Rotational Collision Number and Rotationally Collision Cross Section of Inelastic Collision Model for Nitrogen Molecule in the Direct Simulation Monte Carlo Method

Abstract

Transport coefficients and rotational collision number of nitrogen molecule were evaluated using the Monte Carlo integration with the classical trajectory calculation (CTC) for a set of equations in the Wang-Chang-Uhlenbeck (WCU) theory, and then the rotationally inelastic collision cross section for the statistical inelastic cross section (SICS) model was made so as to reproduce the rotational collision number of CTC. Transport coefficients and rotational collision number of SICS model with the rotationally inelastic cross section presented in this study were in reasonable agreement with those of CTC. SICS model was applied to the simulation of nitrogen normal shock wave structure and compared with CTC and experimental results. The density and translational structure in the shock wave were in reasonable agreement with those of CTC results. However, the structures of rotational temperature in the highly non-equilibrium state were in poor agreement with those of CTC.