A simplified analysis of spherical and cylindrical blast waves

A simplified analysis of spherical and cylindrical blast waves
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DOI:
10.1017/s0022112061000810
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发表时间:
1961-08
影响因子:
3.7
通讯作者:
M. Friedman
M. Friedman
中科院分区:
工程技术2区
文献类型:
--
作者:
M. Friedman

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对球形或圆柱形爆炸后气体流动特性的研究表明,在原始爆轰气体中会产生二次激波。二次激波起初很弱,随着膨胀的气体向外传播。随后,它加强并向原点弯曲,以高强度到达那里。本文利用激波动力学中最近发展起来的一些技术,并在必要时加以推广,发展了一种理论,用显式公式给出了主激波的运动以及二次激波的形成和随后的运动。此外,还给出了用显式公式确定爆轰气体与外界大气接触面位置的方法。一个具体的问题,这已经解决了通过数值积分的总运动方程的结果,也已被实验检查,与本理论的结果进行了比较。
Investigations into the behaviour of the gas flowbehind spherical or cylindrical blasts have shown that secondary shocks arise within the original detonation gases. The secondary shock, at first weak, is carried outward with the expanding gases. Subsequently it strengthens and bends back toward the origin, arriving there with high intensity. By using some recently developed techniques in shock dynamics and extending them where necessary, a theory is developed by which the motion of the main shock wave, as well as the formation and subsequent motion of the secondary shock, are given by explicit formulae. In addition, a method for determining, also by explicit formulae, the location of the contact surface between the detonation gases and the outside atmosphere is given. The results of a specific problem, which has been solved by numerically integrating the total equations of motion, and has also been checked experimentally, are compared with the results of the present theory.