Conjugate heat and mass transfer at the critical point of a blunt body in a high-speed dissociate gas flow around it

Аuthors

Tushavina O. V.

,

e-mail: tushavinaov@mai.ru

Abstract

The work considers heat and mass transfer in the vicinity of the anterior critical point of a blunted cone when it is flowed by a high-speed dissociating air flow based on an approximate analytical solution of the complete boundary layer equations in Dorodnitsyn — Liza variables. The convective and diffusive heat fluxes supplied to the blunting surface are determined, as well as the surface temperature from the balance of convective-diffusive, radiant and heat fluxes diverted by thermal conductivity inside the thermal protection of the aircraft. The results of numerical calculations of heat fluxes to the body and body surface temperatures in a wide range of Mach numbers of the incoming flow and the recombination rate constant of the atomic component on the catalytically active wall are obtained.

Keywords:

viscous gas dynamic flow, dissociation, recombination, Mach numbers, recombination rate constant of atomic component, thermal conductivity; radiation, surface temperature, boundary layer equations, Prandtl, Schmidt, Lewis numbers

References

1. Lykov A.V. Teplomassoobmen [Heat and mass transfer]. Moscow, Energiya, 1978, 480 p.

2. Formalev V.F., Kolesnik S.A. Matematicheskoe modelirovanie sopryazhennogo teploobmena mezhdu vyazkimi gazodinamicheskimi techeniyami i anizotropnymi telami [Mathematical modeling of conjugate heat transfer between viscous gasр–dynamic flows and anisotropic bodies]. 2nd edition. Moscow, LENAND, 2019, 320 p.

3. Formalev V.F., Kuznetsova E.L. Teplomassoperenos v anizotropnykh telakh pri aerogazodinamicheskom nagreve [Heat and mass transfer in anisotropic bodies under aerogasodynamic heating]. Moscow, MAI-PRINT, 2011, 300 p.

4. Formalev V.F., Kolesnik S.A. Conjugate heat transfer between wall-mounted gas dynamic flows and anisotropic bodies. Thermophysics of high temperatures, 2007, vol. 37, no. 5, pp. 772–778.

5. Nikitin P.V., Sotnik E.V. Catalysis and radiation in spacecraft thermal protection systems, monograph. Moscow, Izdatel’stvo “Janus-K”, RFBR, 2013, 435 p.

6. Dorrens U.H. Hypersonic flows of viscous gas. Moscow, Izdatel’stvo “Mir”, 1966, 440 p.

7. Surzhikov S.T. Computational study of aerothermodynamics of hypersonic flow of blunted bodies on the example of the analysis of experimental data. Moscow, PMekh RAN, 2011, 192 p.

8. Nikitin P.V. Heterogeneous flows in innovative technologies: monograph. Moscow, Izdatel’stvo “Janus-K”, RFBR, 2010, 245 p.

9. Petr V.N., Tushavina O.V., Shkuratenko A.A. Calculation of heat transfer on the catalytically active surface of high– speed aircraft. INCAS Bulletin, vol. 11, 2019, pp. 191–203.

10. Astapov A.N., Zhavoronok S.I., Kurbatov A.S., Rabinskiy L.N., Tuchavina O.V. Main ploblems in the creation of thermal–protection systems based on structurally heterogeneous matherials and the methods of their solution. A. Reviev. High Temperature, 2021, vol. 59, no. 2, pp. 221–247.

11. Vaganov A.V., Zhestkov B.E., Senyuyev I.V., Tselunov M.M., Shtapov V.V., Sakharov V.I. Metodika issledovaniya neravnovesnogo teploobmena i kataliticheskikh svoistv vysokotemperaturnykh materialov [Methods of investigation of nonequilibrium heat transfer and catalytic properties of high-temperature materials]. Proceedings of the XXX Scientific and Technical Conference on aerodynamics of P. Volodarsky, April 25–26, 2019. TsAGI, 2019, pp. 74–75.

12. Lunev V.V. Giperzvukovaya aerodinamika [Hypersonic aerodynamics]. Moscow, Mashinostroenie, pp. 1975, 328.

13. Schlichting G. Theory of the boundary layer [Teoriya pogranichnogo sloya]. Moscow, Nauka, 1969, p. 533.