Skip to main content
Log in

Investigation of transport processes in the high-temperature boundary layer on an ablating graphite surface

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

A study is made of the transport processes in the boundary layer on a graphite surface in a stream of dissociated air. The diffusion and sublimation ablation regimes of the grahite are considered. In contrast to earlier investigations [1, 3], allowance is made for a larger number of components in the boundary layer, the multicomponent nature of the diffusion, and the disequilibrium of the chemical reactions in the gas phase. On the basis of a critical analysis of the experimental and theoretical investigations of the intermolecular interaction potentials, a model is chosen that makes it possible to calculate the transport properties of gas mixtures containing ablation products with satisfactory accuracy. The results of the numerical investigation of the problem were used to obtain the dependences of the characteristics of heat and mass transfer on the stagnation parameters of the oncoming flow and the temperature of the surface. The influence of the extent to which the chemical reactions are in disequilibrium on these characteristics is estimated. The results of the calculations are presented in the form of approximation formulas. The method of numerical solution is described elsewhere [4, 5].

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. Yu V. Polezhaev and F. B. Yurevich, Heat Shielding [in Russian], Énergiya, Moscow (1976), p. 391.

    Google Scholar 

  2. S. M. Scala and L. M. Gilbert, “Sublimation of graphite at hypersonic speeds,” AIAA J.,3, 1635 (1965).

    Google Scholar 

  3. N. A. Anfimov, “Combustion of graphite in an airstream at high temperatures,” Izv. Akad. Nauk SSSR, Mekh. Mashinostr., No. 5, 3 (1964).

    Google Scholar 

  4. V. G. Gromov, “Calculation of laminar boundary layer in the presence of nonequilibrium chemical reactions,” in: New Applications of the Grid Method in Gas Dynamics, No. 1 [in Russian], Mosk. Un., Moscow (1971), pp. 31–63.

    Google Scholar 

  5. N. A. Eremyan, “A problem of the heat fluxes and ablation of material from the surface of spherical bodies in the atmosphere of the Earth,” in: Proc. 22nd Scientific Conference of the Moscow Physicotechnical Institute. Aerodynamics and Applied Mathematics Series [in Russian], Dolgoprudnyi (1977), pp. 21–24.

  6. Thermodynamic Properties of Individual Substances in Four Volumes [in Russian], Nauka, Moscow (1978).

  7. Nonequilibrium Physicochemical Processes in Aerodynamics [in Russian], Mashinostroenie, Moscow (1972), p. 344.

  8. V. N. Kondrat'ev, Rates of Gas-Phase Reactions. Handbook [in Russian], Nauka, Moscow (1970), p. 351.

    Google Scholar 

  9. “Nonequilibrium ionization accompanying the motion of hypersonic aircraft,” TsAGI. Obzory. Perebody. Referaty, No. 527, 112 (1977).

  10. O. P. Shatalov, “Dissociation of molecular oxygen in the- absence of vibrational equilibrium,” Fiz. Gorenlya Vzryva,9, 699 (1973).

    Google Scholar 

  11. J. O. Hirschfelder, C. F. Curtis, and R. B. Bird, Molecular Theory of Gases and Liquids, New York (1965).

  12. R. C. Reid and T. K. Sherwood, The Properties of Gases and Liquids, McGraw-Hill, New York (1966).

    Google Scholar 

  13. A. V. Lavushchev and V. E. Lyusternik, “Experimental determination of the viscosity of nitrogen up to 2000 °K,” Teplofiz. Vys. Temp.,16, 209 (1978).

    Google Scholar 

  14. R. McBinney and K. Sutcliffe, Quantum Mechanics of Molecules [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  15. Yu. N. Belyaev, N. V. Kamyshov, V. B. Leonas, and A. V. Sermyagin, “The experimental investigation of short-range repulsive forces between atoms and molecules of atmospheric gases,” Entropie, No. 30, 173 (1969).

    Google Scholar 

  16. Yu. N. Belyaev, “Study of intermolecular forces in the region of intermediate distances,” Nauchn. Tr. Inst. Mekh. Mosk. Gos. Univ., No. 18, 88 (1972).

    Google Scholar 

  17. V. B. Leonas, “Investigations of short-range intermolecular forces,” Usp. Fiz. Nauk.,107, 29 (1972).

    Google Scholar 

  18. I. Amdur, M. S. Longmire, and E. A. Mason, “Scattering of high-velocity neutral particles. XII,” J. Chem. Phys.,35, 895 (1961).

    Google Scholar 

  19. K. S. Yun and E. A. Mason, “Collision integrals for the transport properties of dissociating air at high temperatures,” Phys. Fluids,5, 380 (1962).

    Google Scholar 

  20. S. J. Cubley and E. A. Mason, “Atom-molecule and molecule-molecule potentials and transport collision integrals for high-temperature air species,” Phys. Fluids,18, 1109 (1975).

    Google Scholar 

  21. M. Capitelly and R. S. Devoto, “Transport coefficients of high-temperature nitrogen,” Phys. Fluids,16, 1835 (1973).

    Google Scholar 

  22. J. T. Vanderslice, E. A. Mason, and Lippincott, “Interaction between ground state nitrogen atoms and molecules,” J. Chem. Phys.,30, 129 (1959).

    Google Scholar 

  23. E. A. Mason, J. T. Vanderslice, and W. G. Maisch, “Interaction between oxygen and nitrogen: O-N, O-N2, O2-N2,” J. Chem. Phys.,31, 738 (1959).

    Google Scholar 

  24. J. T. Vanderslice, E. A. Mason, and W. G. Maisch, “Interactions between ground state oxygen atoms and molecules,” J. Chem. Phys.,32, 515 (1960).

    Google Scholar 

  25. R. A. Svehla, “Estimated viscosities and thermal conductivities of gases at high temperatures,” Tech. Rep. NASA, NR-132, 120 (1963).

    Google Scholar 

  26. T. A. Dolton, R. E. Maurer, and H. E. Goldstein, “Thermodynamic performance of carbon in hyperthermal environments,” AIAA Paper, N-754, 12 (1968).

    Google Scholar 

  27. J. H. Lundell and R. R. Dickey, “Ablation of ATJ graphite at high temperatures,” AIAA J.,11, 216 (1973).

    Google Scholar 

  28. J. A. Fay and F. R. Ridell, “Theory of stagnation point heat transfer in dissociated air,” J. Aeronaut. Sci.,25, 73 (1958).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 97–103, May–June, 1983.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gromov, V.G., Eremyan, N.A. Investigation of transport processes in the high-temperature boundary layer on an ablating graphite surface. Fluid Dyn 18, 416–421 (1983). https://doi.org/10.1007/BF01090561

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01090561

Keywords

Navigation