Fluid Dynamics

, Volume 22, Issue 3, pp 459–464 | Cite as

Investigation of the hypersonic viscous shock layer around blunt bodies in a nonuniform flow

  • I. G. Eremeitsev
  • N. N. Pilyugin
  • S. A. Yunitskii
Article
Received:
  • 42 Downloads

Abstract

Unseparated viscous gas flow past a body is numerically investigated within the framework of the theory of a thin viscous shock layer [13–15]. The equations of the hypersonic viscous shock layer with generalized Rankine-Hugoniot conditions at the shock wave are solved by a finite-difference method [16] over a broad interval of Reynolds numbers and values of the temperature factor and nonuniformity parameters. Calculation results characterizing the effect of free-stream nonuniformity on the velocity and temperature profiles across the shock layer, the friction and heat transfer coefficients and the shock wave standoff distance are presented. The unseparated flow conditions are investigated and the critical values of the nonuniformity parameter ak [10] at which reverse-circulatory zones develop on the front of the body are obtained as a function of the Reynolds number. The calculations are compared with the asymptotic solutions [10, 12].

Keywords

Shock Wave Reynolds Number Heat Transfer Coefficient Standoff Distance Shock Layer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    V. V. Lunev and N. E. Khramov, “Flow in the neighborhood of the stagnation point on a blunt body in a divergent hypersonic stream,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 102 (1970).Google Scholar
  2. 2.
    I. G. Eremeitsev and N. N. Pilyugin, “Convective heating of a blunt body in a nonuniform hypersonic gas flow,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 127 (1981).Google Scholar
  3. 3.
    I. G. Eremeitsev and N. N. Pilyugin, “Friction and heat transfer in laminar and turbulent boundary layers on axisymmetric bodies in a nonuniform supersonic flow,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 65 (1984).Google Scholar
  4. 4.
    Yu. P. Golovachev and N. V. Leont'eva, “Viscous shock layer at the surface of a blunt body in a divergent supersonic flow,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 176 (1983).Google Scholar
  5. 5.
    Yu. P. Golovachov, “Similarity properties in the problem of flow from a supersonic source past a spherical bluntness,” Int. Heat Mass Transfer,28, 1165 (1985).Google Scholar
  6. 6.
    V. S. Khlebnikov, “Investigation of the flow ahead of a sphere in the wake of a body in a supersonic stream,” Uch. Zap. TsAGI,2, 42 (1971).Google Scholar
  7. 7.
    T. C. Lin, B. L. Reeves, and D. Siegelman, “Blunt-body problem in non-uniform flow fields,” AIAA J.,15, 1130 (1977).Google Scholar
  8. 8.
    Yu. P. Golovachev and N. V. Leont'eva, “Circulatory flow at the front of a sphere in a supersonic wake-type stream,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 143 (1985).Google Scholar
  9. 9.
    Yu. P. Golovachev, N. V. Leont'eva, and V. V. Tsymbalov, “Numerical modeling of certain separated flows on the basis of the Navier-Stokes and Euler equations,” Differents. Uravnenniya,21, 1267 (1985).Google Scholar
  10. 10.
    I. G. Eremeitsev and N. N. Pilyugin, “Heat transfer and drag of a body in a far supersonic wake,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 60 (1986).Google Scholar
  11. 11.
    V. S. Khlebnikov, “An engineering method of calculating the pressure and heat flux at the surface of a body in the wake of another body, when a flow pattern with a forward shock exists ahead of the second body,” Tr. TsAGI, No. 1763 (1975).Google Scholar
  12. 12.
    N. N. Pilyugin and R. F. Talipov, “Hypersonic nonuniform viscous gas flow past a blunt body,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 120 (1986).Google Scholar
  13. 13.
    H. K. Cheng, “The blunt-body problem in hypersonic flow at low Reynolds number,” Pap. Inst. Aerospace Sci., No. 92, 100 (1963).Google Scholar
  14. 14.
    G. A. Tirskii, “Theory of hypersonic, viscous, chemically reacting, multicomponent gas flow past plane and axisymmetric blunt bodies in the presence of injection,” Nauchn. Tr. Inst. Mekh. Mosk. Gos. Univ., No. 39, 5 (1975).Google Scholar
  15. 15.
    É. A. Gershbein and S. A. Yunitskii, “Investigation of the hypersonic three-dimensional viscous shock layer in the neighborhood of a stagnation point in the presence of injection or suction,” Prikl. Mat. Mekh.,43, 817 (1979).Google Scholar
  16. 16.
    I. V. Petukhov, “Numerical calculation of two-dimensional boundary layer flows,” in: Numerical Methods of Solving Differential and Integral Equations and Quadrature Formulas [in Russian], Nauka, Moscow (1964), p. 304.Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • I. G. Eremeitsev
    • 1
  • N. N. Pilyugin
    • 1
  • S. A. Yunitskii
    • 1
  1. 1.Moscow

Personalised recommendations