In this work, we assess the reliability of a new Bhatnagar–Gross–Krook (BGK)-type model of the linearized Boltzmann equation for binary gas mixtures by investigating the propagation of high-frequency sound waves in microchannels. In order to take into account the different gas–wall interaction properties experienced by the mixture components, we solve the kinetic equations assuming Maxwell boundary conditions, with different accommodation coefficients for the two species. Unlike other BGK models existing in the literature, the newly proposed model can describe general intermolecular forces. Therefore, in order to test this ability, we specialize our computations to mixtures with two components of very different masses (disparate-mass gas mixtures like He-Xe), since, in this case, the intermolecular forces play a more significant role compared to mixtures with species of similar masses. Then, we compare the results with those obtained by the McCormack model, which has been shown to correctly reproduce many experimental data.
Silvia Lorenzani (Sat,) studied this question.