Skip to main content
Log in

Supersonic flows with small perturbations in the presence of external effects in the flow. Part 1: “Thin body of revolution”

  • Gases and Liquids
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

Axisymmetric supersonic flow about a thin body of revolution with an external energy supply and an external force localized near the body surface is considered in the linear approximation. An analytic theory is constructed for calculating spatial fields of flow parameters in this case for an arbitrary dependence of external effects on the longitudinal coordinate. Formulas are derived for the pressure ratio on the surface of the thin body of revolution. The results of calculations based on the analytic theory are in good agreement with numerical data obtained from the solution of hydrodynamic equations in the Euler approximation.

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

References

  1. Von Karman and N. B. Moore, Trans. Am. Soc. Mech. Eng. 54, 303 (1932).

    Google Scholar 

  2. G. I. Taylor and J. W. Maccol, Proc. R. Soc. London, Ser. A 139, 278 (1933).

    Article  ADS  Google Scholar 

  3. M. J. Lighthill, Q. J. Mech. Appl. Math. 1, 309 (1948).

    Article  MATH  MathSciNet  Google Scholar 

  4. G. B. Witham, Commun. Pure Appl. Math. 5, 301 (1952).

    Article  Google Scholar 

  5. I. Adamovich, V. V. Subramaniam, W. R. Lempert, and J. W. Rich, in Proceedings of the 2nd Weakly Ionized Gases Workshop, Norfolk, 1998, pp. 1–24.

  6. B. N. Ganguly, P. Bletzinger, and A. Garssaden, Phys. Lett. A 230, 218 (1997).

    Article  ADS  Google Scholar 

  7. V. V. Kuchinsky, V. S. Sukhomlinov, V. A. Sheverev, and M. V. Otugenm in Proceedings of the 2nd Workshop on Magnetoplasma Aerodynamics in Aerospace Applications, Moscow, 2000, pp. 307–312.

  8. D. I. Brichkin, A. L. Kuranov, and E. G. Sheikin, AIAA Pap., No. 98-1642 (1998).

  9. D. I. Brichkin, A. L. Kuranov, and E. G. Sheikin, AIAA Pap., No. 2001-0381 (2001).

  10. S. O. Macheret, M. N. Shneider, and R. B. Miles, AIAA Pap., No. 2002-2251 (2002).

  11. L. V. Terent’eva, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 179 (1992).

  12. V. V. Vlasov, V. G. Grudnitskii, and V. N. Rygalin, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 142 (1995).

  13. V. A. Levin and L. V. Terent’eva, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 110 (1993).

  14. P. Yu. Georgievskii and V. A. Levin, Tr. Mat. Inst. Akad. Nauk SSSR 186, 197 (1989).

    Google Scholar 

  15. G. B. Witham, Linear and Nonlinear Waves (Willey, New York, 1974).

    Google Scholar 

  16. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Fluid Mechanics (Nauka, Moscow, 1988; Pergamon, New York, 1987).

    Google Scholar 

  17. G. G. Chernyi, Gas Dynamics (Nauka, Moscow, 1988; CRC, Boca Raton, 1994).

    Google Scholar 

  18. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics (GITTL, Moscow, 1951; Pergamon, Oxford, 1964).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. S. Sukhomlinov.

Additional information

Original Russian Text © N.A. Gerasimov, V.S. Sukhomlinov, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 1, pp. 34–40.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gerasimov, N.A., Sukhomlinov, V.S. Supersonic flows with small perturbations in the presence of external effects in the flow. Part 1: “Thin body of revolution”. Tech. Phys. 55, 33–39 (2010). https://doi.org/10.1134/S1063784210010068

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784210010068

Keywords

Navigation