Receptivity of pipe Poiseuille flow

Journal of Fluid Mechanics

Volumn 315, Issue , 1996, Pages 119-137

  Tumin, Anatoli ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

PIPES; POISEUILLE FLOW; RECEPTIVITY;

EIGENVALUES AND EIGENFUNCTIONS; HYDRODYNAMICS; LAMINAR FLOW; NUMERICAL METHODS; POLYNOMIALS; TURBULENT FLOW;

BIORTHOGONAL EIGENFUNCTIONS; CHEBYSHEV POLYNOMIALS; COLLOCATION METHOD; POISEUILLE FLOW; RECEPTIVITY PROBLEM;

PIPE FLOW;

EID: 0030131325     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096002364     Document Type: Article

References (42)

1. ASHPIS, D. E. & RESHOTKO. E. 1990 The vibrating ribbon problem revisited. J. Fluid Mech. 213, 513-547 .
2. BERGSTRÖM, L. 1992 Initial algebraic growth of small angular dependent disturbances in pipe Poiseuille flow. Stud. Appl. Maths 87, 61-79.
3. BERGSTRÖM, L. 1993a Optimal growth of small disturbances in pipe Poiseuille flow. Phys. Fluids A 5, 2710-2719.
4. BERGSTRÖM, L. 1993b Evolution of laminar disturbances in pipe Poiseuille flow. Eur. J. Mech. B/Fluids 12, 749-768.
5. BOBERG, L. & BROSA, U. 1988 Onset of turbulence in a pipe. Z. Naturforsch. 43 a, 697-726
6. BRAMLEY, J. S. 1986 The calculation of eigenvalues for the stationary perturbation of symmetrical pipe Poiseuille flow. J. Comput. Phys. 64, 258-265.
7. CHOUDHARY, M. 1993 Roughness-induced generation of crossflow vortices in three-dimensional boundary layers. NASA-CR 4505.
8. COHEN, J. & WYGNANSKI, I. 1987 The evolution of instabilities in the axisymmetric jet. Part 1. The linear growth of disturbances near the nozzle. J. Fluid Mech. 176, 191-219.
9. CORCOS, G. M. & SELLARS, J. R. 1959 On the stability of fully developed flow in a pipe. J. Fluid Mech. 5, 97-112.
10. DARBYSHIRE, A. G. & MULLIN, T. 1995 Transition to turbulence in constant-mass-flux pipe flow. J. Fluid Mech. 289, 83-114.
11. DRAZIN, P. G. & REID, W. H. 1981 Hydrodynamic Stability. Cambrige University Press.
12. FEDOROV, A. V. 1984 Excitation of Tollmien-Schlichting waves in a boundary layer by a periodic external source located on the body surface. Fluid Dyn. 19, 888-893 (from Russian).
13. FOX, J. A., LESSEN, M. & BHAT, W. V. 1968 Experimental investigation of the stability of Hagen-Poiseuille flow. Phys. Fluids 11, 1-4.
14. GARG, V. K. & ROULEAU, W. T. 1972 Linear spatial stability of pipe Poiseuille flow. J. Fluid Mech. 54, 113-127.
15. GASTER, M. 1965 On the generation of spatially growing waves in a boundary layer. J. Fluid Mech. 22, 433-441.
16. GILL, A. E. 1965 On the behaviour of small disturbances to Poiseuille flow in a circular pipe. J. Fluid Mech. 21, 145-172.
17. GOLDSTEIN, M. E. & HULTGREN, L. S. 1989 Boundary layer receptivity to long wave free-stream disturbances. Ann. Rev. Fluid Mech. 21, 137-166.
18. GUSTAVSSON, L. H. 1989 Direct resonance of nonaxisymmetric disturbances in pipe flow. Stud. Appl. Maths 80, 95-108.
19. IVANOV, A. V. & KACHANOV, YU. S. 1994 Excitation and development of spatial packets of instability waves in a three-dimensional boundary layer. Thermophys. Aeromech. Russian Acad. Sci. 1, No. 4, 287-305.
20. KASKEL, A. 1961 Experimental study of the stability of pipe flow. II. Development of disturbance generator. Jet Propulsion Laboratory Tech. Rep. 32-138. Pasadena, California.
21. KHORRAMI, M. R., MALIK, M. R. & ASH, R. L. 1989 Application of spectral collocation techniques to the stability of swirling flows. J. Comput. Phys. 81, 206-229.
22. LEITE, R. J. 1959 An experimental investigation of the stability of Poiseuille flow. J. Fluid Mech. 5, 81-97.
23. LESSEN, M., SADLER, S. G. & LIU, T. Y. 1968 Stability of pipe Poiseuille flow. Phys. Fluids 11, 1404-1409.
24. LIANG, F. P. & RESHOTKO, E. 1991 An in viscid stability analysis of unbounded supersonic mixing layer flows. EMAE/TR 90 - 199, Case Western Reserve University, Cleveland.
25. LIN, C. C. 1955 The Theory of Hydrodynamic Stability. Cambrige University Press.
26. MORKOVIN, M. V. 1969 Critical evaluation of transition from laminar to turbulent shear layers with emphasis on hypersonically traveling bodies. AFF DL-TR-68-149, Air Force Flight Dynamics Lab., Wright-Patherson AFB, Ohio.
27. MORKOVIN, M. V. & RESHOTKO, E. 1989 Dialogue on progress and issues in stability and transition research. In Laminar-Turbulent Transition, IUTAM Symp., Toulouse (ed. D. Arnal & R. Michel), pp. 1-29. Springer.
28. PEKERIS, C. L. 1948 Stability of the laminar flow through a straight pipe of circular cross section to infinitesimal disturbance which are symmetrical about the axis of the pipe. Proc. US Natl Acad. Sci. 34, 285-295.
29. PHILLIPS, T. N. & ROBERTS, G. W. 1993 The treatment of spurious pressure modes in spectral incompressible flow calculations. J. Comput. Phys. 105, 150-164.
30. PRETSCH, J. 1941 Über die Stabilität der Laminarströmung in einem geraden Rohr mit Kreisförmigem Querschmitt. Z. Angew. Math. Mech. 21, 204-217.
31. RESHOTKO, E. 1958 Experimental study of the stability of pipe flow. I. Establishment of an axially symmetric Poiseuille flow. Jet Propulsion Laboratory. Progress Rep. 20-364, Pasadena, California.
32. RESHOTKO, E. 1976 Boundary-layer stability and transition. Ann. Rev. Fluid Mech. 8, 311-349.
33. REYNOLDS, O. 1883 An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels. Phil. Trans. R. Soc. Lond. 174, 935-982.
34. SALWEN, H., COTTON, F. W. & GROSCH, C. E. 1980 Linear stability of Poiseuille flow in a circular pipe. J. Fluid Mech. 98, 273-284.
35. SALWEN, H. & GROSCH, C. E. 1972 The stability of Poiseuille flow in a pipe of a circular cross-section. J. Fluid Mech. 54, 93-112.
36. SCHMID, P. J. & HENNINGSON, D. S. 1994 Optimal energy density growth in Hagen-Poiseuille flow. J. Fluid Mech. 277, 197-225.
37. SEXL, TH. 1927a Zur Stabilitätsfrage der Poiseuilleschen und Couetteschen Strömung. Ann. Physik 83, 835-848.
38. SEXL, TH. 1927b Über dreidimensionale Störungen der Poiseuilleschen Strömung. Ann. Physik 84, 807-822.
39. TATSUMI, T. 1952 Stability of the laminar inlet-flow prior to the formation of Poiseuille regime, Part II. J. Phys. Soc. Japan 7, 495-502.
40. TUMIN, A. M. & FEDOROV, A. V. 1984 Instability wave excitation by a localized vibrator in the boundary layer. J. Appl. Mech. Tech. Phys. 25, 867-873 (from Russian).
41. WYGNANSKI, I. & CHAMPAGNE, F. H. 1973 On transition in a pipe flow. J. Fluid Mech. 59, 281-335.
42. ZHIGULEV, V. N. & TUMIN, A. M. 1987 Origin of Turbulence. Novosibirsk, Nauka (in Russian).