Fluid Dynamics

, Volume 10, Issue 5, pp 860–862 | Cite as

Analysis of the axial focusing of perturbations in hypersonic tubes

  • É. G. Shifrin
  • G. V. Shubnikov


The concentration of steady-state perturbations of the flux field on the symmetry axis in axisymmetrical hypersonic aerodynamic tubes [1] is analyzed. A description of the increment in the amplitude of the perturbations is presented on the basis of the linear theory. The “critical∝ frequency bounding the frequency spectrum of the focused perturbations is estimated.


Symmetry Axis Frequency Spectrum Linear Theory Flux Field Aerodynamic Tube 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    A. Pope and K. L. Goin, High-Speed Wind Tunnel Testing, Wiley (1965).Google Scholar
  2. 2.
    I. S. Zhiguleva and U. G. Pirumov, Propagation of Small Perturbations in Supersonic Conical Nozzles [in Russian], Oborongiz, Moscow (1959).Google Scholar
  3. 3.
    A. N. Kraiko, “Slightly perturbed supersonic flows for an arbitrary number of nonequilibrium processes,∝ Prikl. Mat. Mekh.,30, No. 4 (1966).Google Scholar
  4. 4.
    Yu. D. Shmyglevskii, “Certain properties of axisymmetric supersonic gas flows,∝ Dokl. Akad. Nauk SSSR,122, No. 5 (1958).Google Scholar
  5. 5.
    M. P. Ryabokon', “Linearized supersonic flows in Laval nozzles,∝ Prikl. Mat. Mekh.,27, No. 4 (1963).Google Scholar
  6. 6.
    Yu.-V. Chen, “Flow in nozzles and associated problems of cylindrical and spherical waves,∝ in: Mechanics [Periodic collection of translations of foreign articles], No. 4 (1954), p. 5.Google Scholar
  7. 7.
    N. S. Koshlyakov, E. B. Gliner, and M. M. Smirnov, Differential Equations of Mathematical Physics [in Russian], Fizmatgiz, Moscow (1962).Google Scholar
  8. 8.
    General Theory of High-Velocity Aerodynamics [in Russian], Voenizdat, Moscow (1962).Google Scholar
  9. 8.
    F. G. Tricomi, Integral Equations, Wiley (1957).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • É. G. Shifrin
    • 1
  • G. V. Shubnikov
    • 1
  1. 1.Moscow

Personalised recommendations