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Formation and development of coherent structures in a transitional boundary layer

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References

  1. G. B. Schubauer and H. K. Skramstad, “Laminar boundary-layer oscillations and transition on a flat plate,”J. Res. Natl. Bur. Stand.,38, 251–292 (1947).

    Google Scholar 

  2. P. S. Klebanoff and K. D. Tidstrom, “Evolution of amplified waves leading to transition in a boundary layer with zero pressure gradient,” Tech. Note/NASA; D-195, Washington (1959).

  3. P. S. Klebanoff, K. D. Tidstrom, and L. M. Sargent, “The three-dimensional nature of boundary layer instability,”J. Fluid Mech.,12, 1–34 (1962).

    ADS  Google Scholar 

  4. Y. S. Kachanov, V. V. Kozlov, and V. Y. Levchenko, “Nonlinear development of a wave in a boundary layer,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 49–58 (1977). [Translation in Fluid Dynamics,13, 704–711 (1979).]

    Google Scholar 

  5. Y. S. Kachanov and V. Y. Levchenko, “Resonant interaction of disturbances upon transition to turbulence in a boundary layer,” Preprint No. 10-82, Inst. Theor. and Appl. Mech., Siberian Div. USSR Acad. Sci. [in Russian], Novosibirsk (1982).

  6. Y. S. Kachanov and V. Y. Levchenko “The resonant interaction of disturbances at laminar-turbulent transition in a boundary layer,”J. Fluid Mech.,138, 209–247 (1984).

    ADS  Google Scholar 

  7. Y. S. Kachanov, “Resonant-wave nature of transition to turbulence in a boundary layer,” in:Modeling in Mechanics [in Russian], Proc. Siberian Div., Ist Theor. and Applied Mechanics,1(18), No. 2, 75–98 (1987).

  8. Y. S. Kachanov, “On the resonant nature of the breakdown of a laminar boundary layer,”J. Fluid Mech.,184, 43–74 (1987).

    ADS  Google Scholar 

  9. Y. S. Kachanov, “Resonant-wave nature of breakdown of a boundary layer,” in:Models of Mechanics of Continuous Medium [in Russian], Vladivostok (1989), pp. 66–93.

  10. Y. S. Kachanov, “Resonant-soliton nature of boundary layer transition,”Russian J. Theor. Appl. Mech.,1, No. 2, 141–173 (1991).

    ADS  MathSciNet  Google Scholar 

  11. T. Herbert, “Secondary instability of boundary layers,”Annu. Rev. Fluid. Mech.,20, 487–526 (1988).

    Article  ADS  Google Scholar 

  12. A. H. Nayfeh, “Nonlinear stability of boundary layers,” AIAA paper, No. 87-0044, New York (1987).

  13. Y. S. Kachanov, “Physical mechanisms of laminar-boundary layer transition,”Annu. Rev. Fluid Mech.,26, 411–482 (1993).

    ADS  Google Scholar 

  14. L. S. Kovasznay, H. Komoda, and B. R. Vasudeva, “Detailed flow field in transition,” Heat Transfer and Fluid Mech. Inst.: Proc. Annu. Meeting, Washington, Stanford (1962), pp. 1–26.

  15. J. Tani and H. Komoda, “Non-linear development of disturbances in the laminar boundary layer,”J. Aerosp. Sci.,29, No. 4, 440 (1962).

    Google Scholar 

  16. H. Komoda, “Non-linear development of disturbances in the laminar boundary layer,”Phys. Fluids Suppl.,10, S87-S94 (1967).

    Article  Google Scholar 

  17. F. R. Hama and J. Nutant, “Detailed flow-field observations in the transition process in a thick boundary layer,” Heat Transfer and Fluid Mech. Inst.: Proc. Annu. Meeting, Pasadena, 1963. Stanford, (1963), pp. 77–93.

  18. Y. S. Kachanov, V. V. Kozlov, and V. Y. Levchenko,Occurrence of Turbulence in Boundary Layers [in Russian], Naũka, Novosibirsk (1982).

    Google Scholar 

  19. Y. S. Kachanov, V. V. Kozlov, V. Y. Levchenko, and M. P. Ramazanov, “Experimental study of theK-regime breakdown of a laminar boundary layer,” Preprint No. 9-84, Inst. Theor. and Appl. Mech., Siberian Div. USSR Acad. Sci., Novosibirsk (1984).

    Google Scholar 

  20. Y. S. Kachanov, V. V. Kozlov, V. Y. Levchenko, and M. P. Ramazanov, “On the nature of K-breakdown of a laminar boundary layer,” in:Laminar Turbulent Transition, Springer, Berlin (1985), pp. 61–73.

    Google Scholar 

  21. Y. S. Kachanov, V. V. Kozlov, V. Y. Levchenko, and M. P. Ramazanov, “The nature of theK-regime of breakdown of a laminar boundary layer,”Izv. Sib. Otd. Akad. Nauk SSSR, Ser. Tekh. Nauk, No. 2, 124–158 (1989).

    MathSciNet  Google Scholar 

  22. A. D. D. Craik, “Nonlinear resonant instability in boundary layers,”J. Fluid Mech.,50, 393–413. (1971).

    ADS  MATH  Google Scholar 

  23. M. B. Zelman and I. I. Maslennikova, “Resonant amplification of spatial disturbances in boundary layers,” in:Instability of Sub- and Supersonic Flows [in Russian], Inst. Theor. and Appl. Mech., Siberian Div. USSR Acad. Sci., (1982), pp. 5–15.

  24. T. Herbert, “Analysis of the subharmonic route to transition in boundary layers,” AIAA paper No. 84-0009, New York (1984).

  25. A. H. Nayfeh and A. N. Bozatli, “Nonlinear wave interactions in boundary layers,” AIAA paper No. 79-1456, New York (1979).

  26. V. I. Borodulin, S. V. Dryganets, Y. S. Kachanov et al., “Receptivity of a transitional boundary layer to small background disturbances,” in:Problems of Modeling in Wind Tunnels [in Russian], Int. Seminar, July 25–29, 1988, Novosibirsk, Vol. 1 (1989), pp. 107–116.

  27. V. I. Borodulin and Y. S. Kachanov, “Cascade of harmonic and parametric resonances in theK-regime of boundary layer breakdown,” in:Modeling in Mechanics [in Russian], Inst. Theor. and Appl. Mech., Siberian Div. USSR Acad. Sci.,3(20), No. 2, 38–45 (1989).

  28. V. I. Borodulin and Y. S. Kachanov, “Role of the mechanism of local secondary instability in theK-breakdown of a boundary layer,”Izv. Sib. Otd. Akad. Nauk SSSR, Ser. Tekh. Nauk, No. 5, 65–77 (1988).

    Google Scholar 

  29. R. Betchov, “On the mechanism of turbulent transition,”Phys. Fluids,3, 1026–1027 (1960).

    Article  Google Scholar 

  30. H. F. Greenspan and D. J. Benney, “On shear-layer instability, breakdown and transition,”J. Fluid Mech.,15, 133–153 (1963).

    ADS  MathSciNet  Google Scholar 

  31. M. T. Landahl, “Wave mechanics of breakdown,”J. Fluid Mech.,56, No. 4, 755–802 (1972).

    ADS  Google Scholar 

  32. M. Nishioka, M. Asai, and S. Isida, “An experimental investigation of the secondary instability,” in:Laminar-Turbulent Transition, Springer, Berlin (1980), pp. 37–46.

    Google Scholar 

  33. V. I. Zhuk and O. S. Ryzhov, “On locally inviscid disturbances in boundary layers with self-induced pressure,”Dokl. Akad. Nauk SSSR,263, No. 1, 56–59 (1982).

    MathSciNet  Google Scholar 

  34. F. T. Smith and O. R. Buggraf, “On the development of large-sized short-scaled disturbances in boundary layers,”Proc. Roy. Soc. London. Ser. A.,399, No. 1816, 25–55 (1985).

    ADS  Google Scholar 

  35. A. P. Rothmayer and F. T. Smith, “Strongly nonlinear wave-packets in boundary layers,”Trans. ASME, Ohio, Cincinnati, 67 (June 1987).

  36. O. S. Ryzhov and I. V. Savenkov, “Asymptotic approach to hydrodynamic stability theory,”Mat. Modelirovanie,1, No. 4, 61–68 (1987).

    Google Scholar 

  37. V. I. Borodulin and Y. S. Kachanov, “Coherent structure-solitons in a boundary layer and mechanism of their formation,” in: Modern Problems in Fluid and Gas Mechanics [in Russian], Irkutsk (1990), pp. 65–66.

  38. V. I. Borodulin and Y. S. Kachanov, “Experimental study of soliton-like coherent structures in boundary layer,” Proc. 19th Session, Scientific and Methodological Seminar on Ship Hydrodynamics, Varna, Bulgaria, Vol. 2 (1990), pp. 99-1–99-10.

  39. Y. S. Kachanov, “Secondary and cascade resonant instabilities of boundary layers. Wave-resonant concept of a breakdown and its substantiation,” in:Laminar-Turbulent Transition, Springer, Berlin (1990), pp. 65–80.

    Google Scholar 

  40. Y. S. Kachanov, “The mechanisms of formation and breakdown of soliton-like coherent structures in boundary layers,” in:Advances in Turbulence Vol. 3, Springer, Berlin (1991), pp. 42–51.

    Google Scholar 

  41. O. S. Ryzhov, “On the formation of ordered vortex structures from unstable oscillations in a boundary layer,”Zh. Vychisl. Mat. Mat. Fiz.,29, No. 12, 1804–1814 (1990).

    MathSciNet  Google Scholar 

  42. Y. S. Kachanov and O. S. Ryzhov, “Formation of solitons in transitional boundary layer: theory and experiment,”Sib. Fiz.-Tekh. Zh., No. 1, 34–52 (1992).

    MathSciNet  Google Scholar 

  43. Y. S. Kachanov, O. S. Ryzhov, and F. T. Smith, “Formation of solitons in transitional boundary layers: theory and experiment,”J. Fluid Mech.,251, 273–279 (1993).

    ADS  MathSciNet  Google Scholar 

  44. H. Fasel, “Numerical simulation of instability and transition in boundary layer flows,” in:Laminar-Turbulent Transition, Springer, Berlin (1990), pp. 587–598.

    Google Scholar 

  45. U. Rist, “Numerische Untersuchung der räumlichhen, dreidimensionalen Störungsentwicklung beim nzschichtumschlag,” Diss., Institute A für Mechanik der Universität Stuttgart, Stuttgart (1990).

    Google Scholar 

  46. U. Rist and H. Fasel, “Spatial three-dimensional numerical simulation of laminar-turbulent transition in a flat-plate boundary layer,” Boundary Layer Transition and Control Conference, Cambridge, U.K. (1991), pp. 25.1–25.9.

  47. L. Kleiser and T. A. Zang, “Numerical simulation of transition in wall-bounded shear-flows,”Annu. Rev. Fluid Mech.,23, 495–537 (1991).

    Article  ADS  Google Scholar 

  48. S. V. Dryganets, Y. S. Kachanov, V.Y. Levchenko, and M. P. Ramazanov, “Resonant flow randomization in theK-regime of boundary layer transition,”Prikl. Mekh. Tekh. Fiz., No. 2, 83–94 (1990).

    Google Scholar 

  49. Y. S. Kachanov, V. V. Kozlov, and V. Y. Levchenko “The development of small-amplitude oscillations in a laminar boundary layer,”Uch. Zap. TsAGI.,6, No. 5, 137–140 (1975).

    ADS  Google Scholar 

  50. Y. S. Kachanov and A. Michalke, “Three-dimensional instability of flat-plate boundary layers: Theory and experiment,”Eur. J. Mech. B/Fluids,13, No. 4, 401–422 (1994).

    Google Scholar 

  51. V. M. Gilyov, Y. S. Kachanov, and V. V. Kozlov, “Development of a spatial wave packet in a boundary layer,” Preprint No. 34-81, Inst. Theor. and Appl. Mech., Siberian Div. USSR Acad. Sci., Novosibirsk (1981).

    Google Scholar 

  52. V. M. Gilyov, Y. S. Kachanov, and V. V. Kozlov, “Development of a spatial wave packet in a boundary layer,”Izv. Sib. Otd. Akad. Nauk SSSR, Ser. Tekh. Nauk, No. 13, No. 3, 27–37 (1983).

    Google Scholar 

  53. G. Schlichting,Theory of Boundary Layers [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  54. C. F. Knapp and P. J. Roache, “A combined visual and hot-wire anemometer investigation of boundary-layer transition,”AIAA J.,6, No. 1, 29–36 (1968).

    Google Scholar 

  55. R. E. Falco, “Coherent motions in the outer region of turbulent boundary layers,”Phys. Fluids Suppl.,20, No. 10, S124-S132 (1977).

    ADS  Google Scholar 

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Institute of Theoretical and Applied Mechanics, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 36, No. 4, pp. 60–97, July–August, 1995.

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Borodulin, V.I., Kachanov, Y.S. Formation and development of coherent structures in a transitional boundary layer. J Appl Mech Tech Phys 36, 532–564 (1995). https://doi.org/10.1007/BF02371277

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