Skip to main content
Log in

Radiative and convective heat transfer in hypersonic flow around a blunt body

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The heat transfer in the vicinity of the critical point is investigated for hypersonic air flow around a blunt body. The gas-dynamical conservation equations are solved simultaneously with the radiative transport equation in integral form. Allowance is made for the viscosity, heat conduction, and the actual radiation parameters of air, including spectral line emission. Profiles are obtained for the thermodynamic variables along the critical line. The dependence of the radiative and convective components of the aerodynamic heating on the velocity and pressure ahead of the shock front as well as the radius of curvature of the blunt nose section is discussed. Approximate relations having the form of similarity laws are derived for the heat fluxes in the vicinity of the critical point. The limits of applicability of the thermodynamic equilibrium approximation in the shock-compressed layer are discussed. The influence of absorption of radiation from the compressed layer by the cold freestream on the aerodynamic heating is considered. Attention is given in this case to the dependence of the spectral absorption coefficient for the cold air on the intensity of the radiation incident upon it.

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

Literature Cited

  1. O. M. Belotserkovskii, L. M. Biberman, S. Ya. Bronin, A. N. Lagar'kov, and V. N. Fomin, “Flow around and heating of blunt bodies by a hypersonic gas stream with allowance for radiative transport,” Teplofiz. Vys. Temp.,7, No. 3 (1969).

  2. Tables of the Thermodynamic Functions of Air at Temperatures of 200-6000-12,00–20,000°K [in Russian], Izd. Akad. Nauk SSSR, Moscow (1957, 1959, 1962).

  3. C. F. Hansen, Approximation for the Thermodynamic and Transport Properties of High-Temperature Air, NASA Tech. Rep. TRR-50 (1959).

  4. I. N. Chang and G. W. Sutton, “Spectral emissivity measurements of ablating phenolic graphite,” AIAA Journal,7, No. 6, 1110 (1969).

  5. S. Ya Bronin and A. N. Lagar'kov, “Radiative transport in inhomogeneous layers in the spectral line of a shock profile,” Teplofiz. Vys. Temp.,8, No. 4 (1970).

  6. I. V. Avilova, L. M. Biberman, V. S. Vorob'ev, V. M. Zamalin, G. A. Kobzev, A. N. Lagar'kov, A. Kh. Mnatsakanyan, and G. É. Norman, “Optical properties of hot air,” J. Quant. Spectrosc. and Radiative Transfer,9, 89 (1969).

    Google Scholar 

  7. I. V. Avilova, L. M. Biberman, V. S. Vorob'ev, V. M. Zamalin, G. A. Kobzev, A. N. Lagar'kov, A. Kh. Mnatsakanyan, and G. É. Norman, Optical Properties of Hot Air [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  8. S. Ya. Bronin, “Interaction of radiation with the boundary layer at the stagnation point.,” Teplofiz. Vys. Temp.8, No. 3 (1970).

  9. V. V. Lunev and A. N. Rumynskii, “Interaction of a boundary layer with an external flow due to radiative heat transfer,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 6 (1961).

  10. L. M. Biberman, S. Ya. Bronin, and A. A. Lagar'kov, “Aerodynamic heating of a blunt body in hypersonic flow,” Proc. Special Section on Numerical Methods in Gas Dynamics, Novosibirsk, 1969 [in Russian], Izd. VTs Akad. Nauk SSSR, Moscow (1972).

    Google Scholar 

  11. R. B. Dirling, W. S. Rigdon, and M. Thomas, “Stagnation-point heating including, spectral radiative transfer,” Proc. Heat Transfer and Fluid Mech. Inst. (1967).

  12. H. Hoshizaki and K. H. Wilson, “Convective and radiative heat transfer during superorbital entry,” AIAA Journal,5, No. 1 (1967).

  13. N. A. Anfimov and V. P. Shari, “Solution of the set of equations of motion for a selectively radiating gas in a shock layer,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 3 (1968).

  14. W. A. Page, D. L. Compton, W. I. Borucki, D. L. Ciffone, and D. M. Cooper, Radiative Transport in Inviscid Nonadiabatic Stagnation-Region Shock Layers, AIAA Paper (June 1968), pp. 68–784.

  15. I. N. Chin, “Radiation transport for stagnation flows including effects of lines and ablation layers,” AIAA Journal,7, No. 7, 1310 (1969).

    Google Scholar 

  16. W. B. Olstad, Blunt Body Stagnation-Region Flow with Nongray Radiation Heat Transfer-A Singular Perturbation Solution, NASA Rep. R-295 (1969).

  17. W. B. Olstad, Correlations for stagnation-point radiative heat transfer,” AIAA Journal7, No. 1 (1969).

  18. H. Hoshizaki and L. E. Lasher, “Convective and radiative heat transfer to an ablating body,” AIAA Journal,6, No. 8 (1968).

  19. L. B. Callis, Time Asymptotic of Blunt Body Stagnation-Region Flows with Nongray Emission and Absorption of Radiation, NASA Tech. Rep. (1970).

  20. M. Thomas, Radiation Transfer through High-Temperature Shock Layers, AIAA Paper (1968), pp. 68–788.

  21. J. Wilson, “Ionization rate of air behind high-speed shock waves,” Phys. Fluids,9, No. 10 1913 (1966).

    Google Scholar 

  22. M. B. Zheleznyak and A. Kh. Mnatsakanyan, “Ionization relaxation behind shock waves in air,” Teplofiz. Vys. Temp.,6, No. 3 (1968).

  23. M. B. Zheleznyak, A. Kh. Mnatsakanyan, and I. T. Yakubov, “Relaxation and nonequilibrium radiation behind shock waves in air,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 3 (1970).

  24. R. A. Allen and P. M. Rose, Nonequilibrium and Equilibrium Radiation at Supersatellite Re-Entry Velocities, IAS Paper (1963), pp. 63–77.

  25. I. D. Teare, S. Georgiev, and R. A. Allen, in: Hypersonic Flow Researches, F. R. Riddel (editor), Academic Press, New York (1961), p. 211.

    Google Scholar 

  26. W. H. Dorrance, Viscous Hypersonic Flow, McGraw-Hill, New York (1963).

    Google Scholar 

  27. S. Ya. Bronin and A. N. Lagar'kov, “Role of radiation in the formation of a nonequilibrium boundary layer,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk i Gaza, No. 4 (1971).

  28. Ya. B. Zel'dovich and Yu. P. Raizer, “Large-amplitude shock waves in gases,” Usp. Fiz. Nauk,63, 613 (1957).

    Google Scholar 

  29. L. M. Biberman and B. A. Veklenko, “Radiation properties ahead of a shock front,” Zh. Éksp. Teor. Fiz.,37, 164 (1959).

    Google Scholar 

  30. A. N. Lagar'kov and I. T. Yakubov, “Influence of radiation on the state of the gas ahead of a shock front,” Opt. i Spektrosk,14, No. 2 (1963).

  31. L. M. Biberman, V. G. Sevast'yanenko, and I. T. Yakubov, “Photodissociation of oxygen ahead of a shock front,” Teplofiz. Vys. Temp.,2, No. 3 (1964).

Download references

Authors

Additional information

Moscow. Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 112–123, September–October, 1972.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Biberman, L.M., Bronin, S.Y. & Lagar'kov, A.N. Radiative and convective heat transfer in hypersonic flow around a blunt body. Fluid Dyn 7, 800–809 (1972). https://doi.org/10.1007/BF01205759

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01205759

Keywords

Navigation