Transport Coefficients of Inelastic Collision Model in the Direct Simulation Monte Carlo Method

Abstract

The rotational energy gain function for Monte Carlo simulation of an inelastic molecular collision in rarefied gas flow is revised by analysis using a combination of Monte Carlo integration and classical trajectory calculation (CTC) for diatomic molecules. The rotational energy gain function presented here is combined with the statistical inelastic cross-section (SICS) model and applied to evaluation of the transport coefficients of nitrogen gas using the Wang-Chang-Uhlenbeck (WCU) theory. The normal shock wave structures for nitrogen determined by the proposed energy gain function, Parker's energy gain function, and from experimental data are compared, and it is shown that the transport coefficients and shock wave structures given by the proposed function are in better agreement with the experimental results than Parker's energy gain function.

Monte Carlo Simulation of Hypersonic Rarefied Gas Flow using Rotationally and Vibrationally Inelastic Cross Section Models

“…respectively, where δ is the Dirac delta function, b r is the reduced impact parameter 15 which is introduced so as to describe the transport coefficients of real gases, and b el is the impact parameter for elastic collisions. The reduced and elastic impact parameters are defined as…”