Instabilities in compressible attachment-line boundary layers

Physics of Fluids

Volumn 18, Issue 4, 2006, Pages

  Le Duc, Anne ^a   Sesterhenn, Jörn ^a   Friedrich, Rainer ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPRESSIBLE FLOW; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; HYDRODYNAMICS; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; REYNOLDS NUMBER;

HIEMENZ FLOW; ISOTHERMAL WALL BOUNDARY CONDITION; MACH NUMBER;

BOUNDARY LAYERS;

BOUNDARY CONDITIONS; BOUNDARY LAYERS; COMPRESSIBLE FLOW; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; HYDRODYNAMICS; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; REYNOLDS NUMBER;

EID: 33745597939     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2187450     Document Type: Article

References (53)

1. H. Bippes, "Basic experiments on transition in three-dimensional boundary layers dominated by crossflow instability," Prog. Aerosp. Sci.PAESD60376-042110.1016/S0376-0421(99)00002-0 35, 363 (1999).
2. K. Hiemenz, "Die Grenzschicht an einem in den gleichförmigen Flüssigkeitsstrom eingetauchten geraden Kreiszylinder Thesis Göttingen 1911," Dingl. Polytech. J. 326, 321 (1911).
3. W. S. Saric and H. L. Reed, "Crossflow instabilities-theory & technology," AIAA Paper No. 2003-0771 (2003).
4. C. Mielke, "Numerische Untersuchungen zur Turbulenzentstehung in dreidimensionalen kompressiblen Grenzschichtströmungen," Ph.D. thesis, ETH Zürich, 1999.
5. F. P. Bertolotti, "On the connection between cross-flow vortices and attachment-line instabilities," in IUTAM Symposium on Laminar-Turbulent Transition, Sedona, September 1999, pp. 625-630.
6. N. Itoh, "Instability of three-dimensional boundary layers due to streamline curvature," Fluid Dyn. Res.FDRSEH0169-5983 14, 353 (1994).
7. W. Pfenninger, "Some results form the X-21 programme. Part I-Flow phenomena at the leading edge of swept wings," Technical Report No. 97, AGARDograph, 1965.
8. M. Gaster, "A simple device for preventing turbulent contamination on swept leading edges," J. R. Aeronaut. Soc.JRAOAO0368-3931 69, 788 (1965).
9. M. Gaster, "On the flow along swept leading edges," Aeronaut. Q.AEQUAY0001-9259 18, 165 (1967).
10. N. A. Cumpsty and M. R. Head, " The calculation of three dimensional turbulent boundary layers. Part III Comparison of attachment line calculations with experiment" Aeronaut. Q. XX, 99 (1969).
11. W. Pfenninger and J. W. Bacon, "Amplified laminar boundary layer oscillations and transition at the front attachment line of a 45 degree swept flat-nosed wing with and without boundary layer suction," in Viscous Drag Reduction, edited by C. S. Wells (Plenum, New York, 1969).
12. D. I. A. Poll, "Transition in the infinite swept attachment line boundary layer," Aeronaut. Q.AEQUAY0001-9259 30, 607 (1979).
13. N. A. Cumpsty and M. R. Head, "The calculation of three dimensional turbulent boundary layers. Part II: Attachement-line flow on an infinite swept wing," Aeronaut. Q.AEQUAY0001-9259 XVIII, 150 (1967).
14. P. Hall and M. R. Malik, "On the instability of a three-dimensional attachment-line boundary-layer: Weakly nonlinear theory and numerical approach," J. Fluid Mech.JFLSA70022-1120 163, 257 (1986).
15. P. Hall, M. R. Malik, and D. I. A. Poll, On the stability of an infinite swept attachment line boundary layer. Proc. R. Soc. London, Ser. APRLAAZ1364-5021 395, 229 (1984).
16. R. D. Joslin, Simulation of nonlinear instabilities in an attachment-line boundary layer, Fluid Dyn. Res.FDRSEH0169-598310.1016/ 0169-5983(96)00005-6 18, 81 (1996).
17. H. Görtler, "Dreidimensionale Instabilität der ebenen Staupunktströmung gegenüber wirbelartigen Störungen," in 50 Jahre Grenzschichtforschung, edited by H. Görtler and W. Tollmien (Vieweg, Braunschweig, 1955), pp. 304-314.
18. G. Hämmerlin, "Zur Instabilitätstheorie der ebenen Staupunktströmung," in 50 Jahre Grenzschichtforschung, edited by H. Görtler and W. Tollmien (Vieweg, Braunschweig, 1955), pp. 315-327.
19. K. Brattkus and S. H. Davis, "The linear stability of plane stagnation-point flow against general disturbances," Q. J. Mech. Appl. Math.QJMMAV0033-5614 44, 135 (1991).
20. P. Hall and S. O. Seddougui, "Wave interactions in a three-dimensional attachment-line boundary-layer," J. Fluid Mech.JFLSA70022-1120 217, 367 (1990).
21. P. Balakumar and P. A. Trivedi, "Finite amplitude stability of attachment line boundary layers," Phys. FluidsPHFLE61070-663110.1063/1.869744 10, 2228 (1998).
22. P. R. Spalart, "Direct numerical study of leading-edge contamination," in Fluid Dynamics of Three-dimensional Turbulent Shear Flows and Transition (NATO, Neuilly-sur-Seine, 1988), pp. 5:1-5:13, AGARD-CP-438.
23. R.-S. Lin and M. R. Malik, "On the stability of attachment-line boundary layers. Part 1. The incompressible swept Hiemenz flow," J. Fluid Mech.JFLSA70022-1120 311, 239 (1996).
24. A. Povitsky, "Aeroacoustics of a stagnation flow near a rigid wall," Phys. FluidsPHFLE61070-663110.1063/1.1288514 12, 2595 (2000).
25. W. O. Criminale, T. L. Jackson, and D. G. Lasseigne, "Evolution of disturbances in stagnation-point flow," J. Fluid Mech.JFLSA70022-1120 270, 331 (1994).
26. L. S. G. Kovásznay, "Turbulence in supersonic flow," J. Aeronaut. Sci.JASCAR0095-9812 20, 657 (1953).
27. G. P. Zank and W. H. Matthaeus, "The equations of nearly incompressible fluids. I. Hydrodynamics, turbulence, and waves," Phys. Fluids APFADEB0899-821310.1063/1.857865 3, 69 (1991).
28. B. J. Bayly, C. D. Levermore, and T. Passot, "Density variations in weakly compressible flows," Phys. Fluids APFADEB0899-821310.1063/ 1.858275 4, 945 (1992).
29. R.-S. Lin, and M. R. Malik, "Stability and transition in compressible attachment line boundary layer flow," Technical Report No. 952041, SAE, 1995.
30. R. Heeg, "Stability and transition of attachment-line flow," Ph.D. thesis, University of Twente, 1998.
31. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1981) (republication of the third printing of the 1970 edition).
32. R.-S. Lin and M. R. Malik, "On the stability of attachment-line boundary layers. Part 2. The effect of leading edge curvature," J. Fluid Mech.JFLSA70022-1120 333, 125 (1997).
33. D. I. A. Poll, "Transition description and prediction in three-dimensional flows," in Special Course on Stability and Transition of Laminar Flow (AGARD, NATO, 1984), pp. 5/1-5/23.
34. D. I. A. Poll, "The development of intermittent turbulence on a swept attachment line including the effects of compressibility," Aeronaut. Q.AEQUAY0001-9259 34, 1 (1983).
35. D. R. Topham, "A correlation of leading edge transition and heat transfer on swept cylinders in supersonic flow," J. R. Aeronaut. Soc.JRAOAO0368-3931 69, 49 (1965).
36. D. M. Bushnell and J. K. Huffman, "Investigation of heat transfer to a leading edge of a 76° swept fin with and without chordwise slots and correlations of swept-leading-edge transition data for Mach 2 to 8," Technical Report No. TMX-1475, NASA, December, 1967.
37. M. R. Malik and I. E. Beckwith, "Stability of a supersonic boundary layer along a swept leading edge," in AGARD Conference Proceedings, No. 438, 1988.
38. A. V. Kazakov, "Effect of surface temperature on the stability of swept attachment line boundary layer," Fluid Dyn.FLDYAH0015-4628 25, 875 (1990).
39. V. Theofilis, "On linear and nonlinear instability of the incompressible swept attachment-line boundary layer," J. Fluid Mech.JFLSA70022-112010.1017/S0022112097007660 355, 193 (1998).
40. D. Obrist, "On the stability of the swept leading-edge boundary layer," Ph.D. thesis, University of Washington, Seattle, 2000.
41. D. Obrist and P. Schmid, "On the linear stability of swept attachment-line boundary layer flow. Part 1. Spectrum and asymptotic behaviour," J. Fluid Mech.JFLSA70022-1120 493, 1 (2003).
42. E. Reshotko and I. E. Beckwith, "Compressible laminar boundary layer over a yawed infinite cylinder with heat transfer and arbitrary Prandtl number," Technical Report No. 1379, National Advisory Committee for Aeronautics, 1958.
43. L. Rosenhead, editor, Laminar Boundary Layers (Clarendon, Oxford, 1963).
44. Lord Rayleigh, "On the flow of compressible fluid past an obstacle," Philos. Mag., Suppl.ADPHAH0001-873210.1080/ 00018738300101521 32, 1 (1916).
45. R. Kh. Zeytounian, Les modèles asymptotiques de la mécanique des fluides I, Vol. 245 of Lecture Notes in Physics (Springer, Berlin, 1986).
46. A. Le Duc, "Étude de Stabilité d'Écoulements Faiblement Compressibles, de Giration, puis d'Impact sur Paroi, par Théorie Linéaire et Simulation Numérique Directe," Ph.D. thesis, École Centrale de Lyon, 2001.
47. G. Moretti, "The λ-scheme," Comput. FluidsCPFLBI0045-793010.1016/0045-7930(79)90036-7 7, 191 (1979).
48. J. Sesterhenn, "A characteristic-type formulation of the Navier-Stokes equations for high order upwind schemes," Comput. FluidsCPFLBI0045-7930 30, 37 (2001).
49. N. A. Adams and K. Shariff, "A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems," J. Comput. Phys.JCTPAH0021-999110.1006/jcph.1996.0156 127, 27 (1996).
50. S. K. Lele, "Compact finite difference schemes with spectral-like resolution," J. Comput. Phys.JCTPAH0021-999110.1016/ 0021-9991(92)90324-R 103, 16 (1992).
51. C. A. Kennedy, M. H. Carpenter, and R. M. Lewis, "Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations," Technical Report ICASE No. 99-22, 1999.
52. T. J. Poinsot and S. K. Lele, "Boundary conditions for direct simulations of compressible viscous flows," J. Comput. Phys.JCTPAH0021-999110.1016/0021-9991(92)90046-2 101, 104 (1992).
53. A. Hanifi, P. J. Schmid, and D. S. Henningson, "Transient growth in compressible boundary layer flow," Phys. FluidsPHFLE61070-6631 8, 51 (1996).