直线爆炸所形成的柱面波的近似分析解
An Approximate Analytical Solution of the Cylindrical Detonation Wave Generated by the Linear Explosion
-
摘要: 由直线爆炸所形成的柱面波,文献[1]得到了数值解。本文对于绝热指数γ=Cp/Cv较大的情形,取ε=1/γ2为小参数,用伸缩坐标法得到了问题的一级近似分析解。算例(γ=3)表明,近似解与准确解(数值解)十分符合。Abstract: The solution of the cylindrical detonation wave generated by the linear explosion was obtained by numerical method in ref. [1].In this paper, when the ratio of specific heat γ>>1 by using the enlargement coordinate method, the first-order analytical solutions are obtained. The perturbation parameter is ε=1/γ2. The correction of these solutions is checked at the end of this paper.
-
Key words:
- detonation wave /
- singular perturbation method /
- ratio of specific heat
-
[1] Баничук Н.В.,ПМТФ, 5(1969),123-124. [2] 钱伟长主编,《奇异摄动理论及其在力学中的应用》,科学出版社(1981). -
点击查看大图
计量
- 文章访问数: 1821
- HTML全文浏览量: 71
- PDF下载量: 542
- 被引次数: 0
下载:
