Energy and momentum equations for disparate-mass binary gases

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Abstract
Normal solutions to the Boltzmann equation are investigated using a reordering of the various collision integrals which is expected to be appropriate for binary gas mixtures in which the species masses are very different from each other but the number densities are comparable. The resulting predictions for the temperatures and flow velocities of the species are obtained and discussed. Conservation and relaxation equations are obtained and compared with results of others. Predictions for a uniform mixture indicate that the approach used is a consistent way of treating disparate-mass binary gases. Finally, it is shown that the results presented here also apply to Lorentzian mixtures.