Transition to turbulent flow in aerodynamics

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 358, Issue 1765, 2000, Pages 245-260

  Bowles, Robert I ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Boundary layer transition; Lambda vortices; Spikes

Indexed keywords

EID: 0348003159     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2000.0530     Document Type: Article

References (47)

1. Bake, S., Fernholz, H. H. & Kachanov, Y. S. 2000 Resemblance of K-and N-regimes of boundary-layer transition at late stages. Eur. J. Mech. B. (In the press.)
2. Bodonyi, R. J. & Smith, F. T. 1981 The upper branch stability of the Blasius boundary layer including non-parallel flow effects. Proc. R. Soc. Lond. A 375, 65-92.
3. Bodonyi, R. J. & Smith, F. T. 1985 On the short-scale inviscid instabilities in flow past surface-mounted obstacles and other parallel motions. Aero J. (June/July), pp. 205-212.
4. Borodulin, V. I. & Kachanov, Y. S. 1989 Role of the mechanism of local secondary instability in K-breakdown of boundary layers. Sov. J. Appl. Phys. 3, 70-81.
5. Bowles, R. I. & Smith, F. T. 2000 Nonlinear instability of the shear layer in end-stage transition. (In preparation.)
6. Breuer, K. S., Cohen, J. & Horitonidis, J. H. 1997 The late stages of transition induced by a low-amplitude wavepacket in a laminar boundary layer. J. Fluid Mech. 340, 395-411.
7. Brown, S. N. & Smith, F. T. 1999 Spot concentrations of large-amplitude disturbances in laminar boundary layers. Q. J. Mech. Appl. Maths 52, 269-286.
8. Fernholz, H. H. & Bake, S. 1998 Experimentelle Untersuchung der Wachstumsmechanisme von 3D-Störungen in einer 2D-Grenzschicht im nichtlinearen Bereich der Transition. Technical Report Fe 43/40-2 DFG, HFI, TU-Berlin.
9. Goldstein, M. E. 1995 The role of nonlinear critical layers in boundary layer transition. Phil. Trans. R. Soc. Lond. A 352, 425-442
10. Han, G., Tumin, A. & Wygnanski, I. 2000 Laminar-turbulent transition to a periodic perturbation emanating from the wall. Part II. Late stage of transition. J. Fluid Mech. (Submitted.)
11. Healey, J. J. 1995 On the neutral curve of the flat-plate boundary layer: comparison between experiment, Orr-Sommerfeld theory and asymptotic theory. J. Fluid Mech. 288, 59-73.
12. Heisenberg, W. 1924 Über Stabilität und Turbulenz van Flussiugkeitsströmen. Ann. Phys. Lpz. 74, 577-627. ( English Trans. 1951 On stability and turbulence of fluid flows. Wash. Tech. Memor. Nat. Adv. Comm. Aero., no. 1291.)
13. Heisenberg, W. 1924 Über Stabilität und Turbulenz van Flussiugkeitsströmen. Ann. Phys. Lpz. 74, 577-627. ( English Trans. 1951 On stability and turbulence of fluid flows. Wash. Tech. Memor. Nat. Adv. Comm. Aero., no. 1291.)
14. Herbert, Th. 1997 Parabolised stability equations. A. Rev. Fluid Mech. 29, 245-283.
15. Hultgren, L. S. 1987 Higher eigenmodes in the Blasius boundary-layer stability problem. Phys. Fluids 30, 2947-2951.
16. Kachanov, Y. S. 1994 Physical mechanisms of laminar-boundary-layer transition. A. Rev. Fluid Mech. 26, 411-182.
17. Kachanov, Y. S., Ryzhov, O. S. & Smith, F. T. 1993 Formation of solitons in transitional boundary layers: theory and experiments. J. Fluid Mech. 251, 273-297.
18. Klebanoff, P. S., Tidstrom, K. D. & Sargeant, L. M. 1962 The three-dimensional nature of boundary-layer instability. J. Fluid Mech. 12, 1-34.
19. Klingman, B. G. B., Boiko, A. V., Weshin, K. J. A., Kozlov, V. V. & Alfredsson, P. H. 1993 Eur. J. Mech. B 12, 493-514.
20. Lerche, T. 1997 Experimental investigations of nonlinear formation of flow structures in a transitional three-dimensional boundary layer. PhD thesis, University of Göttingen.
21. Li, L., Walker, J. D. A., Bowles, R. I. & Smith, F. T. 1998 Short-scale breakup in unsteady interactive layers: local development of normal pressure gradients and vortex wind-up. J. Fluid Mech. 374, 335-378.
22. Lighthill, M. J. 1963 Introduction to boundary layer theory. In Laminar boundary layers (ed. L. Rosenthal), pp. 88-94. Oxford University Press.
23. Metcalfe, R. W., Baattistoni, F., Orzo, S. & Ekeroot, J. 1991 Evolution of boundary layer flow over a compliant wall during transition to turbulence. In Royal Aeronautical Society Conf. on Boundary Layer Transition and Control, Cambridge, 8-12 April.
24. Nishioka, M., Asai, M. & Iida, S. 1979 An experimental investigation of the secondary instability. In Laminar-turbulent transition. IUTAM Mtg, Stuttgart.
25. Orr, W. M. F. 1907 The stability or instability of the steady motions of a perfect liquid and of a viscous liquid. Proc. R. Irish Acad. A 27, 9-68, 69-138.
26. Reid, W. H. 1965 In Basic developments in fluid dynamics (ed. M. Holt), vol. 1, pp. 249-307. Academic.
27. Ross, J. A., Barnes, F. H., Barnes, J. G. & Ross, M. A. S. 1970 The flat plate boundary layer. Part 3. Comparison of theory with experiment. J. Fluid Mech. 43, 819-838.
28. Sandham, N. D. & Kleiser, L. 1992 The late stages of transition to turbulence in channel flow. J. Fluid Mech. 245, 319-348.
29. Savin, D. J., Smith, F. T. & Allen, T. 1998 Transition of free disturbances in inflectional flow, over an isolated surface roughness. Proc. R. Soc. Lond. A 455, 491-541.
30. Schlichting, H. 1933 Zur Entstewhung der Turbulenz bei der Plattenströmung. Nachr. Ges. Wiss. Göttmaen, Math. Phys. K. L., pp. 181-208.
31. Schubauer, G. B. & Skramstad, H. K. 1943 Laminar-boundary-layer oscillations on a flat plate. NACA report, no. 909.
32. Shaikh, F. N. 1997 Investigation of transition to turbulence using white-noise excitation and local analysis techniques. J. Fluid Mech. 348, 29-63.
33. Smith, F. T. 1979a On the nonparallel stability of the Blasius boundary layer. Proc. R. Soc. Lond. A 366, 91-109.
34. Smith, F. T. 1979b Nonlinear stability of boundary layers for disturbances of various sizes. Proc. R. Soc. Lond. A 368, 573-589.
35. Smith F. T. 1988 Finite time break-up can occur in any unsteady interacting boundary-layer. Mathematika 35, 256-273.
36. Smith, F. T. & Bowles, R. I. 1992 Transition theory and experimental comparisons on (a) amplification into streets and (b) a strongly nonlinear break-up criterion. Proc. R. Soc. Lond. A 439, 163-175.
37. Smith, F. T. & Walton, A. G. 1989 Nonlinear interaction of near-planar TS waves and longitudinal vortices in boundary-layer transition. Mathematika 36, 262-289.
38. Smith, F. T., Bowles, R. I. & Walker, J. D. A. 2000 Wind-up of a spanwise vortex in deepening transition and stall. Theoret. Comp. Fluid Dyn. (Submitted.)
39. Sommerfeld, A. 1908 Ein Beitrag zur hydrodynamischen Erklaerung der turbulenten Flues-sigkeitsbewegungen. In Proc. 4th Int. Congr. Mathematicians, Rome, vol. III, pp. 116-124.
40. Stewart, P. A. & Smith, F. T. 1992 Three-dimensional nonlinear blow-up from a nearly planar initial disturbance in boundary-layer transition: theory and experimental comparisons. J. Fluid Mech. 244, 649-676.
41. Tollmien, W. 1929 Über die Entstehung der Turbulenz. Nachr. Ges. Wiss. Göttmaen, Math. Phys. K. L., pp. 21-44. (English Trans. 1931 The production of turbulence. Tech. Memor. Nat. Adv. Comm. Aero. Wash., no. 609.)
42. Tollmien, W. 1929 Über die Entstehung der Turbulenz. Nachr. Ges. Wiss. Göttmaen, Math. Phys. K. L., pp. 21-44. (English Trans. 1931 The production of turbulence. Tech. Memor. Nat. Adv. Comm. Aero. Wash., no. 609.)
43. Tutty, O. R. & Cowley, S. J. 1986 On the stability and the numerical solution of the unsteady interactive boundary-layer equation. J. Fluid Mech. 168, 431-456.
44. Walker, J. D. A. 1990a Wall-layer eruptions in turbulent flows. In Proc. 2nd IUTAM Symp. on Structure of Turbulence and Drag Reduction, Zurich, Switzerland (ed. A. Gyr). Springer.
45. Walker, J. D. A. 1990b Models based on dynamical features of the wall layer. In Proc. XI US Natl Congr. of Applied Mathematics, University of Arizona, Tucson, AZ, 21-25 May; Appl. Mech. Rev. 43, S232-S239.
46. Wintergerste, T. & Kleiser, L. 1995 Direct numerical simulation of transition in a three-dimensional boundary layer. In Proc. Symp. on Boundary-Layer Transition Prediction in Aeronautics, Amsterdam, December. Springer.
47. Wintergerste, T. & Kleiser, L. 1998 Secondary instability analysis of nonlinear cross-flow vortices. Euromech 380 Conf. Laminar-Turbulent Mechanisms and Prediction, Göttingen, 14-17 September.