Expansion of a fire-bali and subsequent shock-wave propagation due to underwater TNT explosion

Abstract

Until now, several empirical models for assessing the damage due to TNT explosions have been proposed. A set of analytical solutions for the time-dependent radius of an expanding fire-ball after detonation of TNT was obtained by solving the continuity, Euler (momentum), and energy equations with apolytrope assumption at the fire-ball center. The shock waves developed from the rapid expansion ofa fire-ball under water were obtained by using the KirkwoodBethe hypothesis. The calculated period ofbubble oscillation and the maximum radius of the bubble resulting from the fire-ball due to a violentunderwater TNT explosion were in good agreement with the experimental data.© 2011 The Korean Society of Mechanical Engineers.