A nonlinear mechanism for receptivity of free-stream disturbances

Physics of Fluids

Volumn 11, Issue 12, 1999, Pages 3749-3760

  Berlin, S ^a   Henningson, D S ^a,b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b Aeronautical Research Institute of Sweden   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001414183     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870237     Document Type: Article

References (54)

1. W. Tollmien, "Über die entstehung der turbulenz," Nachr. Ges. Wiss. Göttingen, 1929, pp. 21-44 (English translation NACA TM 609, 1931).
2. H. Schlichting, "Zur entstehung der turbulenz bei der plattenströmung," Nachr. Ges. Wiss. Göttingen, 1933, pp. 181-208.
3. T. Herbert, "Secondary instability of boundary layers," Annu. Rev. Fluid Mech. 20, 487 (1988).
4. Yu S. Kachanov, "Physical mechanisms of laminar-boundary-layer transition," Annu. Rev. Fluid Mech. 26, 411 (1994).
5. L. Kleiser and T. A. Zang, "Numerical simulation of transition in wall-bounded shear flows," Annu. Rev. Fluid Mech. 23, 495 (1991).
6. M. V. Morkovin, "The many faces of transition," in Viscous Drag Reduction, edited by C. S. Wells (Plenum, New York, 1969).
7. L. H. Gustavsson, "Energy growth of three-dimensional disturbances in plane Poiseuille flow," J. Fluid Mech. 224, 241 (1991).
8. K. M. Butler and B. F. Farrell, "Three-dimensional optimal perturbations in viscous shear flow," Phys. Fluids A 4, 1637 (1992).
9. S. C. Reddy and D. S. Henningson, "Energy growth in viscous channel flows," J. Fluid Mech. 252, 209 (1993).
10. L. N. Trefethen, A. E. Trefethen, S. C. Reddy, and T. A. Driscoll, "Hydrodynamic stability without eigenvalues," Science 261, 578 (1993).
11. S. C. Reddy, P. J. Schmid, P. J. Bagget, and D. S. Henningson, "On stability of streamwise streaks and transition thresholds in plane channel flows," J. Fluid Mech. 365, 269 (1998).
12. P. J. Schmid and D. S. Henningson, "A new mechanism for rapid transition involving a pair of oblique waves," Phys. Fluids A 4, 1986 (1992).
13. R. D. Joslin, C. L. Streett, and C. L. Chang, "Oblique wave breakdown in an incompressible boundary layer computed by spatial DNS and PSE theory," in Ref. 18, pp. 304-310.
14. R. D. Joslin, C. L. Streett, and C. L. Chang, "Spatial direct numerical simulations of boundary-layer transition mechanisms: Validation of PSE theory," Theor. Comput. Fluid Dyn. 4, 271 (1993).
15. S. Berlin, A. Lundbladh, and D. S. Henningson, "Spatial simulations of oblique transition," Phys. Fluids 6, 1949 (1994).
16. P. J. Schmid, S. C. Reddy, and D. S. Henningson, "Transition thresholds in boundary layer and channel flow," in Advances in Turbulence VI, edited by S. Gavrilakis, L. Machiels, and P. A. Monkewitz (Kluwer Academic, New York, 1996), pp. 381-384.
17. H. Fasel and A. Thumm, "Direct numerical simulation of three-dimensional breakdown in supersonic boundary layer transition," Bull. Am. Phys. Soc. 36, 2701 (1991).
18. C.-L. Chang and M. R. Malik, "Oblique-mode breakdown and secondary instability in a supersonic boundary layers using nonlinear PSE," in Instability, Transition and Turbulence, edited by M. Y. Hussaini, A. Kumar, and C. L. Streett, (Springer-Verlag, Berlin, 1992), pp. 231-241.
19. C-L. Chang and M. R. Malik, "Oblique-mode breakdown and secondary instability in supersonic boundary layers," J. Fluid Mech. 273, 323 (1994).
20. H. Fasel, A. Thumm, and H. Bestek, "Direct numerical simulation of transition in supersonic boundary layers: Oblique breakdown," in Transitional and Turbulent Compressible Flows, edited by L. D. Kral and T. A. Zang (ASME, Bellingham, WA, 1993), pp. 77-92.
21. N. D. Sandham, N. A. Adams, and L. Kleiser, "Direct simulation of breakdown to turbulence following oblique instability waves in a supersonic boundary layer," 1st ERCOFTAC Workshop on Direct and Large Eddy Simulation, Guildford, England, 28-30 March, 1994.
22. P. A. Elofsson and P. H. Alfredsson, "An experimental study of oblique transition in plane poiseuille flow," J. Fluid Mech. 358, 177 (1998).
23. M. Wiegel, "Experimentelle untersuchung von kontrolliert angeregten dreidimensionalen wellen in einer Blasius-Grenszchicht," Ph.D. thesis, Der Fakultät für Maschinenwesen der Universität Hannover, Hannover, Germany, 1996. Also available as VDI Fortschritt-Bericht Reihe 7, 1997, Vol. 312.
24. P. A. Elofsson, "Experiment on oblique transition in wall bounded shear flows," Ph.D. thesis, Royal Institute of Technology, Stockholm, Sweden, 1998.
25. S. Berlin, M. Wiegel, and D. S. Henningson, "Numerical and experimental investigation of oblique boundary layer transition," J. Fluid Mech. 393, 23-57 (1999).
26. P. A. Elofsson and A. Lundbladh, "Ribbon induced oblique transition in plane Poiseulle flow," in Bypass Transition - Proceedings From a Mini-Workshop, edited by D. S. Henningson TRITA-MEK Technical Report 1994:14, Royal Institute of Technology, Stockholm, Sweden, 1994, pp. 29-41.
27. M. E. Goldstein and L. S. Hultgren, "Boundary-layer receptivity to longwave free-stream disturbances," Annu. Rev. Fluid Mech. 21, 137 (1989).
28. E. J. Kerschen, "Boundary layer receptivity theory," Appl. Mech. Rev. 43, S152 (1990); E. J. Kerschen, "Experimental study of disturbances produced in a pre-transitional laminar boundary layer by weak freestream turbulence," AIAA Paper No. 85-1695, 1985.
29. E. J. Kerschen, "Boundary layer receptivity theory," Appl. Mech. Rev. 43, S152 (1990); E. J. Kerschen, "Experimental study of disturbances produced in a pre-transitional laminar boundary layer by weak freestream turbulence," AIAA Paper No. 85-1695, 1985.
30. M. Nishioka and M. V. Morkovin, "Boundary-layer receptivity to unsteady pressure gradients: experiment and overview," J. Fluid Mech. 171, 219 (1986).
31. N. Lin, H. L. Reed, and W. S. Saric, "Effect of leading-edge geometry on boundary-layer receptivity to freestream sound," in Ref. 18, pp. 356-366.
32. T. A. Buter and H. L. Reed, "Boundary layer receptivity to free-stream vorticity," Phys. Fluids 6, 3368 (1994).
33. P. S. Klebanoff, "Effect of freestream turbulence on the laminar boundary layer," Bull. Am. Phys. Soc. 10, 1323 (1971).
34. J. M. Kendall, "Experimental study of disturbances produced in a pre-transitional laminar boundary layer by weak freestream turbulence," AIAA Paper No. 85-1695, 1985.
35. K. J. A. Westin, A. V. Boiko, B. G. B. Klingmann, V. V. Kozlov, and P. H. Alfredsson, "Experiments in a boundary layer subject to free-stream turbulence. Part I: Boundary layer structure and receptivity," J. Fluid Mech. 281, 193 (1994).
36. Z. Y. Yang and P. R. Yoke, "Large-eddy simulation of transition under turbulence," Technical Report No. ME-FD/93.12, University of Surrey, Dept. Mech. Eng, 1993.
37. J. M. Kendall, "Boundary layer receptivity to freestream turbulence," AIAA Paper No. 90-1504, 1990.
38. M. Choundhari, "Boundary-layer receptivity to three-dimensional unsteady vortical disturbances in free stream," AIAA Paper No. 96-0181, 1996.
39. F. P. Bertolotti, "Response of the Blasius boundary layer to free-stream vorticity," Phys. Fluids 9, 2286 (1997).
40. Y.-C. Su and T. Herbert, "Receptivity to freestream turbulence in asymptotic suction flow," Bull. Am. Phys. Soc. 43, 1994 (1998).
41. S. C. Crow, "The spanwise perturbation of two-dimensional boundary layers," J. Fluid Mech. 24, 153 (1966).
42. P. Luchini, "Reynolds number independent instability of the Blasius boundary layer over a flat surface," J. Fluid Mech. 327, 101 (1996).
43. A. Tumin, "A model of the blasius boundary layer response to free-stream vorticity," EUROMECH Colloquim 380, Göttingen, 1998.
44. P. Andersson, M. Berggren, and D. S. Henningson, "Optimal disturbances and bypass transition in boundary layers," Phys. Fluids 11, 134 (1999).
45. P. Luchini, "Reynolds number independent instability of the Blasius boundary layer over a flat surface, part 2: optimal perturbations," submitted to J. Fluid Mech.
46. M. F. Blair, "Boundary-layer transition in accelerating flows with intense freestream turbulence: Part 1 disturbances upstream of transition onset," J. Fluids Eng. 114, 313 (1992).
47. A. V. Boiko, K. J. A. Westin, B. G. B. Klingmann, V. V. Kozlov, and P. H. Alfredsson, "Experiments in a boundary layer subject to free-stream turbulence. Part II: The role of TS-waves in the transition process," J. Fluid Mech. 281, 219 (1994).
48. A. Lundbladh, D. S. Henningson, and A. V. Johansson, "An efficient spectral integration method for the solution of the Navier-Stokes equations," FFA-TN 1992-28, Aeronautical Research Institute of Sweden, Bromma, 1992.
49. A. Lundbladh, P. J. Schmid, S. Berlin, and D. S. Henningson, "Simulation of bypass transition in spatially evolving flows," Proceedings of the AGARD Symposium on Application of Direct and Large Eddy Simulation to Transition and Turbulence, AGARD-CP-551, 1994.
50. J. Kim, P. Moin, and R. Moser, "Turbulence statistics in fully developed channel flow," J. Fluid Mech. 177, 133 (1987).
51. M. R. Malik, T. A. Zang, and M. Y. Hussaini, "A spectral collocation method for the Navier-Stokes equations," J. Comput. Phys. 61, 64 (1985).
52. P. R. Spalart and K. Yang, "Numerical study of ribbon induced transition in Blasius flow," J. Fluid Mech. 178, 345 (1987).
53. F. P. Bertolotti, T. Herbert, and P. R. Spalart, "Linear and nonlinear stability of the Blasius boundary layer," J. Fluid Mech. 242, 441 (1992).
54. L. S. Hultgren and L. H. Gustavsson, "Algebraic growth of disturbances in a laminar boundary layer," Phys. Fluids 24, 1000 (1981).