Abstract
In impulse statement, we consider a two-dimensional problem on explosion of a linearly distributed charge of curvilinear form beneath the ground surface. The problem is reduced to the study of the flow of an ideal fluid with a free surface. The flow area is conformally mapped onto a ring. A mapping is constructed by numerical-analytic method. We give the results of the calculation of the blowout funnel at various geometric and physical parameters.
Similar content being viewed by others
References
Lavrent’ev, M. A. and Shabat, B. V. Problems of Hydrodynamics and their Mathematical Models (Nauka, Moscow, 1973) [in Russian].
Kuznetsov, V.M. “About the Form of Explosion Funnel with Explosion on the Ground Surface,” Prikl. Matem. i Teor. Fiz., No. 3, 152–257 (1960).
Il’inskii, N. B. and Potashev, A. V. Boundary-Value Problems of Explosion Theory (Kazan Univ. Press, 1986) [in Russian].
Il’inskii, N. B. and Salimov, R. B. “The Inverse Problem of Blast Theory,” Izv. Vyssh. Uchebn. Zaved. Matematika, No. 2, 51–57 (1974).
Kotlyar, L. M. “About an Explosion on the Ground Surface of Linearly Distributed Charge of Curvilinear Form,” Prikl. Matem. i Teor. Fiz., No. 1, 187–191 (1975).
Kotlyar, L. M. “On a Case of Jet Flow of an Ideal Fluid,” Soviet Mathematics (Iz. VUZ) 20, No. 2, 101–104 (1976).
Watson, E. T. and Witteker, G. N. Modern Analysis (Cambridge University Press, Cambridge, 1952; Fizmatgiz, Moscow, 1963).
Gurevich, M. I. Theory of Jets of Ideal Fluid (Nauka, Moscow, 1979) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © L.M. Kotlyar, A.I. Voronkova, 2015, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, No. 9, pp. 62–68.
Submitted by D.V. Maklakov
About this article
Cite this article
Kotlyar, L.M., Voronkova, A.I. On explosion of linearly distributed charge of curvilinear form beneath the ground surface. Russ Math. 59, 51–56 (2015). https://doi.org/10.3103/S1066369X15090078
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1066369X15090078