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The temperature recovery factor in a boundary layer on a permeable plate

  • Heat and Mass Transfer and Physical Gasdynamics
  • Published:
High Temperature Aims and scope

Abstract

A numerical investigation of the boundary layer on a permeable wall in a supersonic gas flow is performed using a differential turbulence model. Temperature recovery factors are obtained for a series of Prandtl numbers and gas suction or injection in a wide range of the permeability factor from critical injection to asymptotic suction. With the example of air injection into a supersonic air flow, two methods for determining the temperature of a heat-insulated permeable wall are considered. The first is to solve the problem with a boundary condition of zero heat flux to the wall. The second is similar to an experimental method when the temperature of the gas injected at a section along the plate length becomes equal to the wall temperature. The heat-insulated wall temperatures and temperature recovery factors obtained by these two methods for injection below the critical one are close to each other. In case of critical injection, these two methods yield different results.

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References

  1. Shirokow, M., Zh. Tekh. Fiz., 1936, vol. 3, no. 12, pp. 1020.

    Google Scholar 

  2. Schlichting, H., Grenzschicht-Theorie (Theory of Boundary Layer), Karlsruhe: Braun, 1951.

    MATH  Google Scholar 

  3. Leontiev, A.I., Lushchik, V.G., and Yakubenko, A.E., High Temp., 2006, vol. 44, no. 2, pp. 234.

    Article  Google Scholar 

  4. Makarov, M.S., Cand. Sci. (Phys.–Math.) Dissertation, Novosibirsk: Inst. for High Temp., Sib. Branch, Russ. Acad. Sci., 2007.

    Google Scholar 

  5. Lushchik, V.G. and Makarova, M.S., High Temp., 2016, vol. 54, no. 3, pp. 377.

    Article  Google Scholar 

  6. Leont’ev, A.I., Lushchik, V.G., and Yakubenko, A.E., Fluid Dyn. (Engl. Transl.), 2008, vol. 43, no. 5, pp. 799.

    Article  ADS  Google Scholar 

  7. Leontiev, A.I., Lushchik, V.G., and Yakubenko, A.E., Int. J. Heat Mass Transfer, 2009, vol. 52, pp. 4001.

    Article  Google Scholar 

  8. Makarov, M.S., in Tr. XVII Shkoly-seminara “Problemy gazodinamiki i teplomassoobmena v aerokosmicheskikh tekhnologiyakh” (Proc. XVII Workshop on Problems of Gas Dynamics and Heat and Mass Transfer in Aerospace Technology), Moscow: Mosk. Energ. Inst., 2009, vol. 1, pp. 374.

    Google Scholar 

  9. Burtsev, S.A., High Temp., 2014, vol. 52, no. 1, pp. 12.

    Article  Google Scholar 

  10. Burtsev, S.A. and Leont’ev, A.I., High Temp., 2014, vol. 52, no. 2, pp. 297.

    Article  Google Scholar 

  11. Burtsev, S.A., Karpenko, A.P., and Leont’ev, A.I., High Temp., 2016, vol. 54, no. 4, pp. 573.

    Article  Google Scholar 

  12. Vinogradov, Yu.A., Zditovets, A.G., and Strongin, M.M., Fluid Dyn. (Engl. Transl.), 2013, vol. 48, no. 5, pp. 687.

    Article  Google Scholar 

  13. Makarova, M.S., Tepl. Protsessy Tekh., 2012, no. 7, pp. 291.

    Google Scholar 

  14. Zditovets, A.G., Vinogradov, Yu.A., Strongin, M.M., Titov, A.A., and Medvetskaya, N.V., Tepl. Protsessy Tekh., 2012, no. 6, pp. 253.

    Google Scholar 

  15. Lushchik, V.G., Pavel’ev, A.A., and Yakubenko, A.E., Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, 1978, no. 3, pp. 13.

    ADS  Google Scholar 

  16. Lushchik, V.G., Pavel’ev, A.A., and Yakubenko, A.E., Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, 1986, no. 2, pp. 40.

    Google Scholar 

  17. Lushchik, V.G., Pavel’ev, A.A., and Yakubenko, A.E., Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, 1988, no. 6, pp. 42.

    ADS  Google Scholar 

  18. Kutateladze, S.S. and Leont’ev, A.I., Teplomassoobmen i trenie v turbulentnom pogranichnom sloe (Heat and Mass Transfer and Friction in Turbulent Boundary Layer), Moscow: Energoatomizdat, 1985.

    Google Scholar 

  19. Baryshev, Yu.V., Vinogradov, Yu.A., Leont’ev, A.I., and Rozhdestvenskii, V.I., Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, 1972, no. 2, pp. 131.

    Google Scholar 

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Correspondence to V. G. Lushchik.

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Original Russian Text © A.I. Leontiev, V.G. Lushchik, M.S. Makarova, 2017, published in Teplofizika Vysokikh Temperatur, 2017, Vol. 55, No. 2, pp. 255–261.

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Leontiev, A.I., Lushchik, V.G. & Makarova, M.S. The temperature recovery factor in a boundary layer on a permeable plate. High Temp 55, 246–252 (2017). https://doi.org/10.1134/S0018151X17020080

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  • DOI: https://doi.org/10.1134/S0018151X17020080

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