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Propagation of disturbances in three-dimensional supersonic boundary layers

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Abstract

The propagation of disturbances in three-dimensional boundary layers under the conditions of a global and a local strong inviscid-viscous interaction is analyzed. A system of subcharacteristics is found based on the condition for the pressure-related subcharacteristic, and an algebraic relation that gives the propagation velocity of disturbances is obtained. The velocity of propagation of disturbances is calculated for two- and three-dimensional flows. The studied problem is of great importance for accurately formulating problems for three-dimensional unsteady boundary-layer equations and for constructing adequate computational models.

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References

  1. K. C. Wang, “On the determination of the zones of influence and dependence for three-dimensional boundary-layer equations,”J. Fluid Mech.,48, 397–404 (1971).

    Article  MATH  ADS  Google Scholar 

  2. K. C. Wang, “Aspects of multitime initial-value problem originating from boundary-layer equations,”Phys. Fluids,18, No. 8, 951–955 (1975).

    Article  MATH  ADS  Google Scholar 

  3. G. V. Voitkova and V. V. Lunev, “Discontinuous solutions of boundary-layer equations with a positive pressure gradient,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 53–62 (1991).

    MathSciNet  Google Scholar 

  4. M. J. Lighthill, “On boundary layers and upstream influences, Part 2, Supersonic flows without separation,”Proc. Roy. Soc. London, Ser. A,217, No. 1131, 478–507 (1953).

    Article  MATH  ADS  Google Scholar 

  5. V. Ya. Neiland, “On the laminar boundary-layer separation in a supersonic flow,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 53–57 (1969).

    MATH  Google Scholar 

  6. K. Stewartson and P. G. Williams, “Self-induced separation,”Proc. Roy. Soc. London, Ser. A,312, No. 1509, 181–206.

  7. V. Ya. Neiland, “Upstream propagation of disturbances in a hypersonic flow interacting with boundary layer,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 40–49 (1970).

    MathSciNet  Google Scholar 

  8. V. V. Mikhailov, V. Y. Neiland, and V. V. Sychev, “The theory of viscous hypersonic flow,”Ann. Rev. Fluid Mech.,3, 371–396 (1971).

    Article  ADS  Google Scholar 

  9. V. Ya. Neiland, “On the theory of interaction with a boundary layer for separated two-dimensional and three-dimensional flows. Part 1. Three-dimensional flows,”Uch. Zap. TsAGI,5, No. 2 (1974).

  10. L. Crocco, “Considerations on the shock-boundary layer interaction,” in:Proc. Conf. High-Speed Aeron., Polytech. Inst., Brooklyn (1955), pp. 75–112.

  11. I. I. Lipatov, “Disturbance propagation in supersonic boundary layers,”Prikl. Mekh. Tekh. Fiz.,60, No. 3, 457–464 (1996).

    MATH  MathSciNet  Google Scholar 

  12. I. I. Lipatov, “Disturbance propagation in supersonic boundary layers,” in:IUITAM Symp. on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers: Kluwer Acad. Publ., Dordrecht (1996), pp. 369–378.

    Google Scholar 

  13. I. I. Lipatov, “Internal shock formation in the laminar boundary layer due to supercrtical subcritical transition,” AIAA Paper No. 95-2217, New York (1995).

  14. W. D. Hayes and R. F. Probstein,Hypersonic Flow Theory, Academic Press, New York (1959).

    MATH  Google Scholar 

  15. D. R. Chapman, D. Kuehn, and H. Larson, “Investigation of separated flows with emphasis on the effect of transition,” Report No. 1356, NASA, New York (1958).

    Google Scholar 

  16. A. A. Kovalenko and I. I. Lipatov, “Hypersonic flow around a plate of finite length,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 66–73 (1991).

    MATH  Google Scholar 

  17. A. A. Kovalenko and I. I. Lipatov, “A study of the transition from a transcritical to a critical regime of inviscid-viscous interaction in the wake past a plate,”Prikl. Mekh. Tekh. Fiz., No. 3, 72–78 (1991).

    Google Scholar 

  18. H. Pearson, J. B. Holliday, and S. F. Smith, “A theory of the cylindrical ejector propelling nozzle,”J. Roy. Aeron. Soc.,62, No. 574, 746–751 (1958).

    Google Scholar 

  19. V. Ya. Neiland, “Peculiarities of the interaction and separation of a transcritical boundary layer,”Uch. Zap. TsAGI,18, No. 2, 30–45 (1987).

    MathSciNet  Google Scholar 

  20. K. Stewartson, “Further solution of the Falkner-Skan equation,”Proc. Cambridge Philos. Soc.,50, 454–465 (1954).

    Article  MATH  MathSciNet  Google Scholar 

  21. V. Ya. Neiland, “Some problems of the asymptotic theory of viscous-gas supersonic flows,”Tr. TsAGI, No. 1529, 1–125 (1977).

    Google Scholar 

  22. A. A. Kovalenko, “A study of a separated boundary layer strongly interacting with a hypersonic flow,”Uch. Zap. TsAGI,5, No. 6, 39–47 (1974).

    Google Scholar 

  23. S. Brown and K. Stewartson, “A non-uniqueness of the hypersonic boundary layer,”Quart. J. Mech. Appl. Math.,28, 75–90 (1975).

    MATH  Google Scholar 

  24. S. N. Brown, H. K. Chen, and C. J. Lee, “Inviscid-viscous interaction on triple deck scales in a hypersonic flow with strong wall cooling,”J. Fluid Mech.,220, 309–337 (1990).

    Article  MATH  MathSciNet  ADS  Google Scholar 

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Authors and Affiliations

  1. Moscow Physicotechnical Institute, 140160, Zhukovskii

    R. V. Krechetnikov

  2. Central Aerohydrodynamic Institute, 140160, Zhukovskii

    I. I. Lipatov

Authors
  1. R. V. Krechetnikov
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  2. I. I. Lipatov
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 3, pp. 116–127, May–June, 1999.

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Krechetnikov, R.V., Lipatov, I.I. Propagation of disturbances in three-dimensional supersonic boundary layers. J Appl Mech Tech Phys 40, 461–470 (1999). https://doi.org/10.1007/BF02468402

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  • DOI: https://doi.org/10.1007/BF02468402

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