Self-similar solutions are determined for one-dimensional unsteady and cylindrically symmetric flow, driven by a moving piston in a dusty gas. Solid particles of the gas are continuously distributed. The medium has been taken uniform. It is supposed that the equilibrium condition for the flow holds and the piston continuously supplied the variable energy input. Solutions are determined for both types of flows, i.e., for isothermal flow and adiabatic flow. The effects of different values of the non-idealness parameter, magnetic field, mass concentration and the density ratio of the solid particles with the initial density of the mixture are shown in detail. A comparison has been shown between the adiabatic and isothermal flows. Numerical calculations have been done to obtain the flow profiles of variables. The computational work has been done using the software MATLAB.

中文翻译：

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含尘气体中圆柱激波的自相似解

对于一维非定常和圆柱对称流动，通过在粉尘气体中的运动活塞驱动，确定了自相似解。气体的固体颗粒连续分布。该介质已被统一。假定流动的平衡条件成立，并且活塞连续提供可变能量输入。确定两种流动类型的解决方案，即等温流动和绝热流动。详细显示了非理想参数，磁场，质量浓度和固体颗粒密度比的不同值对混合物初始密度的影响。已经显示出绝热和等温流之间的比较。已经进行了数值计算以获得变量的流动曲线。