Streamwise absolute instability of a three-dimensional boundary layer at high Reynolds numbers

Journal of Fluid Mechanics

Volumn 373, Issue , 1998, Pages 111-153

  Ryzhov, Oleg S ^a   Terent'ev, Eugene D ^b  

^a Rensselaer Polytechnic Institute   (United States)

^b RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY LAYERS; MATHEMATICAL MODELS; REYNOLDS NUMBER; STABILITY; WAVE EFFECTS; WIND TUNNELS;

WAVE PACKETS;

STREAM FLOW;

EID: 0032179825     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098002456     Document Type: Article

References (53)

1. ABRAMOWITZ, M. & STEGUN, I. A. 1964 Handbook of Mathematical Functions. National Bureau of Standards.
2. ARNAL, D. & JUILLEN, J. C. 1987 Three-dimensional transition studies at ONERA/CERT. AIAA Paper 87-1335.
3. BALAKUMAR, P. & MALIK, M. R. 1990 Travelling disturbances in rotating-disk flow. Theor. Comput. Fluid Dyn. 2, 125-137.
4. BKNNEY, D. J. & GUSTAVSSON, L. H. 1981 A new mechanism for linear and nonlinear hydrodynamic instability. Stud. Appl. Maths 64, 185-209.
5. BERS, A. 1975 Linear waves and instabilities. In Physique des Plasmas (ed. C. Dewitt & J. Peyraud), pp. 117-215. Gordon & Breach.
6. BIPPES, H., MÜLLER, B. & WAGNER, M. 1991 Measurements and stability calculations of the disturbance growth in an unstable three-dimensional boundary layer. Phys. Fluids A, 3, 2371-2377.
7. BREVDO, L. 1991 Three-dimensional absolute and convective instabilities, and spatially amplifying waves in parallel shear flows. Z. Angew. Math. Phys. 42, 911-942.
8. BRIGGS, R. J. 1964 Electron-Stream Interaction with Plasmas. MIT Press.
9. CORKE, T. C. & KNASIAK, K. F. 1996 Cross-flow instability with periodic distributed roughness. In Proc. IUTAM Symp. on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers (ed. P. W. Duck & P. Hall), pp. 267-282. Kluwer.
10. CRIMINALE, W. O. & DRAZIN, P. G. 1990 The evolution of linearized perturbations of parallel flows. Stud. Appl. Maths 83, 123-157.
11. DALLMANN, U. & BIELER, H. 1987 Prediction and analysis of primary instability of a three-dimensional swept plate boundary layer. AIAA Paper 87-1337.
12. DEYHLE, H. & BIPPES, H. 1996 Disturbance growth in an unstable three-dimensional boundary layer and its dependence on environmental conditions. J. Fluid Mech. 316, 73-113.
13. DEYHLE, H., HÖHLER, G. & BIPPES, H. 1993 Experimental investigation of instability wave propagation in a three-dimensional boundary-layer flow. AIAA J. 31, 637-645.
14. GAJJAR, J. S. B., AREBI, M. A. & SIBANDA, P. 1996 Nonlinear development of crossflow instabilities in compressible and incompressible boundary-layer flows. AIAA Paper 96-2159.
15. GRAY, W. E. 1952 The effect of wing sweep on laminar flow. RAE TM Aero. 255.
16. GREGORY, N., STUART, J. T. & WALKER, W. S. 1955 On the stability of three-dimensional boundary layers with applications to the flow due to a rotating disk. Phil. Trans. R. Soc. Lond. A 248, 155-199.
17. HUERRE, P. & MONKEWITZ, P. A. 1990 Local and global instabilities in spatially developing flows. Ann. Rev. Fluid Mech. 22, 473-537.
18. KACHANOV, Yu. S. 1996 Experimental studies of three-dimensional instability of boundary layers. AIAA Paper 96-1978.
19. KACHANOV, Yu. S., TARARYKIN, O. I. & FEDOROV, A. V. 1990 A study of the stability of a boundary layer on a swept-wing model against stationary disturbances. Izv. Sibirsk. Otd. Akad. Nauk SSSR. Ser. Tekh. Nauk No. 5, 11-21 (in Russian).
20. KOHAMA, Y. 1987 Some expectation on the mechanism of crossflow instability in a swept wing flow. Acta Mech. 66, 21-38.
21. KORN, G. A. & KORN, T. M. 1961 Mathematical Handbook for Scientists and Engineers. McGraw-Hill.
22. LANDAU, L. D. & LIFSHITZ, E. M. 1959 Fluid Mechanics. Pergamon.
23. LINGWOOD, R. J. 1995 Absolute instability of the boundary layer on a rotating disk. J. Fluid Mech. 299, 17-33.
24. LINGWOOD, R. J. 1996 An experimental study of absolute instability of the rotating-disk boundary-layer flow. J. Fluid Mech. 314, 373-405.
25. LINGWOOD, R. J. 1997 On the impulse response for swept boundary-layer flows. J. Fluid Mech. 344, 317-344.
26. MACK, L. M. 1985 The wave pattern produced by point source on a rotating disk. AIAA Paper 85-0490.
27. MANUILOVICH, S. V. 1983 On the free interaction of a spatial boundary layer with an external potential flow. Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza No. 5, 45-53 (in Russian; English translation: Fluid Dyn. 18, 695-701, 1984).
28. MANUILOVICH, S. V. 1983 On the free interaction of a spatial boundary layer with an external potential flow. Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza No. 5, 45-53 (in Russian; English translation: Fluid Dyn. 18, 695-701, 1984).
29. MESSITER, A. F. 1970 Boundary-layer flow near the trailing edge of a flat plate. SIAM J. Appl. Maths 18, 241-257.
30. NITSCHKE-KOWSKY, P. & BIPPES, H. 1988 Instability and transition of a three-dimensional boundary layer on a swept flat plate. Phys. Fluids 31, 786-795.
31. POLL, D. I. A. 1985 Some observations of the transition process on the windward face of a long yawed cylinder. J. Fluid Mech. 150, 329-356.
32. RADEZTSKY, R. H., JR., REIBERT, M. S. & SARIC, W. S. 1994 Development of stationary crossflow vortices on a swept wing. AIAA Paper 94-2373.
33. RADEZTSKY, R. H., JR., REIBERT, M. S., SARIC, W. S. & TAKAGI, S. 1993 Effect of micron-sized roughness on transition in swept wing flows. AIAA Paper 93-0076.
34. REED, H. L. & SARIC, W. S. 1989 Stability of three-dimensional boundary layers. Ann. Rev. Fluid Mech. 21, 235-284.
35. REED, H. L., SARIC, W. C. & ARNAL, D. 1996 Linear stability theory applied to boundary layers. Ann. Rev. Fluid Mech. 28, 389-428.
36. RYZHOV, O. S. & TERENT'EV, E. D. 1984 Some properties of vortex spots in a boundary layer on a plate. Dokl. Akad. Nauk SSSR 276, 571-575 (in Russian; English translation: Sov. Phys. Dokl. 29, 349-351, 1984).
37. RYZHOV, O. S. & TERENT'EV, E. D. 1984 Some properties of vortex spots in a boundary layer on a plate. Dokl. Akad. Nauk SSSR 276, 571-575 (in Russian; English translation: Sov. Phys. Dokl. 29, 349-351, 1984).
38. RYZHOV, O. S. & TERENT'EV, E. D. 1986 On the transition mode characterizing the triggering of a vibrator in the subsonic boundary layer on a plate. Prikl. Matem. Mekham. 50, 974-986 (in Russian; English translation: PMM USSR 50, 753-762, 1987).
39. RYZHOV, O. S. & TERENT'EV, E. D. 1986 On the transition mode characterizing the triggering of a vibrator in the subsonic boundary layer on a plate. Prikl. Matem. Mekham. 50, 974-986 (in Russian; English translation: PMM USSR 50, 753-762, 1987).
40. RYZHOV, O. S. & TERENT'EV, E. D. 1991 Wave motions in a three-dimensional boundary layer. Prikl. Matem. Mekhan. 55, 912-927 (in Russian; English translation: PMM USSR 55, 789-804, 1991).
41. RYZHOV, O. S. & TERENT'EV, E. D. 1991 Wave motions in a three-dimensional boundary layer. Prikl. Matem. Mekhan. 55, 912-927 (in Russian; English translation: PMM USSR 55, 789-804, 1991).
42. RYZHOV, O. S. & TERENT'EV, E. D. 1996 Nonlinear waves in the three-dimensional boundary layer. In Proc. IUTAM Symp. on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers (ed. P. W. Duck & P. Hall), pp. 167-176. Kluwer.
43. RYZHOV, O. S. & TERENT'EV, E. D. 1997 A composite asymptotic model for the wave motion in a steady three-dimensional subsonic boundary layer. J. Fluid Mech. 337, 103-128.
44. SARIC, W. S. & YEATES, L. G. 1985 Experiments on the stability of crossflow vortices in swept-wing flows. AIAA Paper 85-0493.
45. SMITH, F. T. 1989 On the first-mode instability in subsonic, supersonic or hypersonic boundary layers. J. Fluid Mech. 198, 127-153.
46. SMITH, F. T., SYKES, R. I. & BRIGHTON, P. W. 1977 A two-dimensional boundary layer encountering a three-dimensional hump. J. Fluid Mech. 83, 163-176.
47. SQUIRE, H. B. 1933 On the stability of three-dimensional disturbances of viscous fluid flow between parallel walls. Proc. R. Soc. Land. A 142, 621-628.
48. STEWART, P. A. & SMITH, F. T. 1987 Three-dimensional instabilities in steady and unsteady non-parallel boundary layers, including effects of Tollmien-Schlichting disturbances and crossflow. Proc. R. Soc. Land. A 409, 229-248.
49. STEWARTSON, K. 1969 On the flow near the trailing edge of a flat plate. II. Mathematika 16, 106-121.
50. TAYLOR, M. J. & PEAKE, N. 1998 The long-time behaviour of incompressible swept-wing boundary layers subject to impulsive forcing. J. Fluid Mech. 355, 359-381.
51. TERENT'EV, E. D. 1984 The linear problem of a vibrator performing harmonic oscillations at supercritical frequencies in a subsonic boundary layer. Prikl. Matem. Mekhan. 48, 264-272 (in Russian; English translation: PMM USSR 48, 184-191, 1984).
52. TERENT'EV, E. D. 1984 The linear problem of a vibrator performing harmonic oscillations at supercritical frequencies in a subsonic boundary layer. Prikl. Matem. Mekhan. 48, 264-272 (in Russian; English translation: PMM USSR 48, 184-191, 1984).
53. WILKINSON, S. P. & MALIK, M. R. 1985 Stability experiments in the flow over a rotating disk. AIAA J. 23, 588-595.