Author(s)

M. H. LAKSHMINARAYANA REDDY, S. KOKOU DADZIE

Abstract

Predicting accurately shock wave structures in gases using an appropriate hydrodynamic model is still a challenge in extended hydrodynamic model development in rarefied gases. In this paper, we identified constitutive equations that provide better agreement for the prediction of shock structure in a monatomic gas in the Mach number range 1.3–4. The results obtained show an improvement upon those obtained previously in the bi-velocity hydrodynamics and are more accurate than in the hydrodynamic models from expansions method solutions to the Boltzmann equation.

Keywords

shock waves, compressible flows, rarefied gas flows, constitutive relations, Navier–Stokes equations, volume/mass diffusion