 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
|
| << Previous article | Volume 36, Issue 2 / 2001 | Next article >> |
| K. Yu. Osipenko and I. V. Simonov, "Supersonic flow of a porous medium past a cone," Mech. Solids. 36 (2), 77-84 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
2 |
Pages |
77-84 |
| Title |
Supersonic flow of a porous medium past a cone |
| Author(s) |
K. Yu. Osipenko (Moscow)
I. V. Simonov (Moscow) |
| Abstract |
The problem of a symmetric flow past a cone is considered
for a dense medium with an attached shock wave. The medium is
described by the state equation for a fluid with a nonlinear
compressibility diagram reflecting the actual behavior of soft soil
subjected to intensive loads. Plastic resistance to shear deformation
is taken into account only on the surface of the cone in
order to calculate the correction to the resistance. We examine critical
values of the Mach number and those of the shock wave angle corresponding
to the shock wave separation regime and we describe the resistance
coefficient and the nondimensional pressure as functions of the cone
angle and the Mach number. The results are compared with the solutions
obtained under the assumption that the medium beyond the shock wave front
is incompressible, the cone is thin, and the Mach number is
very large. An estimate is obtained for the penetration depth of a
cone of finite length in the regime under consideration. |
| References |
| 1. | E. I. Grigolyuk and A. G. Gorshkov, Interaction of Elastic
Structures With Fluids [in Russian], Sudostroenie, Leningrad, 1976. |
| 2. | V. B. Poruchikov, "Penetration of the acoustic half-space by a thin
axially symmetric body: solution of the problem taking into account
nonlinear effects," Vestnik MGU [Bulletin of Moscow State
University], Ser. 1, Mat., Mekh., No. 3, pp. 54-57, 1998. |
| 3. | G. A. Al'ev, "Transonic water flow about a circular cone with
separation," Izv. AN SSSR. MZhG [Fluid Dynamics], No. 2, pp. 152-154,
1983. |
| 4. | A. Ya. Sagomonyan, Penetration [in Russian], Izd-vo MGU, Moscow, 1974. |
| 5. | A. G. Bagdoev, Spatial Nonstationary Motion of Continuous Media
with Shock Waves [in Russian], Izd-vo AN ArmSSR, Erevan, 1961. |
| 6. | L. D. Landau and E. M. Lifshitz, Theoretical Physics. Volume 6.
Hydrodynamics [in Russian], Nauka, Moscow, 1986. |
| 7. | L. G. Loitsyanskii, Mechanics of Liquid and Gas [in Russian], Nauka, Moscow,
1970. |
| 8. | L. M. Flitman, "On the boundary layer and some dynamical problems
for plastic media," Izv. AN SSSR. MTT [Mechanics of Solids], No. 1,
pp. 131-137, 1982. |
| 9. | R. K. Byers, P. Yarrington, and A. J. Chabai, "Dynamic penetration
of soil media by slender projectiles," Intern. J. Engng. Sci., Vol. 16,
No. 11, pp. 835-844, 1978. |
| 10. | Yu. K. Bivin, I. V. Simonov, S. A. Fedotov, and O. B. Khavroshkin,
"A method of mechanical stress relaxation in geological media," Patent
No. 5056066/25 of 23 July 1992, Byull. Izobr., No. 34, 1995. |
| 11. | I. V. Simonov, S. A. Fedotov, and O. B. Khavroshkin,
"Precatastrophic state of geophysical objects, trigger action, and
penetration," Doklady AN, Vol. 347, No. 6, pp. 811-813, 1996. |
| 12. | I. V. Simonov and O. B. Khavroshkin, "A method of penetration of
a geological medium," Patent No. 93-002688/03/002364 of
14 January 1993. |
| 13. | A. V. Zaitsev, A. V. Dobrov, V. A. Kotin, and I. V. Simonov,
"Possibilities for hypervelocity impact experiments in frames of
demonstration project `Space Patrol'," Intern. J. Impact Engng., Vol. 20,
No. 6/10, pp. 839-847, 1997. |
| 14. | A. V. Dobrov, A. V. Zaitsev, G. N. Rogovskii, and I. V. Simonov,
"Possibilities of testing kinetic methods of action on small celestial
bodies," in G. P. Vyatkin (Editor), Proceedings of Chelyabinsk Center of
Science. Special Issue. Space Protection of Earth, 1996 [in Russian], Part 1,
pp. 120-126, Izd-vo VNIITF, Snezhinsk, 1997. |
| 15. | N. F. Krasnov, Aerodynamics of Bodies of Revolution [in Russian],
Oborongiz, Moscow, 1958. |
| 16. | V. N. Nikolaevskii, Mechanics of Media with Pores and Cracks
[in Russian], Nedra, Moscow, 1984. |
| 17. | I. M. Dubrovskii, B. V. Egorov, and K. P. Ryaboshapka, Handbook on
Physics [in Russian], Naukova Dumka, Kiev, 1986. |
| 18. | V. A. Lagunov and V. A. Stepanov, "Measurements of the dynamical
compressibility of sand subjected to high pressure," Zh. Prikl. Mekh. i
Tekhn. Fiziki, No. 1, pp. 88-96, 1963. |
| 19. | I. V. Simonov, "Maximum pressure, temperature and resistance at
supersonic flow of a body by condensed medium," Intern J. Impact Engng.,
Vol. 20, No. 6/10, pp. 743-752, 1997. |
| 20. | A. Cable, N. Hickerson, and J. Deans, High-Speed Shock
Phenomena [Russian translation], Mir, Moscow, 1973. |
|
| Received |
27 November 1998 |
| << Previous article | Volume 36, Issue 2 / 2001 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English