Shock Transition Solutions of Navier-Stokes Equations with Volume Viscosity for Nitrogen and Air

摘要

The internal structure and transition solutions for planar shock waves based on solutions of the Navier-Stokes equations for diatomic and polyatomic gases are examined. The numerical solution of the steady, one-dimensional form of the Navier-Stokes equations describing compressible flows with full viscous and thermal heat conduction effects, including volume viscosity, are considered. The governing ordinary differential equations (ODEs) are solved to obtain the variation of temperature, pressure, density, flow velocity and entropy in both the physical and state planes, through shock waves of varying strength.