Abstract
This paper, based on a study of the existing theoretical solutions to the problem of crater-forming explosions and a comparison of the solutions with the experimental data, makes an attempt to establish the limits of applicability of impulsive hydrodynamic models and in general to indicate their role in the investigation of crater-forming explosions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
Technical Regulations for Carrying Out Explosive Work on the Surface of the Ground [in Russian], Nedra, Moscow (1972).
G. Broud, Computer Calculations of Explosions. Underground Explosions [Russian translation], Mir, Moscow (1975).
The Effect of Nuclear Explosions [Russian translation], Mir, Moscow (1971).
M. A. Lavrent'ev and B. V. Shabat, Problems in Hydrodynamics and their Mathematical Models [in Russian], Nauka, Moscow (1973).
O. E. Vlasov, Fundamentals of the Theory of Explosive Action [in Russian], VIA, Moscow (1957).
V. I. Lavrik and I. A. Luchko, “Hydrodynamic solution to the problem of the explosive action of a pair of buried charges,” in: Analytical Methods in the Theory of Filtration and Heat Conduction [in Russian], Inst. Matematiki AN USSR, Kiev (1973), pp. 45–53.
D. M. Kushnarev, Utilization of Explosive Energy in Construction [in Russian], Stroiizdat, Moscow (1973).
V. M. Kuznetzov, Mathematical Models of the Explosive Process [in Russian], Nauka, Novosibirsk (1977).
N. B. Il'inskii and A. B. Potashev, “Mathematical simulation of the energy characteristics of the charge in impulsive hydrodynamic models of crater-forming explosions,” Fiz.-Tekh. Probl. Razrabotki Polezn. Iskopaemykh, No. 1, 41 (1982).
B. N. Kutuzov, V. K. Rubtsov, Yu. K. Balukhin, and R. Ya. Strausman, Planning of Explosions [in Russian], Moskovsk. Gornyi Inst., Moscow (1973).
A. E. Azarkovich, V. N. Yanovskii, R. A. Krivoruchko, and M. L. Glushkov, “Experimental investigation of the action of crater-forming linear charges,” Corn. Zh., No. 11, 31 (1976).
V. M. Kuznetsov, “Hydrodynamic models of explosions in the earth,” in: Some Problems in Mathematics and Mechanics [in Russian], Nauka, Leningrad (1970), pp. 171–181.
V. M. Kuznetsov and É. B. Polyak, “Impulsive hydrodynamic models for calculating crater-forming explosions using linear charges,” Fiz.-Tekh. Probl. Razrabotki Polezn. Iskopaemykh., No. 4, 32 (1973).
M. F. Drukovanyi, V. M. Komir, and V. M. Kuznetsov, The Effect of Explosions on Rocks [in Russian], Naukova Dumka, Kiev (1973).
F. A. Baum, L. P. Orlenko, K. P. Stanyukovich, V. P. Chelyshev, and B. I. Shekhter, The Physics of Explosions [in Russian], Nauka, Moscow (1975).
V. K. Krasnov and A. V. Potashev, “Simulation of a spherical charge by a hydrodynamic source or dipole for calculating crater-forming explosions,” Fiz.-Tekh. Probl. Razrabotki Polezn. Iskopaemykh., No. 1, 20 (1984).
V. R. Oberbek, “Laboratory simulation of shock formation of craters with the help of explosives,” in: Mechanics of Crater Formation During Shocks and Explosions [in Russian], Mir, Moscow (1977), pp. 33–61.
N. B. Il'inskii, A. V. Potashev, A. V. Rubinovskii, and P. A. Fishchenko, “Solution to some problems in the theory of explosions in the impulsive hydrodynamic formulation,” in: Proc. Seminar on Boundary-Value Problems, No. 14, Kazansk. Un., Kazan (1977), pp. 98–109.
B. A. Ivanov and P. A. Fishchenko, “The effect of a solid base on the crater hollow in the explosion of a concentrated surface charge,” NII Mat. Mekh. Un., Kazan (1982); Rukopis' Dep. v VINITI 4.04.83, No. 1154-83 Dep.
V. M. Kuznetsov, “Explosions on the surface of a plate,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3, 40 (1962).
A. V. Rubinovskii, “Interaction of charges on the surface of a barrier in the jet hydrodynamic model,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 160 (1980).
É. B. Polyak and E. N. Sher, “The shape of the crater for the explosion of a linear charge in a bilayer medium,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2, 143 (1973).
N. B. Il'inskii and A. B. Potashev, “Impulsive hydrodynamic models of crater-forming explosions in stratified media,” in: Proc. Seminar on Boundary-Value Problems, No. 16, Kazansk. Un., Kazan (1979), pp. 81–88.
V. M. Kuznetsov, É. B. Polyak, and E. N. Sher, “Hydrodynamic interaction of linear charges,” Zh. Prikl. Tekh. Mekh. Fiz., No. 5, 93 (1975).
N. B. Il'inskii and N. D. Yakimov, “The interaction of two planar charges for explosions on the surface of the ground,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1, 147 (1977).
N. B. Il'inskii and R. B. Salimov, “The problem of explosion of a surface charge with variable thickness,” in: Proc. Seminar on Boundary-Value Problems, No. 12, Kazansk. Un., Kazan (1975), pp. 76–83.
N. B. Il'inskii and A. V. Potashev, “Calculation of crater hollows formed by explosion in an anisotropic medium,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 3 (1983).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 3–9, September–October, 1984.
Rights and permissions
About this article
Cite this article
Il'inskii, N.B., Potashev, A.V. Impulsive hydrodynamic models and their role in the investigation of crater-forming explosions. Fluid Dyn 19, 673–679 (1984). https://doi.org/10.1007/BF01093530
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01093530