Skip to main content
Log in

Least-drag bodies moving in media subject to the locality hypothesis

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

A solution is constructed for the variational problem of a body of minimum drag moving at constant velocity in media in which under certain assumptions the force exerted by the medium on an area element of the body surface depends only on its orientation relative to the direction of motion (locality hypothesis). The representations of the normal (pressure) and tangential (friction) components of the force embrace a broad range of the conditions realized in the motion of a body through gases and dense media.

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. A. Miele (ed.),Theory of Optimum Aerodynamic Shapes, Academic Press (1968).

  2. A. I. Bunimovich, “Relations between the forces acting on bodies moving in a rarefied gas, in a luminous flux and in a hypersonic Newtonian flow,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 89 (1973).

    Google Scholar 

  3. A. I. Bunimovich and G. E. Yakunina, “Shape of three-dimensional bodies of minimum drag moving in plastically compressible and elastoplastic media,”Vestn. Mosk. Univ., Ser. 1, Mat. Mekh., No. 3, 105 (1987).

    Google Scholar 

  4. Kh. A. Rakhmatulin, A. Ya. Sagomonyan, and N. A. Alekseev,Problems of Soil Dynamics [in Russian], published by Moscow State University, Moscow (1964).

    Google Scholar 

  5. A. Ya. Sagomonyan, “Penetration of a plate by a slender solid projectile,”Vestn. Mask. Univ., Ser. 1, Mat. Mekh., No. 5, 104 (1975).

    Google Scholar 

  6. F. F. Vitman and V. A. Stepanov, “Effect of the strain rate on the resistance of metals to deformation at impact velocities of 102–103 m/sec,” in:Some Problems of the Strength of Solids [in Russian], published by the USSR Academy of Sciences, Moscow (1959), p. 207.

    Google Scholar 

  7. N. A. Ostapenko, “Bodies with minimum wave drag in a swirled hypersonic flow,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 107 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 95–106, January–February, 1992.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ostapenko, N.A., Yakunina, G.E. Least-drag bodies moving in media subject to the locality hypothesis. Fluid Dyn 27, 71–80 (1992). https://doi.org/10.1007/BF01054176

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01054176

Keywords

Navigation