Abstract
A new model of explosion products expansion in rarified gas is obtained. This model is based on an approach taking into account the energy dissipation in the “snowplow” model, thus making it possible to obtain an exact analytical solution and results which are in good agreement with experimental data. A comparison of the new model with the currently existing models (Simple Snowplow Model, Stuart’s model and Holway’s model) is indicative of the fact that the latter can be described in the framework of the new model. Alongside with that, the new model is able to take into account yet more processes not considered in the existing models. A comparison with the Spolokh-1 experiment demonstrates good agreement with data obtained in this experiment.
Similar content being viewed by others
References
Bienkowski, G., Collisionless Expansion of Gas Cloud in the Presence of an Ambient Gas, Phys. Fluids, 1964, vol. 7, no. 3, pp. 382–390.
Brode, H.L., Blast Wave a Spherical Charge, Phys. Fluids, 1959, vol. 2, no. 2, pp. 217–229.
Brode, H.L. and Enstrom, T.E., Analysis of Gas Expansion in a Rarefied Atmosphere, Phys. Fluids, 1972, vol. 15, pp. 1913–1917.
Cieslak, S., Khelil, B.S., Choquet, I., and Merlen, A., Cut Cell Strategy for 3-D Blast Waves Numerical Simulations, Shock Waves, 2001, vol. 10, no. 6, pp. 241–249.
Groves, G.V., Initial Expansion to Ambient Pressure of Chemical Explosive Releases in the Upper Atmosphere, J. Geophys. Res., 1963, vol. 68, no. 10, pp. 3033–3047.
Holway, L.H., Similarity Model of an Explosion in a Rarefied Atmosphere, Phys. Fluids, 1969, vol. 12, pp. 2506–2510.
Kato, K., Aoki T., Kubota S. and Yoshida M. A Numerical Scheme for Strong Blast Wave Driven by Explosion, Int. J. Numer. Methods Fluids, 2006, vol. 51, no. 12, pp. 1335–1353.
Klein, M.M., Similarity Solution for Cylindrical Gas Cloud in Rarefied Atmosphere, Phys. Fluids, 1968, vol. 11, pp. 964–965.
Liang, S.M., Wang, J.S., and Chen, H., Numerical Study of Spherical Blast-Wave Propagation and Refection, Shock Waves, 2002, vol. 12, no. 1, pp. 59–68.
Metelkin, E.V. and Sorokin, V.M., Perturbations in the Electric and Magnetic Fields by Blast Waves in the Middle Ionosphere, Kosm. Issl., 1996, vol. 34, no. 3, pp. 264–270.
Ofengeim, D.Kh. and Drikakis, D., Simulation of Blast Wave Propagation Over a Cylinder, Shock Waves, 1997, vol. 7, no. 5, pp. 305–317.
Ruzhin, Yu.Ya. and Skomarovskii, V.S., Initial Stage of Barium Jet Motion in the Spolokh-1 Experiment, in Fizika ionosfery i magnitosfery (Physics of the Ionosphere and Magnetosphere), Moscow: 1978, pp. 107–115.
Ruzhin, Yu.Ya., Plasma Perturbations during the Injection of Energetic Particles into the Ionosphere, in Doctoral (Phys.-Math.) Dissertation, Moscow: IZMIRAN, 1992.
Sergeev, I.Yu., Sorokin, V.M., and Yashchenko, A.K., Low-Frequency Radiation of an Axisymmetric Current in the Ionospheric Plasma, Izv. Vyssh. Uchebn. Zaved., Ser. Radiofiz., 2000, vol. 43, no. 8, pp. 688–695.
Sergeev, I.Yu., Sorokin, V.M., and Yashchenko, A.K., Electromagnetic Field of a Spherically Symmetrical Explosion Blast in the Ionosphere, Geomagn. Aeron., 2003, vol. 43, no. 6, pp. 788–798.
Sorokin, V.M., Sergeev, I.Yu., and Yaschenko, A.K., Electromagnetic Field Generation by Explosions in the Ionosphere, Adv. Space Res., 2006, vol. 38, no. 11, pp. 2511–2515.
Stuart, G.W., Explosions in Rarefied Atmosphere, Phys. Fluids, 1965, vol. 8, pp. 603–606.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © I.Yu. Sergeev, 2012, published in Geomagnetizm i Aeronomiya, 2012, Vol. 52, No. 6, pp. 845–850.
Rights and permissions
About this article
Cite this article
Sergeev, I.Y. Analytical model of explosions in a rarefied atmosphere. Geomagn. Aeron. 52, 805–810 (2012). https://doi.org/10.1134/S0016793212060096
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0016793212060096