On the Structure of a Viscous Shock-Front in a Two-Phase Gas-Particle Medium

The structure of the plane viscous shock-front in a two-phase gas-solid particle medium is investigated with the help of Navier-Stokes relation using the method of wave-front analysis. The analytical expressions for physical flow variables, i.e. the particle velocity, temperature, pressure, and change-in-entropy within the shock transition region have been derived taking into consideration the two-phase flow gas model. The influence on the structure of the shock-front due to the variation of different flow parameters such as coefficient of viscosity, Mach number, dust loading parameter, and the mass concentration of solid particles in the mixture is analysed. The thickness of the shock-front is calculated with varying different dust flow parameters within the shock transition region. In addition, variations in the thickness due to the viscosity and the shock strength have been observed. The results are compared with the case of dust-free medium. Interestingly, our findings confirm that flow parameters have a reasonable impact on the structure of a steady shock-front.