Reynolds-number-independent instability of the boundary layer over a flat surface: Optimal perturbations

Journal of Fluid Mechanics

Volumn 404, Issue , 2000, Pages 289-309

  Luchini, Paolo ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER; INSTABILITY; MATHEMATICAL METHOD;

EID: 0033912908     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099007259     Document Type: Article

References (38)

1. ANDERSSON, P., BERGGREN, M. & HENNINGSON, D. S. 1998a, Optimal disturbances in boundary layers. Proc. AFOSR Workshop on Optimal Design and Control, Arlington VA, USA, 30 Sept.-3 Oct. 1997 (ed. J. T. Borggaard, J. Burns, E. Cliff & S. Schreck) Birkhauser, Boston.
2. ANDERSSON, P., BERGGREN, M. & HENNINGSON, D. S. 1998b Optimal three-dimensional perturbations in the Blasius boundary layer. 7th European Turbulence Conference, Saint Jean Cap Ferrat, France, 30 June-3 July.
3. ANDERSSON, P., BERGGREN, M. & HENNINGSON, D. S. 1998c Optimal three-dimensional perturbations in the Blasius boundary layer. EUROMECH 380 Colloquium on Laminar Turbulent Transition Mechanisms and Prediction, Göttingen, Germany, 14-17 Sept.
4. ANDERSSON, P., BERGGREN, M. & HENNINGSON, D. S. 1999a Optimal disturbances and bypass transition in boundary layers. Phys. Fluids 11, 134-150.
5. ANDERSSON, P., BERGGREN, M. & HENNINGSON, D. S. 1999b Optimal three-dimensional perturbations in the Blasius boundary layer. COST/ERCOFTAC Transition Modelling SIG Workshop, Cambridge, UK, 25-26 Mar.
6. ANDERSSON, P., BERGGREN, M. & HENNINGSON, D. S. 1999c Optimal three-dimensional perturbations in the Blasius boundary layer. ERCOFTAC Workshop on Adjoint Methods, Toulouse, France, 21-23 June.
7. ANDERSSON, P., BERGGREN, M. & HENNINGSON, D. S. 1999d Optimal three-dimensional perturbations in the Blasius boundary layer. IUTAM Symposium on Laminar-Turbulent Transition, Sedona AZ, USA, 13-17 Sept.
8. BAGGETT, J. S., DRISCOLL, T. A. & TREFETHEN, L. N. 1995 A mostly linear model of transition to turbulence. Phys. Fluids 7, 833-838.
9. BAGGETT, J. S. & TREFETHEN, L. N. 1997 Low-dimensional models of subcritical transition to turbulence. Phys. Fluids 9, 1043-1053.
10. BOBERG, L. & BROSA, U. 1988 Onset of turbulence in a pipe. Z. Natursforschung 43a, 697-726.
11. BUTLER, K. M. & FARRELL, B. F. 1992 Three-dimensional optimal perturbations in viscous shear flow. Phys. Fluids A 4, 1637-1650.
12. COSSU, C., COSTA, M. & CHOMAZ, J. M. 1998 Maximum spatial growth of Görtler vortices. EUROMECH 380 Colloquium on Laminar-Turbulent Transition Mechanisms and Prediction, Göttingen, 14-17 Sept.
13. CROW, S. C. 1966 The spanwise perturbations of two-dimensional boundary layers. J. Fluid Mech. 24, 153-164.
14. ELLINGSEN, T. & PALM, E. 1975 Stability of linear flow. Phys. Fluids 18, 487-488.
15. GEBHARDT, T. & GROSSMANN, F. 1994 Chaos transition despite linear stability. Phys. Rev. E 50, 3705-3711.
16. GOLDSTEIN, M. E., LEIB, S. J. & COWLEY, S. J. 1992 Distortion of a flat-plate boundary layer by free-stream vorticity normal to the plate. J. Fluid Mech. 237, 231-260.
17. GUSTAVSSON, L. H. 1991 Energy growth of three-dimensional disturbances in plane Poiseuille flow. J. Fluid Mech. 224, 241-260.
18. HAMILTON, J. M., KIM, J. & WALEFFE, F. 1995 Regeneration mechanisms of near-wall turbulent structures. J. Fluid Mech. 287, 317-348.
19. 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, 169-207.
20. HULTGREN, L. S. & GUSTAVSSON, L. H. 1981 Algebraic growth of disturbances in a laminar boundary layer. Phys. Fluids 24, 1000-1004.
21. KLEBANOFF, P. S., TIDSTROM, K. D. & SARGENT, L. M. 1962 The three-dimensional nature of boundary-layer instability. J. Fluid Mech. 12, 1-34.
22. LANDAHL, M. T. 1980 A note on an algebraic instability of inviscid parallel shear flows. J. Fluid Mech. 98, 243-251.
23. LIBBY, P. A. & FOX, H. 1964 Some perturbation solutions in laminar boundary-layer theory. J. Fluid Mech. 17, 433-449.
24. LUCHINI, P. 1996 Reynolds-number independent instability of the boundary layer over a flat surface. J. Fluid Mech. 327, 101-115 (referred to herein as L96).
25. LUCHINI, P. & BOTTARO, A. 1996 Görtler vortices: a backward-in-time approach to the receptivity problem. 49th Annual Meeting of the American Physical Society - Division of Fluid Dynamics, Syracuse, N.Y., 24-26 Nov. 1996. Abstract in Bull. Am. Phys. Soc. 41, 1788 (referred to herein as LB).
26. LUCHINI, P. & BOTTARO, A. 1998 Görtier vortices: a backward-in-time approach to the receptivity problem. J. Fluid Mech. 363, 1-23 (referred to herein as LB).
27. LUNDBLADH, A. & JOHANSSON A.V. 1991 Direct simulation of turbulent spots in plane Couette flow. J. Fluid Mech. 229, 499-516.
28. MORKOVIN, M. V. 1968 Critical evaluation of transition from laminar to turbulent shear layer with emphasis on hypersonically travelling bodies. AFFDL Tech. Rep. 68-149.
29. MORKOVIN, M. V. 1984 Bypass transition to turbulence and research desiderata. In Transition in Turbines, pp. 161-204. NASA Conf. Pub. 2386.
30. MORKOVIN, M. V. & RESHOTKO, E. 1990 Dialogue on progress and issues in stability and transition research. In Laminar-Turbulent Transition (ed. D. Arnal & R. Michel), pp. 3-29. Springer.
31. REDDY, S. C. & HENNINGSON, D. S. 1993 Energy growth in viscous channel flow. J. Fluid Mech. 252, 57-70.
32. STEWARTSON, K. 1957 On asymptotic expansion in the theory of boundary layer. J. Math. Phys. 36, 137.
33. TAYLOR, G. I. 1939 Some recent developments in the study of turbulence. Proc. Fifth Intl Cong. for Applied Mechanics, Cambridge, MA, USA, Sept. 12-16, 1938 (ed. J. P. den Hartog & H. Peters), pp. 294-310. Wiley.
34. TING, L. 1965 On the initial conditions for boundary layer equations. J. Math. Phys. 44, 353.
35. TREFETHEN, L. N., TREFETHEN, A. E., REDDY, S. C. & DRISCOLL, T. A. 1993 Hydrodynamic stability without eigenvalues. Science 261, 578-584.
36. TUMIN, A. 1998 A model of the Blasius boundary layer response to free-stream vorticity. EUROMECH 380 Colloquium on Laminar-Turbulent Transition Mechanisms and Prediction, Göttingen, 14-17 Sept.
37. WESTIN, K. J. A. 1997 Laminar-turbulent boundary layer transition influenced by free stream turbulence. Doctoral thesis, Department of Mechanics, Royal Institute of Technology, Stockholm, Sweden.
38. 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, 193-218.