The inverse operator representation of thermal diffusion factors in dense gas mixtures of rigid spheres

Mathematics

Scientific paper

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Gas Density, Gas Mixtures, Operators (Mathematics), Thermal Diffusion, Chapman-Enskog Theory, Ion Distribution, Mathematical Models, Planetary Atmospheres, Spheres, Stellar Atmospheres

Scientific paper

It is shown that, expressed in terms of the inverse of the Enskog collision operator, the Stefan-Maxwell equations in a multicomponent dense gas of rigid spheres take a form quite similar to that obtained in gases at moderate pressure. Two thermal diffusion factors are defined. The first is a 'kinetic' thermal diffusion factor formally identical with the factors found by kinetic theory at moderate pressures. The second is a 'phenomenological' thermal diffusion factor which is rather more pressure dependent. A brief comparison with experiment shows that the Enskog dense gas theory works best in systems rich in helium at elevated temperature.

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