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

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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

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Chapter # 7- DIMENSIONAL ANALYSIS AND MODELING
Section: Problems
Problem: 93
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Question Posted: September 16, 2023 00:00:32