Confirmation of Non-classical Laws in Nonequilibrium Gases and Application of Conservation Laws to Verification of DSMC

Abstract

The constitutive laws, which describe the material's inherent properties, play a special role in the study of materials such as gases. In this study, the validity of non-classical constitutive laws in rarefied and micro gases is first considered. In particular, non-Navier and non-Fourier laws in algebraic forms identified in the velocity shear gas flows are investigated using DSMC. In addition, a new method based on the conservation laws is applied to the Couette flow and shock structure problems for the verification study of the DSMC. It is shown that, in flow problems involving with the wall boundary condition, the pressure among various properties is the most critical quantity in the verification and validation study of rarefied and micro gases. Such observation may imply the need of further theoretical and experimental investigation on the whole pressure and temperature flowfields beyond a reduced quantity such as the mass flow rate in the Poiseuille gas flows.