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Comparison of MTK and MOLFLUX models for molecular transport among multiple surface nodes

This paper discusses a comparison of molecular transport predictions between the Molecular Transfer Kinetics (MTK) model based on Gebhart's enclosure theory for thermal radiation and the Molecular Flux (MOLFLUX) model based on the ray-tracing concept. The analysis has shown that the two molecular transport models are equivalent if the 'infinite number of molecular reflections' condition is imposed on MOLFLUX calculations. The general multi-node molecular transport expressions for MTK and MOLFLUX are derived, followed by proving hue MTK/MOLFLUX equivalence through comparisons of the MTK and MOLFLUX solutions for a two-node problem and a special three-node problem. Finally, the MTK/MOLFLUX equivalence is demonstrated by numerical solutions for a 169-node satellite configuration using the two models.