The exact solutions for MHD shock waves in an ideal gas are obtained taking into consideration only the viscosity of the gas. In view of an axial magnetic field, the analytical expressions for the particle velocity, temperature, pressure and change-in-entropy within the shock transition region are obtained. The flow variables are numerical analysed to explore the influence of static magnetic field, shock strength, specific heat ratio, init ial pressure, initial density and coefficient of viscosity on the flow variab les. The findings confirm that thickness of MHD shock front increases with increase in the viscosity of the gas and the change in thickness is more noticeable for large values of the strength of magnetic field. The results provided a clear picture of whether and how the viscosity of gas and the magnetic field affect the thickness of shock front.
A theoretical model for entropy production in a viscous medium due to the propagation of shock waves has been developed. An exact general solution is achieved for plane, cylindrical and spherical symmetries of shock waves in viscous flow, which on numerical substitutions gives variations in the entropy production, temperature ratio and particle velocity in the shock transition region with the coefficient of viscosity, specific heat ratio, shock strength, initial density and initial pressure.
This work presents the structure of viscous shock front in a non-ideal gas. The analytical expressions for the particle velocity, temperature, pressure and change-in-entropy within the shock transition region are derived taking into consideration the Landau and Lifshitz equation of state for non-ideal gas. The effects on the structure of shock front due to the variations of the coefficient of viscosity, Mach number, adiabatic exponent and parameter of non-ideality of the gas are investigated. The model developed in the paper is valid only for small values of Mach number M i.e., M < 2.5.
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