基于Laval喷管的圆管爆轰驱动近似解THE APPROXIMATE SOLUTION OF PIPE DRIVEN BY DETONATION BASED ON THE THEORY OF DE LAVAL NOZZLE
李晓杰,王金相,闫鸿浩,张越举,李瑞勇
LI Xiao-jie,WANG Jin-xiang,YAN Hong-hao,ZHANG Yue-ju,LI Rui-yong(Dalian University of Technology,Dalian 116024,China)
摘要(Abstract):
本文将圆管在滑移爆轰驱动下的运动与Laval喷管扩张段进行对比,利用Laval喷管的一维理论,推导出了圆管在炸药爆轰驱动下的二维抛掷公式。对于气体多方指数γ≠3的情况,采用小参数摄动法进行了求解。计算结果表明,在小抛掷角范围内,该方法有很好的计算精度。
The motion of circular pipe driven by sliding detonation was compared with the exhaust part of de Laval nozzle.Based on the one-dimensional theory of de Laval nozzle,the two-dimensional formula for the motion of circular pipe driven by sliding detonation was deduced out.For those explosives that the polytropic exponent γ is not equal to 3,the little-parameter-disturbed method was introduced to solute the problem.As a result,the calculation proved that theoretical solution has a higher precise in the range of little bending angle.
关键词(KeyWords):
爆轰驱动;Laval喷管;小参数摄动
Detonation driving; Laval nozzle; Disturbed solution
基金项目(Foundation):
作者(Author):
李晓杰,王金相,闫鸿浩,张越举,李瑞勇
LI Xiao-jie,WANG Jin-xiang,YAN Hong-hao,ZHANG Yue-ju,LI Rui-yong(Dalian University of Technology,Dalian 116024,China)