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Shock wave driven out by a piston in a mixture of a non-ideal gas and small solid particles under the influence of the gravitation field with monochromatic radiation

机译:在具有单色辐射的重力场的影响下,由活塞在非理想气体和小固体颗粒的混合物中被活塞驱动的冲击波

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摘要

Similarity solutions for a spherical shock wave in a mixture of small solid particles of micro size and a non-ideal gas are discussed under the influence of the gravitational field with mono-chromatic radiation. The solid particles are uniformly distributed in the mixture, and the shock wave is assumed to be driven by a piston. It is assumed that the equilibrium flow-conditions are maintained and the moving piston continuously supplies the variable energy input Due to the central mass ((m) over bar) at the origin (Roche model), the medium is considered to be under the influence of the gravitational field. In comparison to the attraction of the central mass at the origin, the gravitational effect of the mixture itself is neglected. The density of the undisturbed medium is assumed to be constant in order to obtain the self-similar solutions. The effect of the parameter of non-idealness of the gas (b) over bar, the mass concentration of solid particles in the mixture mu(p), the ratio of the density of solid particles to the initial density of the gas G(a) and the gravitational parameter G(0) are obtained. It is shown that due to an increase in the gravitational parameter the compressibility of the medium at any point in the flow field behind the shock front decrease and the flow variables velocity, pressure, radiation flux and shock strength are increased. Also, an increase in the ratio of the density of solid particles to the initial density of the gas G(a) and the gravitational parameter G(0) has the same effect on the shock strength and the reverse effect on the compressibility. The non-idealness of the gas causes a decrease in the shock strength and widens the disturbed region between the piston and the shock.
机译:在重力场与单彩色辐射的影响下讨论了微尺寸小固体颗粒的混合物中的球形冲击波的相似性解决方案。固体颗粒均匀地分布在混合物中,并且假设冲击波由活塞驱动。假设保持平衡流动条件,并且移动活塞由于在原点(Roche模型)上连续地提供导致的可变能量输入((m)上),介质被认为是影响重力场。与原点处的中央质量的吸引相比,忽略了混合物本身的重力效应。假设未受干扰的介质的密度是恒定的,以获得自相似的解决方案。气体(b)上的非理想性参数的效果,在混合物mu(p)中固体颗粒的质量浓度,固体颗粒密度与气体初始密度的比率(a获得了引力参数G(0)。结果表明,由于重力参数的增加,介质在冲击前减小的流场中的任何点处的介质的可压缩性,并且流量变量速度,压力,辐射通量和冲击强度增加。而且,固体颗粒密度与气体G(a)的初始密度的比率的增加对冲击强度和对压缩性的反向影响具有相同的效果。气体的非理想性导致减少冲击强度,并在活塞和休克之间扩大受扰动的区域。

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