Numerical simulation of a binary gas flow inside a rotating cylinder

Abstract

A new approach to calculate the axially symmetric binary gas flow is proposed. Dalton's law for partial pressures contributed by each species of a binary gas mixture (argon and helium) is incorporated into numerical simulation of rarefied axially symmetric flow inside a rotating cylinder by using the time relaxed Monte-Carlo (TRMC) scheme and the direct simulation Monte-Carlo (DSMC) method. The results of flow simulations are compared with the analytical solution and results obtained by Bird [1]. The results of the flow simulations show better agreement than the results obtained by Bird [1] in comparison with the analytical solutions. However, the results of the flow simulations using the TRMC scheme show better agreement than those obtained using the DSMC method in comparison with the analytical solutions.

Molecular-level study of compressible gaseous continua

“…For Poiseuille flow [14,15] and the gas flow within a circular cylinder [16][17][18], viscous effects dominate the system, and the gas does not compress much; therefore, we consider them to test the applicability of NSF.…”

On the Expedient Solution of the Boltzmann Equation by Modified Time Relaxed Monte Carlo (MTRMC) Method

“…Their study indicated that the density, velocity and temperature profiles, obtained from the TRMC method, are in excellent agreement with the ones from the DSMC method. Moreover, Ganjaei and Nourazar (Ganjaei and Nourazar 2009) studied binary Argon and Helium mixture flow inside a rotating cylinder using the DSMC and TRMC methods. They used Daltons law for partial pressures of each species and showed that the results of TRMC method are in excellent agreement with the results obtained from analytical solution and standard DSMC method.…”