| 直线爆炸所形成的柱面波的近似分析解 |
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| 引用本文： | 袁镒吾.直线爆炸所形成的柱面波的近似分析解[J].应用数学和力学,1993,14(5):415-418. |
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| 作者姓名： | 袁镒吾 |
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| 作者单位： | 中南工业大学 |
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| 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。
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| 关 键 词： | 爆轰波 奇异摄动法 绝热指数 |
| 收稿时间： | 1989-10-18 |
An Approximate Analytical Solution of the Cylindrical Detonation Wave Generated by the Linear Explosion |
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| Yuan Yi-wu.An Approximate Analytical Solution of the Cylindrical Detonation Wave Generated by the Linear Explosion[J].Applied Mathematics and Mechanics,1993,14(5):415-418. |
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| Authors: | Yuan Yi-wu |
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| Institution: | Central South University of Technology, Changsha |
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| Abstract: | The solution of the cylindrical detonation wave generated by the linear explosion was obtained by numerical method in 1 ]
In this paper, when the ratio of specific heat r>1, by using the enlargement coordinate method, the first-order analytical solutions are obtained. The perturbation parameter is e=l/V,. The correction of these solutions is checked at the end of this paper. |
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| Keywords: | detonation wave singular perturbation method ratio of specific heat |
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