Pair explosion in an exponential atmosphere

The problem of the interaction of two coaxial explosions in a barometric atmosphere is solved numerically based on the complete system of Navier-Stokes equations. Basic regularities that occur in the interference of two spherical shock waves of different intensities are studied. The last stage of the processes, when shock wave processes become unimportant and convection plays a dominant part, is investigated.Notation t time - r, z cylindrical coordinates - v=(u, ) velocity - density - p pressure - T temperature - ,k dynamic viscosity and thermal conductivity - V(t) calculation region - f(t), _± (t boundaries of the calculation region - z ₁ ,z ₂ altitudes of the centers of the lower and upper explosions - R ₁ ,R ₂ initial radii of the regions involved in the explosions - altitude of the homogeneous atmosphere - g acceleration due to gravity - adiabatic exponent - , , parameters - M Mach number - Re Reynolds number - Pr Prandtl number - c _p ,c _v specific heats Department of Theoretical Problems, Russian Academy of Sciences, Moscow. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 66, No. 6, pp. 657–661, June, 1994.