Analysis on the internal structure of shock wave-front in a two-phase viscous fluid with heat-conduction

Abstract

The present study examined the effect of viscosity and heat-conduction on the internal structure of a plane shock wave in a two-phase gas-solid particles medium. The governing fluid flow equations (i.e., Navier-Stokes equations) are used to obtain the exact solutions supplemented with equations of state and nonlinear thermodynamically consistent constitutive relations. Through this model, the thickness of the shock-front is computed, and thereafter, we analyse the role of viscosity, including the effect of dust-laden parameters (e.g., mass fraction of the mixture, specific density ratio, Prandtl numbers, as well as the strength of shock on the thickness of the shock-front. The asymptotic variations in the thickness of the shock-front due to these flow parameters have been discussed and analysed numerically and graphically. The conclusion of the present study is to figure out the role of viscosity and dust-laden parameters on the width of the shock-front in studying the structure of the shock waves.