. J. Fluid Mech. 225, 575606.Google Scholar
Corke, T. C. & Mangano, R. A. 1989 Resonant growth of three-dimensional modes in transitioning Blasius boundary layers. J. Fluid Mech. 209, 93150Google Scholar
Fasel, H. 1990 Numerical simulation of instability and transition in boundary layer flows. In Laminar-Turbulent Transition 3 (ed. D. Arnal & R. Michel), pp. 587598. Springer.
Gaster, M. 1990 The nonlinear phase of wave growth leading to chaos and breakdown to turbulence in a boundary layer as an example of an open system. Proc. R. Soc. Lond. A 430, 324.Google Scholar
Gaster, M. & Grant, I. 1975 An experimental investigation of the formation and development of a wave packet in a laminar boundary layer. Proc. R. Soc. Lond. A 347, 253269.Google Scholar
Grek, H. R., Dey, J., Kozlov, V. V., Ramazanov, M. P. & Tuchto, O. N. 1991a Experimental analysis of the process of the formation of turbulence in the boundary layer at higher degree of turbulence of windstream. Rep. 91-FM-2, Indian Inst. Science, Bangalore, 560012, India.
Grek, H. R. & Kozlov, V. V. 1992 Interactions between Tollmien-Schlichting waves and localized disturbances. Siberian Phys.-Tech. J. 5, 6876. (in Russian).Google Scholar
Grek, H. R., Kozlov, V. V. & Ramazanov, M. P. 1985 Three types of disturbances from the point source in the boundary layer. In Laminar-Turbulent Transition 2 (ed. V. V. Kozlov), pp. 267272. Springer.
Grek, H. R., Kozlov, V. V. & Ramazanov, M. P. 1987 Laminar-turbulent transition in the presence of a high level of free-stream turbulence. Preprint No. 8–87, USSR Academy of Sciences, Institute of Theor. and Appl. Mechanics, Novosibirsk (in Russian, English transl. 1988 in Fluid Dyn. 23:6, 829834).
Grek, H. R., Kozlov, V. V. & Ramazanov, M. P. 1989 Investigation of boundary layer stability in the presence of a high degree of free-stream turbulence. In Proc. of Intl Seminar on Problems of Wind Tunnel Modeling, Vol I. Novosibirsk (in Russian).
Grek, H. R., Kozlov, V. V. & Ramazanov, M. P. 1990a Investigation of boundary layer stability in a gradient flow with a high degree of free-stream turbulence. Izv. Akad. Nauk SSSR, Mekh. Zhid. Gaza 2, 5258 (in Russian, English transl. 1990 in Fluid Dyn. 25:2, 152–156).Google Scholar
Grek, H. R., Kozlov, V. V. & Ramazanov, M. P. 1990b Receptivity and stability of the boundary layer at a high turbulence level. In Laminar-Turbulent Transition 3 (ed. D. Arnal & R. Michel), pp. 511521. Springer.
Grek, H. R., Kozlov, V. V. & Ramazanov, M. P. 1991b Laminar-turbulent transition at a high free stream turbulence level. Siberian Phys.-Tech. J. 6, 106138 (in Russian).Google Scholar
Gulyaev, A. N., Kozlov, V. E., Kuznetsov, V. R., Mineev, B. I. & Sekundov, A. N. 1989 Interaction of a laminar boundary layer with external turbulence. Izv. Akad. Nauk SSSR, Mekh. Zhid. Gaza 5, 5565. (in Russian, English transl. 1990 in Fluid Dyn. 24:5, 700–710).Google Scholar
Henningson, D. S., Lundbladh, A. & Johansson, A. V. 1993 A mechanism for bypass transition from localized disturbances in wall-bounded shear flows. J. Fluid Mech. 250, 169207.Google Scholar
Jordinson, R. 1970 The flat plate boundary layer. Part 1. Numerical integration of the Orr- Sommerfeld equation. J. Fluid Mech. 43, 801811.Google Scholar
Kachanov, Y. S. 1987 On the resonant nature of the breakdown of a laminar boundary layer. J. Fluid Mech. 184, 4374.Google Scholar
Kachanov, Y. S. 1994 Physical mechanisms of laminar-boundary-layer transition Ann. Rev. Fluid Mech. 26, 411482.Google Scholar
Kachanov, Y. S. & Levchenko, V. Y. 1984 The resonant interaction of disturbances at laminar-turbulent transition in a boundary layer. J. Fluid Mech. 138, 209247.Google Scholar
Kachanov, Y. S. & Tararykin, O. I. 1987 Experimental investigations of an relaxating boundary layer. Izv. SO Akad. Nauk SSSR, Tech. Nauk 18:5, 9–19 (in Russian).Google Scholar
Kendall, J. M. 1985 Experimental study of disturbances produced in a pre-transitional laminar boundary layer by weak freestream turbulence. AIAA Paper 85-1695.
Kendall, J. M. 1990 Boundary layer receptivity to freestream turbulence. AIAA Paper 90-1504.
Kendall, J. M. 1991 Studies on laminar boundary layer receptivity to freestream turbulence near a leading edge. In Boundary Layer Stability and Transition to Turbulence (ed. D. C. Reda, H. L. Reed & R. Kobayashi), ASME FED 114, 2330.
Klebanoff, P. S., Tidstrom, K. D. & Sargent, L. M. 1962 The three-dimensional nature of boundary-layer instability. J. Fluid Mech. 12, 134.Google Scholar
Klingmann, B. G. B. 1992 On transition due to three-dimensional disturbances in plane Poiseuille flow. J. Fluid Mech. 240, 167195.Google Scholar
Klingmann, B. G. B., Boiko, A. V., Westin, K. J. A., Kozlov, V. V. & Alfredsson, P. H. 1993 Experiments on the stability of Tollmien-Schlichting waves. Eur. J. Mech./B Fluids 12, 493514.Google Scholar
Konzelmann, U. 1990 Numerische Untersuchungen zur räumlichen Entwicklung dreidimensionaler Wellenpakete in einer Plattengrenzschichtsströmung. PhD thesis, Inst. A für Mechanik der Universität Stuttgart.
Kosorygin, V. S. & Polyakov, N. PH. 1990 Laminar boundary layers in turbulent flows. In Laminar-Turbulent Transition 3 (ed. D. Arnal & R. Michel), pp. 573578. Springer.
Kozlov, V. E., Kuznetsov, V. R., Mineev, B. I. & Sekundov, A. N. 1990 The influence of free-stream turbulence and surface ribbing on the characteristics of a transitional boundary layer. In Near-Wall Turbulence. Proc. of 1988 Zorian Zaric Mem. Conf. (ed. S. J. Kline & N. H. Afgan), pp. 172189. Hemisphere.
Morkovin, M. V. 1984 Bypass transition to turbulence and research desiderata. In Transition in Turbines. NASA Conf. Publ. 2386, pp. 161204.
Rai, M. M. & Moin, P. 1991 Direct simulation of transition and turbulence in a spatially evolving boundary layer. AIAA Paper 91-1607-CP.
Schubauer, G. B. & Skramstad, H. K. 1948 Laminar boundary layer oscillations and transition on a flat plate. NACA Rep. 909.
Suder, K. L., O'Brien, J. E. & Reshotko, E. 1988 Experimental study of bypass transition in a boundary layer. NASA Tech. Mem. 100913.
Westin, K. J. A., Boiko, A. V., Klingmann, B. G. B., Kozlov, V. V. & Alfredsson, P. H. 1994 Experiments in a boundary layer subjected to free stream turbulence. Part 1. Boundary layer structure and receptivity. J. Fluid Mech. 281, 193218.Google Scholar
Zelman, M. B. & Maslennikova, I. I. 1993 Tollmien-Schlichting-wave resonant mechanism for subharmonic-type transition. J. Fluid Mech. 252, 449478.Google Scholar