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On explosion of linearly distributed charge of curvilinear form beneath the ground surface

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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.

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References

  1. Lavrent’ev, M. A. and Shabat, B. V. Problems of Hydrodynamics and their Mathematical Models (Nauka, Moscow, 1973) [in Russian].

    Google Scholar 

  2. 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).

    Google Scholar 

  3. Il’inskii, N. B. and Potashev, A. V. Boundary-Value Problems of Explosion Theory (Kazan Univ. Press, 1986) [in Russian].

    Google Scholar 

  4. Il’inskii, N. B. and Salimov, R. B. “The Inverse Problem of Blast Theory,” Izv. Vyssh. Uchebn. Zaved. Matematika, No. 2, 51–57 (1974).

    Google Scholar 

  5. 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).

    Google Scholar 

  6. Kotlyar, L. M. “On a Case of Jet Flow of an Ideal Fluid,” Soviet Mathematics (Iz. VUZ) 20, No. 2, 101–104 (1976).

    Google Scholar 

  7. Watson, E. T. and Witteker, G. N. Modern Analysis (Cambridge University Press, Cambridge, 1952; Fizmatgiz, Moscow, 1963).

    Google Scholar 

  8. Gurevich, M. I. Theory of Jets of Ideal Fluid (Nauka, Moscow, 1979) [in Russian].

    Google Scholar 

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Correspondence to A. I. Voronkova.

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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

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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

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  • DOI: https://doi.org/10.3103/S1066369X15090078

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