Mathematical model of the temporary pulsating gunshot cavity

• Autorzy: Włodarczyk E. , Maruszyński M.
• Konferencja: Problemy rozwoju, produkcji i eksploatacji techniki uzbrojenia / XI Konferencja Naukowo-Techniczna (XI ; maj 2002 ; Rynia, Polska)
• 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

EN

terminal ballistics; gunshot cavity in living organism; mathematical analysis; shot

PL

balistyka końcowa; jama postrzałowa w żywym organizmie; postrzał; analiza matematyczna

• Wydawca: Wojskowy Instytut Techniczny Uzbrojenia
• Czasopismo: Problemy Techniki Uzbrojenia
• Rocznik: 2002
• Tom: R. 31, z. 83
• Strony: 35--50
• Opis fizyczny: Bibliogr. 30 poz., rys., wykr.

Twórcy

autor

Włodarczyk E.

• Military Institute of Armament Technology

autor

Maruszyński M.

• Central Clinical Hospital of Military Medical Academy

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 a hemodynamics in an experimental gunshot injuries by the mean and high-velocity missiles [in Polish], Doctor's Thesis, WAM, Łódź, 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, Łódź, 1977.
• [7] R. DANCEWICZ, S. BARCIKOWSKI, M. GALIKOWSKI, T. PRZYSTARZ, Historic 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], Voii. Med. Zhurn. 11, 1(1972).
• [9] S.S. GIRGOŁOV, 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 of 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 PolishJ, Biul. WAM, XX, 1(1977).
• [20] T. PIECUCH, Pathomechanism of the gunshot injuries on the example of the own experimental studies [in Polish], 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. MATHES0N, Successful prophylaxis of gas gangren f th 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 5.56mm projectiles in gelatine, Proceeding, vol. 2, 14th International Symposium on Ballistics, Quebec City-Canada, 26-29 September, 1993.
• [25] J.H. CUADROS, Terminal Ballistics of non-lethal projectiles, Proceedings, vol.2 14th International Symposium on Ballistics, Quebec City-Canada, 26-29 September, 1993.
• [26] D.R. WIBO J.B. CRUCQ, The WB2D and computer PHANTOM wound ballistics computer codes, Proceedings, vol.2, 14th 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. (in the press).
• [30] R.H. COLE, Underwater explosions, Princeton University Press, Princeton New Jersey 1948.