Influence of centrifugal forces on the development of wave packets in boundary layers with a uniformly valid model

Computers and Fluids

Volumn 36, Issue 2, 2007, Pages 342-358

  Turkyilmazoglu, M ^a  

^a HACETTEPE UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; EQUATIONS OF MOTION; FLOW INTERACTIONS; FOURIER TRANSFORMS; INITIAL VALUE PROBLEMS; LINEAR EQUATIONS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; VORTEX FLOW;

CENTRIFUGAL FORCES; CONVECTIVE INSTABILITY; CRISS-CROSS INTERACTION; WAVE PACKETS;

BOUNDARY LAYER FLOW;

ASYMPTOTIC STABILITY; BOUNDARY LAYER FLOW; EQUATIONS OF MOTION; FLOW INTERACTIONS; FOURIER TRANSFORMS; INITIAL VALUE PROBLEMS; LINEAR EQUATIONS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; VORTEX FLOW;

EID: 33750605642     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2005.11.005     Document Type: Article

References (40)

1. Turkyilmazoglu M., and Ruban A.I. A uniformly valid well-posed asymptotic approach to the inviscid-viscous interaction theory. Stud Appl Math 108 (2002) 161-185
2. Gaster M., and Grant I. An experimental study of wave packet in a boundary layer. Proc R Soc London Ser A 347 (1975) 253-270
3. Gaster M. On wave packets in laminar boundary layers. Laminar-Turbulent Transition (1979) 14-16
4. Gaster M. Propagation of linear wave packets in laminar boundary layers. AIAA J 19 (1981) 419-423
5. Ryzhov O.S., and Savenkov I.V. Asymptotic theory of the wave packet in the boundary layer on a flat plate. Prikl Mat Mekh 51 (1987) 820-828
6. Kachanov Yu.S., Kozlov V.V., and Levchenko V.Ya. Nonlinear development of wave in boundary layer. Izv Akad Nauk SSSR 3 (1977) 49-58
7. Gaster M. A theoretical model of a wave packet in the boundary layer on a flat plate. Proc R Soc London Ser A 347 (1975) 271-288
8. Gaster M. The development of a two dimensional wave packet in a growing boundary layer. Proc R Soc London Ser A 384 (1982) 317-332
9. Gaster M. Estimates of the errors incurred in various asymptotic representations of wave packets. J Fluid Mech 121 (1982) 365-377
10. Breuer KS. The evolution of a localized disturbances in a laminar boundary layer. IUTAM symposium on laminar-turbulent transition. 1990. p. 189-98.
11. Cohen J., Brewer K.S., and Haritonidis J.H. On the evolution of a wave packet in a laminar boundary layer. J Fluid Mech 255 (1991) 575-606
12. Neiland V.YA. On the theory of laminar boundary layer separation in supersonic flow. Izv Akad Nauk SSSR 4 (1969) 53-57
13. Stewartson K., and Williams P.G. Self-induced separation. Proc R Soc London Ser A 312 (1969) 181-206
14. Messiter A.F. Boundary layer flow near the trailing-edge of a flat plate. SIAM J Appl Math 18 (1970) 241-257
15. Sychev V.V., Ruban A.I., Sychev Vic.V., and Korolev G.L. Asymptotic theory of separated flows (1998), Cambridge University Press
16. Schneider W. Upstream propagation of unsteady disturbances in supersonic boundary layers. J Fluid Mech 63 (1979) 465-485
17. Smith F.T. Nonlinear stability of boundary layers for disturbances of various sizes. Proc R Soc London Ser A 368 (1979) 573-589
18. Smith F.T. On the non-parallel flow stability of the Blasius boundary layer. Proc R Soc London Ser A 366 (1979) 91-109
19. Zhuk V.I., and Ryzhov O.S. Free interaction and stability of the boundary layer in an incompressible fluid. Proc Akad Nauk SSSR 253 (1980) 1326-1329
20. Lin C.C. On stability of two dimensional parallel flows. Part III. Stability in a viscous fluid. Q J Mech Appl Math 3 (1946) 277-301
21. Zhuk V.I., and Ryzhov O.S. On asymptotic solutions of the Orr-Sommerfeld equation describing unstable oscillations at large Reynolds numbers. Proc Akad Nauk SSSR 268 (1983) 1328-1332
22. Terente'v E.D. Linear problem on harmonic vibrator in subsonic boundary layer. Prikl Mat Mekh 45 (1981) 1049-1055
23. Dryden H.L. Recent investigation of the problem of transition. Z Flugwiss 4 (1956) 89-105
24. Schubauer G.B., and Skramstad H.K. Laminar boundary layer oscillations and transition on a flat plate. NACA Rep (1948) 909
25. Terente'v E.D. Linear problem on harmonic vibrator with super-critical frequency in a subsonic boundary layer. Prikl Mat Mekh 48 (1984) 264-272
26. Rozhko S.B., and Ruban A.I. On the criss-cross interaction in three dimensional boundary layers. Izv Akad Nauk SSSR, MZhG 3 (1987) 42-50
27. Smith F.T., Sykes R.I., and Brighton P.W.M. A two dimensional boundary layer encountering a three dimensional hump. J Fluid Mech 83 (1977) 163-176
28. Rozhko S.B., Ruban A.I., and Timoshin S.N. Interaction of the three dimensional boundary layer with a stretched obstacle. Izv Akad Nauk SSSR, MZhG 1 (1988) 39-48
29. Timoshin S.N. Asymptotic analysis of spatially unstable spectrum of Görtler vortices. Izv Akad Nauk SSSR, MZhG 1 (1990) 32-41
30. Choudhari M., Hall P., and Street C. On spatial evolution of long-wavelength Görtler vortices governed by a viscous-inviscid interaction. Part I. The linear case. Q J Mech Appl Math 47 (1994) 207-229
31. Ruban A.I. Propagation of wave packets in the boundary layer on a curved surface. Izv Akad Nauk SSSR, MZhG 2 (1990) 59-68
32. Ryzhov O.S., and Terente'v E.D. On uniformly valid model describing fluid motions in a three dimensional boundary layer. J Vychisl Mat Mat Phys 35 (1995) 964-976
33. Savenkov IV, Terente'v ED. Wave packets described by the uniformly valid model of three dimensional boundary layer. IUTAM symposium on laminar-turbulent transition. 1995. p. 37-45.
34. Duck P.W. Laminar flow over unsteady humps: the formation of waves. J Fluid Mech 160 (1985) 465-498
35. Duck P.W. Triple-deck flow over unsteady surface disturbances: the three dimensional development of Tollmien-Schlichting waves. Comput Fluids 18 (1990) 1-34
36. Abramowitz M., and Stegun I.A. Handbook of mathematical functions (1955), Dover Publications
37. Turkyilmazoglu M., Gajjar J.S.B., and Ruban A.I. The absolute instability of thin wakes in an incompressible/compressible fluid. Theoret Comput Fluid Dyn 13 (1999) 91-114
38. Turkyilmazoglu M., and Uygun N. Compressible modes of the rotating disk boundary layer flow leading to absolute instability. Stud Appl Math 115 (2005) 1-20
39. Turkyilmazoglu M. Linear absolute and convective instabilities of some two- and three dimensional flows. PhD thesis, University of Manchester, 1998.
40. Savenkov I.V. On the instability of the boundary layer on curved surfaces. Izv Akad Nauk SSSR, MZhG 1 (1990) 176-179