On the crater of an ejection formed by an explosion of two flat surface cord charges

S. L. Tolokonnikov ; V. A. Maksimenko

Čebyševskij sbornik, Tome 22 (2021) no. 2, pp. 472-483.

Résumé

In article the problem of the interaction of two flat cord charges at explosion on the ground surface is considered. The impulse-hydrodynamic solid-liquid model is used. The action of charges on the medium by the pressure pulse is determined. The boundary of the ejection crater is a surface with some constant speed module value. It is believed that in general the charges have different widths and pressure pulses characterizing the effect of charges on the medium may be different. The exact solution to the problem is built by displaying the areas of change complex potential and complex speed per area of change auxiliary parametric variable. Detailed parametric analysis done for the case of equal charges. The behavior of the solution when changing the main dimensionless parameters is learned. Limitations on values of determining parameters are specified. Limiting cases is investigated. The results of calculations of the shape of the ejection crater for various sets of values of defining parameters are given.

Détail

Keywords: explosion, crater of an ejection, flat surface cord charges, inviscid incompressible fluid, pulse-hydrodynamic model.

Bibliographie

[1] Lavrentev M. A., Variatsionnyi metod v kraevykh zadachakh dlya sistem uravnenii ellipticheskogo tipa, Izd-vo AN SSSR, M., 1962, 136 pp. | MR

[2] Lavrentev M. A., Shabat B. V., Problemy gidrodinamiki i ikh matematicheskie modeli, Nauka, M., 1973, 416 pp. | MR

[3] Kuznetsov V. M., “O forme voronki vybrosa pri vzryve na poverkhnosti grunta”, Prikl. mekhanika i tekhn. fiz., 1960, no. 3, 152–156

[4] Tolokonnikov S. L., “O forme voronki vybrosa pri vzryve na poverkhnosti grunta shnurovogo zaryada klinovidnoi formy”, Vestn. Mosk. un-ta. Matem. Mekhan., 2018, no. 6, 82–85 | Zbl

[5] Tolokonnikov S. L., “K zadache o vzryve poverkhnostnogo shnurovogo zaryada”, Vestn. Mosk. un-ta. Matem. Mekhan., 2020, no. 1, 75–79 | Zbl

[6] Ilinskii N. B., Potashev A. V., Rubinovskii A. V., Fischenko P. A., “Reshenie nekotorykh zadach teorii vzryva v impulsno-gidrodinamicheskoi postanovke”, Tr. seminara po kraevym zadacham, 14, Izd-vo Kazan. un-ta, Kazan, 1977, 98–109

[7] Ilinskii N. B., Fischenko P. A., “Issledovanie vliyaniya naklonnogo tverdogo dna na vyemku vybrosa pri vzryve poverkhnostnogo shnurovogo zaryada”, Tr. seminara po kraevym zadacham, 20, Izd-vo Kazan. un-ta, Kazan, 1983, 116–128

[8] Rubinovskii A. V., “O probivanii pregrady vzryvom v impulsno-gidrodinamicheskoi postanovke”, Prikl. mekhanika. i tekhn. fiz., 1986, no. 2, 143–146

[9] Polyak E. B., Sher E. N., “O forme voronki vybrosa pri vzryve shnurovogo zaryada v dvukhsloinoi srede”, Prikl. mekhanika. i tekhn. fiz., 1973, no. 2, 143–146

[10] Kuznetsov V. M., Polyak E. B., Sher E. N., “O gidrodinamicheskom vzaimodeistvii shnurovykh zaryadov VV”, Prikl. mekhanika i tekhn. fiz., 1975, no. 5, 93–101

[11] Ilinskii N. B., Yakimov N. D., “O vzaimodeistvii dvukh ploskikh shnurovykh zaryadov pri vzryve na poverkhnosti grunta”, Prikl. mekhanika i tekhn. fiz., 1977, no. 1, 147–151

[12] Kuznetsov V. M., Matematicheskie modeli vzryvnogo dela, Nauka, Novosibirsk, 1977, 259 pp.

[13] Ilinskii N. B., Potashev A. V., Kraevye zadachi teorii vzryva, Izd-vo Kazan. un-ta, Kazan, 1986, 183 pp.

[14] Gurevich M. I., Teoriya strui idealnoi zhidkosti, Nauka, M., 1979, 536 pp.

[15] Lavrentev M.A., Shabat B.V., Metody teorii funktsii kompleksnogo peremennogo, Nauka, M., 1973, 736 pp. | MR