Self-Similar Solution of Spherical Shock Wave Propagation in a Mixture of a Gas and Small Solid Particles with Increasing Energy under the Influence of Gravitational Field and Monochromatic Radiation

Abstract

Similarity solution for a spherical shock wave with or without gravitational field in a dusty gas is studied under the action of monochromatic radiation. It is supposed that dusty gas be a mixture of perfect gas and micro solid particles. Equilibrium flow condition is supposed to be maintained and energy is varying which is continuously supplied by inner expanding surface. It is found that similarity solution exists under the constant initial density. The comparison between the solutions obtained in gravitating and non-gravitating medium is done. It is found that the shock strength increases with an increase in gravitational parameter or ratio of the density of solid particles to the initial density of the gas, whereas an increase in the radiation parameter has decaying effect on the shock waves.

The propagation of strong cylindrical shock wave in a rotating axisymmetric non‐ideal gas with radiation heat flux

“…Sahu [20] investigated the problem of one-dimensional unsteady flow in a non-ideal dusty gas behind a spherical or cylindrical shock wave with the azimuthal or axial magnetic field under the action of heat conduction and radiation heat flux, and obtained self-similar solutions. In previous studies [21][22][23][24][25], self-similar solutions of shock wave propagation in radiation gas dynamics were obtained. Singh [26] studied the propagation of strong cylindrical shocks in a rotating and radiating ideal gas and obtained the similarity solutions using the Lie group of transformations.…”

Shock Wave Driven Out by a Piston in a Mixture of a Non-ideal Gas and Small Solid Particles Under the Influence of Azimuthal or Axial Magnetic Field

“…The study of shock waves in a mixture of a gas and small solid particles of micro-size is of great importance due to its applications to nozzle flow, lunar ash flow, bomb blast, coal-mine blast, underground, volcanic and cosmic explosions, metalized propellant rocket, supersonic flight in polluted air, the collision of coma with a planet and many other engineering problems (see refs. [23][24][25][26][27][28][29][30][31][32][33][34][35][36]). There are many research papers which concern the study of characteristics of molecular-dust clouds.…”