Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Expansion of a Fire-Ball and Subsequent Shock-Wave Propagation due to Underwater TNT Explosion

해저에서 TNT 폭발에 의한 파이어볼의 팽창과 이에 따른 충격파 전파

  • Kwak, Ho-Young (Dept. of Mechanical Engineering, Chung-Ang Univ.) ;
  • Kang, Ki-Moon (Dept. of Mechanical Engineering, Chung-Ang Univ.) ;
  • Ko, Il-Gon (Dept. of Mechanical Engineering, Chung-Ang Univ.)
  • Received : 2010.12.10
  • Accepted : 2011.04.13
  • Published : 2011.07.01
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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 a "polytrope" assumption at the fire-ball center. The shock waves developed from the rapid expansion of a fire-ball under water were obtained by using the KirkwoodBBethe hypothesis. The calculated period of bubble oscillation and the maximum radius of the bubble resulting from the fire-ball due to a violent underwater TNT explosion were in good agreement with the experimental data.

지금껏 TNT 폭발에 의한 피해를 계산하는 방법에는 몇 가지 실험에 의한 모델이 제안되었다. 본 논문에서는 fire-ball 중심에서 가스가 단열이라는 가정하에 연속방정식, 오일러 및 에너지 방정식에 대한 해석적 해를 얻어 TNT 가 폭발 후 팽창하는 fire-ball 에 대한 시간에 따른 반경의 변화를 얻었다. 급격히 팽창하는 fire-ball 에 의한 충격파의 전파는 Kirkwood-Bethe 가정에 의해 구하였다. 해저에서 TNT 가폭발하게 되면 fire-ball 이 생성, 팽창해 기포로 거동하게 된다. 이 기포의 주기와 최대반경에 대한 계산 값을 실험 값과 비교한 결과 계산 값은 실험 값과 잘 일치 하였다.

Keywords

Acknowledgement

Supported by : 한국학술진흥재단

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