Convergence of strong shock in a Van der Waals gas

被引:46
|
作者
Arora, Rajan [1 ]
Sharma, V. D. [1 ]
机构
[1] Indian Inst Technol, Dept Math, Bombay 400076, Maharashtra, India
关键词
shock waves; convergence; Van der Waals gas;
D O I
10.1137/050634402
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Strong cylindrical and spherical shock waves, collapsing at the center (or axis) of symmetry, are studied for a Van der Waals gas. The perturbation technique applied in this paper provides a global solution to the implosion problem, yielding the results for Guderley's local self-similar solution, which is valid only in the vicinity of the center/axis of implosion. The similarity exponents are found along with the corresponding amplitudes in the vicinity of the shock- collapse. The flow parameters and the shock trajectory have been computed for different values of the adiabatic coefficient and the Van der Waals excluded volume.
引用
收藏
页码:1825 / 1837
页数:13
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