Propagation of a strong spherical shock wave in a gravitating or non-gravitating dusty gas with exponentially varying density
Propagation of a strong spherical shock wave in a gravitating or non-gravitating dusty gas with exponentially varying density
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DOI：
10.1016/j.actaastro.2016.03.009
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发表时间：
2016-06
影响因子：
3.5
通讯作者：
G. Nath;J. P. Vishwakarma
中科院分区：
文献类型：
--
作者：
G. Nath;J. P. Vishwakarma
本文研究了等温和绝热流动下含尘气体中强球面激波的传播。尘埃气体被假定为小固体颗粒和理想气体的混合物。平衡流动条件被假定为保持，并且混合物的密度被假定为是变化的并且服从指数律。得到了非相似解，并研究了在给定时刻，混合物中固体颗粒的质量浓度、固体颗粒的密度与气体初始密度之比以及自引力场的存在对流动变量的影响。我们的分析表明，在包含重力场效应后，激波强度令人惊讶地增加，并且在流动变量的分布中发现了显着的差异。时间的增加也会增加冲击强度。此外，它是调查，考虑等温流动增加了冲击强度，并消除了奇异性的密度分布。此外，重力场的存在增加了介质的可压缩性，由于该可压缩性，介质被压缩，因此内接触表面和冲击表面之间的距离减小。自引力尘埃气体中的激波对于描述超新星爆炸中的激波、研究星星爆发星系的中心部分、恒星爆炸中的星星形成和激波、核爆炸、工业、高压容器破裂和电离层爆炸等都有重要意义。这项研究的其他潜在的应用包括爆炸线实验和圆柱对称的高超声速流问题与流星或再入的车辆等的分析数据之间的比较的解决方案的情况下的引力和非引力介质。所得到的解适用于任意的时间值。
The propagation of a strong spherical shock wave in a dusty gas with or without self-gravitational effects is investigated in the case of isothermal and adiabatic flows. The dusty gas is assumed to be a mixture of small solid particles and perfect gas. The equilibrium flow conditions are assumed to be maintained, and the density of the mixture is assumed to be varying and obeying an exponential law. Non-similarity solutions are obtained and the effects of variations of the mass concentration of solid particles in the mixture and the ratio of the density of solid particles to the initial density of the gas, and the presence of self-gravitational field on the flow variables are investigated at given times. Our analysis reveals that after inclusion of gravitational field effects surprisingly the shock strength increases and remarkable differences are found in the distribution of flow variables. An increase in time also, increases the shock strength. Further, it is investigated that the consideration of isothermal flow increases the shock strength, and removes the singularity in the density distribution. Also, the presence of gravitational field increases the compressibility of the medium, due to which it is compressed and therefore the distance between the inner contact surface and the shock surface is reduced. The shock waves in self-gravitating dusty gas can be important for description of shocks in supernova explosions, in the study of central part of star burst galaxies, star formation and shocks in stellar explosion, nuclear explosion, in industry, rupture of a pressurized vessel and explosion in the ionosphere. Other potential applications of this study include analysis of data from exploding wire experiments and cylindrically symmetric hypersonic flow problems associated with meteors or re-entry of vehicles etc. A comparison is made between the solutions in the cases of the gravitating and the non-gravitating media. The obtained solutions are applicable for arbitrary values of time.