An explosion occurs in the atmosphere when an antiaircraft missile meets its target (Fig. P793). A shock

Question:

An explosion occurs in the atmosphere when an antiaircraft missile meets its target (Fig. P7–93). A shock wave (also called a blast wave) spreads out radially from the explosion. The pressure difference across the blast wave ΔP and its radial distance r from the center are functions of time t, speed of sound c, and the total amount of energy E released by the explosion.

(a) Generate dimensionless relationships between ΔP and the other parameters and between r and the other parameters.

(b) For a given explosion, if the time t since the explosion doubles, all else being equal, by what factor will ΔP decrease?

FIGURE P7–93