Evaluation of Pressure Variation using Monte Carlo Method

Abstract

Monte Carlo simulation was applied for the evaluation of flow rate and pressure variation under molecular flow condition. The results were compared with the analytical solution of the diffusion equation. The tendency of the time response of calculated gas flow rate and pressure was similar to the analytical results. However, it was found that the delay time of the calculated flow rate and pressure is larger than that of analytical result. The normalized delay time decreases with the pipe length to diameter ratio (L/d), and it tends the analytical results.