Brief communications

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

L. M. Kotlyar, A. I. Voronkova

Chair of Mathematics, Naberezhnye Chelny Institute of Kazan (Volga Region) Federal University, 68/19 Mira Ave., Naberezhnye Chelny, 423810 Russia

Abstract: In impulse statement, we consider a two-dimensional problem on explosion of a charge of curvilinear form beneath the surface of a ground. 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.

Keywords: fluid, charge, parameter, funnel, problem, free surface.

UDC: 532.5

Presented by the member of Editorial Board: D. V. Maklakov
Received: 13.01.2015

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:9, 51–56

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