Skip to main content
Log in

Temperature Factor Effect on the Disturbance Propagation in Hypersonic Flow past a Yawed Flat Plate

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The flow in the three-dimensional laminar boundary layer on a yawed flat plate of finite length is studied in the regime of strong viscous-inviscid interaction with a hypersonic flow. In the vicinity of the leading edge the flow functions are expanded in series under the assumption that the base pressure dependent on the transverse coordinate is given at the trailing edge of the plate. It is established that the expansions obtained include an indefinite function and its derivative with respect to the transverse coordinate. The corresponding boundary value problems are formulated and numerically solved, the eigenvalues are found, and it is shown that the exponent in the third term of the expansion differs from that in the second term only by one. The plate surface temperature effect on the flow parameters and the initiation of three-dimensional disturbances is investigated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. Lees, “On the boundary-layer equations in hypersonic flow and their approximate solutions,” J. Aeronaut. Sci. 20 (2), 143–145 (1953).

    Article  MathSciNet  Google Scholar 

  2. K. Stewartson, “On the motion of a flat plate at high speed in a viscous compressible fluid. II. Steady motion,” J. Aeronaut. Sci. 22 (5), 303–309 (1955).

    Article  MathSciNet  Google Scholar 

  3. R. J. Whalen, “Boundary-layer interaction on a yawed infinite wing in hypersonic flow,” J. Aerospace Sci. 26 (12), 839–841 (1959).

    Article  Google Scholar 

  4. V. Ya. Neiland, “Propagation of perturbations upstream with interaction between a hypersonic flow and a boundary layer,” Fluid Dynamics 5 (4), 559–566 (1970).

    Article  ADS  Google Scholar 

  5. V. Ya. Neiland, V. V. Bogolepov, G. N. Dudin, and I. I. Lipatov, Asymptotic Theory of Supersonic Viscous Gas Flows (Elsevier, Amsterdam, 2007).

    Google Scholar 

  6. S. N. Brown and K. Stewartson, “A non-uniqueness of the hypersonic boundary layer,” Quart. J. Mech. Appl. Math. 28 (1), 75–90 (1975).

    Article  Google Scholar 

  7. A. A. Kovalenko, “Investigation of boundary layer separation on strong interaction with a hypersonic gas flow,” Uch. Zap. TsAGI 5 (6), 39–47 (1974).

    Google Scholar 

  8. I. G. Kozlova and V. V. Mikhailov, “Strong viscous interaction on triangular and slipping wings,” Fluid Dynamics 5 (6), 982–986 (1970).

    Article  ADS  Google Scholar 

  9. G. N. Dudin and V. Ya. Neiland, “Generation of three-dimensional disturbances in a boundary layer on strong interaction with a supersonic flow,” Fluid Dynamics 53 (1), 86–94 (2018).

    Article  MathSciNet  Google Scholar 

  10. G. N. Dudin and V. Ya. Neiland, “Influence of the plate surface temperature on the propagation of disturbances in a hypersonic flow,” TsAGI Sci. J. 49 (5), 477–494 (2018).

    Article  Google Scholar 

  11. G. N. Dudin and V. Ya. Neiland, “Propagation of disturbances on a yawed plate in a regime of strong interaction,” Doklady Physics 63 (11), 467–470 (2018).

    Article  ADS  Google Scholar 

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

    MATH  Google Scholar 

  13. G. N. Dudin, Delta Wings in a Viscous Hypersonic Flow (Moscow Institute of Physics and Technology, 2011) [in Russian].

    Google Scholar 

Download references

Funding

The study was carried out with the support of the Russian Foundation for Basic Research (project no. 18-01-00211).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. N. Dudin.

Additional information

Declaration of Conflicting Interests

The Authors declare no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

Russian Text © The Author(s), 2019, published in Izvestiya RAN. Mekhanika Zhidkosti i Gaza, 2019, No. 5, pp. 59–69.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dudin, G.N., Neiland, V.Y. Temperature Factor Effect on the Disturbance Propagation in Hypersonic Flow past a Yawed Flat Plate. Fluid Dyn 54, 647–657 (2019). https://doi.org/10.1134/S0015462819040049

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0015462819040049

Keywords

Navigation