Mathematical model of the temporary pulsating gunshot cavity

• Autorzy: Włodarczyk, E. , Maruszyński, M.
• Języki publikacji: EN

Abstrakty

EN

The analytical method, describing the temporary pulsating gunshot cavity, has been presented in this paper. This cavity is simulated with the aid of a pulsating spherical gas bubble in non-viscous, incompressible liquid. The simple algebraic formulae, determining the maximal radius and minimal one of the temporary gunshot cavity, have been derived. It seems that the maximal radius, R1, is an explicit function of the impact velocity of a bullet in the ideal liquid, and of the bullet calibre, as well as of the liquid density. The minimal radius, R2, of the temporary cavity additionally depends on the initial gas pressure within the bubble. Note that the radii R1 and R2 do not depend on the bullet mass. The closed algebraic formulae, which determine the velocity, acceleration and pressure fields in the ideal liquid surrounding the temporary cavity, have been obtained, too. The results of the theoretical analysis, presented in this paper, are compatible with the experimental data [1-6, 10, 11, 14).

Słowa kluczowe

PL

ośrodek niesprężysty; problemy dynamiczne ośrodków niesprężystych; pola prędkości przyspieszeń i ciśnień; model matematyczny

• Czasopismo: Journal of Technical Physics
• Rocznik: 2004
• Tom: Vol. 45, no 4
• Strony: 275-288
• Opis fizyczny: Bibliogr. 30 poz., rys., wykr.

Twórcy

autor

Włodarczyk, E.

• Military University of Technology, Faculty of Armament and Aviation Technology, Kaliskiego 2, 00-908 Warszawa, Poland

autor

Maruszyński, M.

• Central Clinical Hospital of Military Medical Academy. ul. Szaserów 128, 00-909 Warszawa, Poland

Bibliografia

• 1. V.J.M. Di MAIO, Gunshot wounds, Elsevier, New York 1985.
• 2. K. SELLIER, B.P. KNEUBUEHL, Wound ballistics and its scientific background, Elsevier, Amsterdam 1994.
• 3. P.J.T. KNUDSEN, Wound ballistics: Forensic and experimental aspects (non-published paper).
• 4. M.L. FACKLER, Gunshot wound review. An Emerg. Med., 28 194-203, 1996.
• 5. R. DANCEWICZ, Disturbances of hemodynamics in an experimental gunshot injuries by the meanand high-velocity missiles [in Polish], Doctor's Thesis, WAM, L6dz 1974.
• 6. A.W. NOWETA, Studies of the influence of some parameters of a bullet on the size and form of the gunshot cavity in the model-material [in Polish], Doctor's Thesis, WAM, Lodz 1977-
• 7. R. DANCEWICZ, S. BARCIKOWSKI, M. GALIKOWSKI, T. PRZYSTARZ, Historical survey of the studies on the pathomechanics, the pathomorphology and clinic of the gunshot injuries [in Polish], Biul. WAM, XVIII, 4, 1975.
• 8. E.A. DYSKIN, Modern opinions on the mechanism of the firearm injuries [in Russian], Von. Med. Zhurn. 11, 1, 1972.
• 9. S.S. GIRGOLOV, Gunshot wound [in Russian], Ed. Voii. Med. Akad., Leningrad 1956.
• 10. A.A. VISHNIEWSKII, M.J. SHRAIIBER, War-firing ground surgery [in Russian], Medicina, Moskva 1975.
• 11. A.N. BLACK, B.D. BURNS, S. ZUCKERMAN, An experimental study of the wounding mechanism of high-velocity missiles, Brit. Med. J., 2, 1941.
• 12. G.R. CALLENDER, Wound ballistics, War Med.,3, 4, 1943.
• 13. D.A. HOPKiNSON, T.K. MARSCHALL, Firearm injuries, Brit. J. Surg., 54, 5, 1967.
• 14. M. KRAUS, Studies in wound ballistics: temporary cavity effects in soft tissues, Mil. Med., 121, 4, 1957.
• 15. N.M. RICH, Vascular traumas in Vietnam, J. Cardiovasc. Surg., 11, 3, 1970.
• 16. J.G. SHAPOSHNIKOV, E.A. RESHETNIKOV, Prophylaxis and therapy of the gunshot wounds during the medical evacuation {in Russian), Voii. Med. Zhurn., 10, 1976.
• 17. S. KOCHAŃSKI, Antiterrorist brigades. Operations • Armament [in Polish], SIGMA NOT,Warszawa 1992.
• 18. J.J. AMATO, N.M. RICH, Temporary cavity effects in blood vessel injury by high velocity missiles, J- Cardiovasc. Surg., 13, 2, 1972.
• 19. A.W. NOWETA, H. NOWAK, J. SZUBERT, A. JAROSZEK, Study of the dynamic pressure distribution in the neighbourhood of the shot channel [in Polish], Biul. WAM, XX, 1, 1977.
• 20. T. PIECUCH, Pathomechanism of the gunshot injuries on the example of the own experimental studies [in Polishj, Lek. Wojsk., 3, 1976.
• 21. M.J. LITKIN, E.A. DYSKIN, J.G. PEREGUDOV, L.B. OZERECKOWSKIJ, L.P.TICHONOWA, On the mechanism of the firearm injuries of the blood vessels and their therapy during of the medical evacuation [in Russian], Voii. Med. Zhurn., 12, 1975.
• 22. M.S. OWEN-SMITH, J.M. MATHESON, Successful prophylaxis of gas gangrene of the high-velocity missile wound in sheep, Brit. J. Surg., 55, 1, 1968.
• 23. F.P. THORESBY, J.C. WATTES, Gas gangrene of the high-velocity missile wound, Brit. J. Surg., 54, 1, 1967.
• 24. J.L.M.J. VAN BREE, Behaviour of 5.56 mm projectiles in gelatine, Proceedings, vol. 2, 14-th International Symposium on Ballistics, Quebec City-Canada, 26-29 September, 1993.
• 25. J.H. CUADROS, Terminal ballistics of non-lethal projectiles, Proceedings, vol. 2, 14-th International Symposium on Ballistics, Quebec City-Canada, 26-29 September, 1993.
• 26. DR. WIBO J.B. CRUCQ, The WB2D and computer PHANTOM wound ballistics computer codes, Proceedings, vol. 2, 14-th International Symposium on Ballistics, Quebec City-Canada, 26-29 September, 1993.
• 27. E. WŁODARCZYK, W. TRZCIŃSKI, Compression of a spherical gas bubble in ideal liquid by the finite pressure-pulse, J.Tech. Phys., 22, 4, 1981.
• 28. E. WŁODARCZYK, Analysis of the efficiency of initiation of a detonation by "hot spots" generated by shock compression of gas bubbles included in the explosive. Part I. Analysis of the experimental data, J. Tech. Phys., 33, 1, 1992. Part II. Theoretical analysis, J. Tech. Phys., 33, 2, 1992.
• 29. E. WŁODARCZYK, Compresion of gas bubble with inertial coating, J. Tech. Phys., 44, 1, 2003.
• 30. R.H. COLE, Underwater explosions, Princeton University Press, Princeton « New Jersey 1948.