Transport of mass and energy of polyatomic gases in magnetic fields computed by a Monte Carlo algorithm

The transport of mass through a rectangular channel and of energy between parallel surfaces of polyatomic gases in the Knudsen regime and in the presence of external magnetic fields is calculated by means of a Monte Carlo algorithm. A four-parameter mathematical model is proposed that takes into account the dynamical aspects of moleculesurface interactions and the influence of external magnetic fields on the angular momentum of polyatomic molecules. The Monte Carlo algorithm makes use of the Latin super-cube sampling method, correlated samplings, and the concept of importance sampling. The four parameters are determined by an optimised method based on the Monte Carlo algorithm and on experimental results for the mass flux rate of the gases N2 and CO in the presence of external magnetic fields through a rectangular channel with surfaces coated with Au. The optimised values of the parameters are used to determine the behaviour of the mass flux rate through a rectangular channel and the heat flux between two parallel plates for the gases N2 and CO as a function of the applied magnetic field. The calculated curves fit the experimental data well.