Abstract
In the point explosion problem it is assumed that an instantaneous release of finite energy causing shock wave propagation in the ambient gas occurs at a space point. The results of the solution of the problem of such blasts are contained in [1–4]. This point model is applied for the determination of shock wave parameters when the initial pressure in a sphere of finite radius exceeds the ambient air pressure by 2–3 orders of magnitude. The possibility of such a flow simulation at a certain distance from the charge is shown in papers [4, 5] as applied to the blast of a charge of condensed explosive and in [6, 8] as applied to the expansion of a finite volume of strongly compressed hot gas. In certain practical problems the initial pressure in a volume of finite dimensions exceeds atmospheric pressure by a factor 10–15 only. Such cases arise, for example, in the detonation of gaseous fuel-air mixtures. The present paper considers the problem of shock wave propagation in air, caused by explosion of gaseous charge of spherical or cylindrical shape. A numerical solution is obtained in a range of values of the specific energy of the charge characteristic for fuel-air detonation mixtures by means of the method of characteristics without secondary shock wave separation. The influence of the initial conditions of the gas charge explosion (specific energy, nature of initiation, and others) is investigated and compared with the point case with respect to the pressure difference across the shock wave and the positive overpressure pulse.
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Literature cited
V. P. Korobeinikov, N. S. Mel'nikova, and E. V. Ryazanov, Theory of Point Explosions [in Russian], Fizmatgiz, Moscow (1961).
V. P. Korobeinikov and P. I. Chushkin, “Plane, cylindrical, and spherical blasts in gas with counterpressure,” in: Unsteady Motions of Compressible Media with Blast Waves [in Russian], Nauka, Moscow (1966), pp. 4–34.
Kh. S. Kestenboim, G. S. Roslyakov, and L. A. Chudov, Point Explosions. Methods of Calculation. Tables [in Russian], Nauka, Moscow (1974).
H. L. Brode, “Blast wave from a spherical charge,” Phys. Fluids,2, 217 (1959).
A. S. Fonarev and S. Yu. Chernyavskii, “Calculation of shock waves in a blast of spherical explosive charges in air,” Izv. Akad. Nauk SSSR, Mekh. Shidk. Gaza, No. 5, 169 (1968).
H. L. Brode, “Numerical solutions of spherical blast waves,” J. Appl. Phys.,26, 766 (1955).
M. Lutzky and D. L. Lehto, “Scaling of spherical blasts,” J. Appl. Phys.,41, 844 (1970).
L. V. Shurshalov, “Transition of multidimensional to one-dimensional blast flows,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 93 (1983).
N. E. Haskin, “Method of characteristics for solution of equations of one-dimensional unsteady flow,” in: Numerical Methods in Hydrodynamics [Russian translation], Mir, pscpw (1967), pp. 264–291.
K. P. Stanyukovich, Unsteady Motions of a Continuous Medium [in Russian], Nauka, Moscow (1971).
É. A. Ashratov, T. G. Volkonskaya, G. S. Roslyakov, and V. I. Uskov, “Investigation of supersonic gas flows in jets,” in: Some Applications of the Grid Method in Gas Dynamics, No. 6 [in Russian], Izd. MGU, Moscow (1974), pp. 241–407.
S. K. Aslanov, O. S. Golinskii, and S. A. Ivliev, “Theory of expansion of a gaseous sphere,” in: Shock Physics and Wave Dynamics in Space and on Earth [in Russian], Nauka, Moscow (1983), pp. 102–113.
B. D. Fishburn, “Some aspects of blast fron fuel-air explosives,” Acta Astronaut.,3, 1049 (1976).
S. A. Zhdan, “Calculation of blast of a gaseous spherical charge in air,” Zh. Prikl. Mekh. Tekh. Fiz., No. 6, 69 (1975).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 110–118, May–June, 1986.
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Ashratov, É.A., Pirumov, U.G. & Surkov, V.V. Blast wave propagation in air from a gaseous charge. Fluid Dyn 21, 431–437 (1986). https://doi.org/10.1007/BF01409730
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DOI: https://doi.org/10.1007/BF01409730