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Self-similar solutions of cylindrical shock wave in a dusty gas

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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… Click to show full abstract

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.

Keywords: gas; self similar; solutions cylindrical; cylindrical shock; similar solutions; dusty gas

Journal Title: Indian Journal of Physics
Year Published: 2019

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