Response of the Blasius boundary layer to free-stream vorticity

Physics of Fluids

Volumn 9, Issue 8, 1997, Pages 2286-2299

  Bertolotti, F P ^a  

^a Inst fur Stromungsmechanik   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER; NAVIER-STOKES EQUATIONS; TURBULENCE; VORTICITY;

EID: 0031450145     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869350     Document Type: Article

References (44)

1. J. M. Kendall. "Boundary-layer receptivity to freestream turbulence," AIAA Paper 90-1504 (1990).
2. J. M. Kendall, "Boundary layer receptivity to weak freestream turbulence," in Proceedings of the End-Stage Transition Workshop. (NASA, 1993).
3. P. Bradshaw, "The effect of wind-tunnel screens on nominally two-dimensional boundary layers," J. Fluid Mech. 22, 670 (1965).
4. P. S. Klebanoff and K. D. Tidstrom, "Evolution of amplified waves leading to transition in a boundary-layer with zero pressure gradient," NASA Tech. Note D-195 (1959).
5. S. C. Crow, "The spanwise perturbation of two-dimensional boundary layers," J. Fluid Mech. 24, 153 (1966).
6. C. E. Grosch and H. Salwen, "The continuous spectrum of the Orr-Sommerfeld equation. Part 1. The spectrum and the eigenfunctions," J. Fluid Mech. 87, 33 (1978).
7. E. J. Kerschen. "Boundary layer receptivity theory," Appl. Mech. Rev. 24(5), S152 (1990).
8. M. Choudhari, "Boundary-layer receptivity to three-dimensional unsteady vertical disturbances in free stream," AIAA Paper 96-0181 (1996).
9. M. E. Goldstein, S. J. Leib, and S. J. Cowley, "Distortion of a flat-plate boundary layer by free-stream vorticity normal to the plate," J. Fluid Mech. 237, 231 (1992).
10. M. E. Goldstein and S. J. Leib. "Three-dimensional boundary-layer instability and seperation induced by small-amplitude stremwise vorticity in the upstream flow," J. Fluid Mech. 246, 21 (1993).
11. J. M. Kendall, "Experimental study of disturbances produced in a pretransitional laminar boundary layer by weak free stream turbulence," AIAA Paper 85-1695 (1985).
12. A. V. Westin, B. G. B. Boiko, G. B. Klingmann, V. V. Kozlov, and P. H. Alfredsson, "Experiments in a boundary layer subjected to free stream turbulence. Part 1. boundary layer strucrture and receptivity." J. Fluid Mech. 281, 193 (1994).
13. Y. S. Kachanov, V. V. Kozlov, and V. Y. Levchenko, "Origin of Tollmien-Schlichting waves in boundary layer under the influence of external disturbances," Izv. Akad. Nauk. SSSR, Mekh. Zhidk. Gaza 5, 85 (1977) [translated in Fluid Dyn. 13, 704 (1979)].
14. Y. S. Kachanov, V. V. Kozlov, and V. Y. Levchenko, "Origin of Tollmien-Schlichting waves in boundary layer under the influence of external disturbances," Izv. Akad. Nauk. SSSR, Mekh. Zhidk. Gaza 5, 85 (1977) [translated in Fluid Dyn. 13, 704 (1979)].
15. Y. S. Kachanov, V. V. Kozlov and V. Y. Levchenko, "Beginning of turbulence in boundary-layers," Technical report, Nauka, Siberian Div. (1982) (in Russian).
16. M. Nishioka and M. V. Morkovin, "Boundary-layer receptivity to unsteady pressure gradients: experiments and overview," J. Fluid Mech. 171, 219 (1986).
17. J. M. Kendall, "Studies on Iaminar boundary-layer receptivity to freestrearn turbulence near a leading edge," ASME Technical Report FED-Vol 114, Boundary Layer Stability and Transition to Turbulence (1991).
18. F. P. Bertolotti, Th. Herbert, and P. R. Spalart, "Linear and nonlinear stabitlity of the Blasius boundary layer." J. Fluid Mech. 242, 441 (1992).
19. Th. Herbert, "Parabolized stabiltiy equations," in Progress in Transition Modelling, AGARD Report 793 (1994).
20. A. M. van Dyke, Perturbation Methods in Fluid Mechanics (Parabolic, Stanford, 1975).
21. H. L. Rogler and E. Reshotko, "Spatially decaying array of vortices," Phys. Fluids 19, 1843 (1976).
22. J. Böttcher and E. Wedemeyer, "The flow downstream of screens and its influence on the flow in the stagnation region of cylindrical bodies," J. Fluid Mech. 204, 501 (1989).
23. P. Hall, "The linear development of Görtler vortices in growing boudary layers," J. Fluid Mech. 130, 41 (1983).
24. F. P. Bertolotti and J. D. Crouch, "Simulatino of boundary-layer transition: receptivity to spike stage," In Proceedings First European Comp. Fluid Dynamics Conference Brussels, Belgium (1992) (Elsevier Science, Amsterdam, 1992), pp. 183-190.
25. F. P. Bertolotti, "Transition modelling based on the pse," in Transition and Turbulence Modelling (Kluwer, Dordrecht 1996).
26. F. P. Bertolotti, Linear and Nonlinear Stability of Boundary Layers with Streamwise Varying Properties, Ph.D. thesis, The Ohio State University, 1991 (Th. Herbert, advisor).
27. F. P. Bertolotti, "Vortex generation and wave-vortex interaction over a concave plate with roughness and suction," ICASE Report 93-101, NASA Langley (1993).
28. Th. Herbert and N. L. Lin, "Studies of boundary-layer receptivity with parabolized stabilty equations" AIAA Paper 93-3053 (1993).
29. D. S. Henningson and S. C. Reddy, "On the role of linear mechanisms in transition to turbulence," Phys. Fluids 6, 1396 (1994).
30. P. S. Klebanoff, K. D. Tidstrom, and L. M. Sargent, "The three-dimensional nature of boundary layer stability," J. Fluid Mech. 12, 1 (1962.)
31. H. Bippes, Untersuchang des laminar turbulenten Umschlags an einer parallel angeströmten konkarren Wand, Ph. D. theis, heidelberg Akad. Wiss., Math. Naturwiss. KI., Sitzungsber. 3, 103 (1972).
32. H. Deyhle and H. Bippes, "Disturbance growth in an unstable three- imensional boundary layer and its dependence on environmental conditions," J. Fluid Mech. 316, 73 (1996).
33. A. I. Ruban, "On the generation of Tollmien-Schlichting waves by sound," Fluid Dyn. 189, 709 (1984).
34. M. E. Goldstein, "Scattering of acoustic waves into Tollmien-Schlichting waves by small streamswise variations in surface geometry," J. Fluid Mech., 154, 509 (1985).
35. M. Choudhari, "Roughness-induced generation of crossflow vortices in three-dimensional boundary layers," Theor. Comput. Fluid Dyn. 6, 1 (1994).
36. N. A. Zavol'skii, V. P. Reutov and G. V. Ryboushkina, "Excitation of Tollmien-Schlichting waves on a wavy surface," J. Appl. Mech. Tech. Phys. 24, 355 (1983).
37. J. D. Crouch, "Non-localized receptivity of boundary-layers," J. Fluid Mech. 244, 567 (1992).
38. J. D. Crouch, "Distributed excitation of Tollmien-Schlichting waves by vortical free-stream disturbances," Phys. Fluids 6, 217 (1994).
39. N. Lin, G. K. Stuckert, and Th. Herbert, "Boundary layer receptivity to free-stream vortical disturbances," AIAA Paper 95-0772 (1995).
40. T. A. Buter and H. L. Reed, "Boundary layer receptivity to free-stream vorticity," Phys. Fluids 6, 3368 (1994).
41. A. D. D. Craik, "The continuous spectrum of the Orr-Sommerfeld equation: note on a paper of Groshch & Salwen," J. Fluid Mech. 226, 565 (1991).
42. Th. Herbert, "Secondary instability of boundary layers," Annu. Rev. Fluid Mech. 20, 487 (1988).
43. P. Hall and F. T. Smith, "On the strongly nonlinear vortex/wave interactions in boundary-layer transition," J. Fluid Mech. 227, 641 (1991).
44. M. E. Goldstein and D. W. Wundrow, "Interaction of oblique instability waves with weak streamwise vortices," J. Fluid Mech. 284, 377 (1995).