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A microchannel flow application of a linearized kinetic Bhatnagar-Gross-Krook-type model for inert gas mixtures with general intermolecular forces

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The flow of binary gaseous mixtures in microchannels, driven by a gradient of pressure, is investigated using the linearized Boltzmann equation based on a Bhatnagar-Gross-Krook-type model, able to describe general… Click to show full abstract

The flow of binary gaseous mixtures in microchannels, driven by a gradient of pressure, is investigated using the linearized Boltzmann equation based on a Bhatnagar-Gross-Krook-type model, able to describe general collision kernels, and diffuse reflection boundary conditions. Semi-analytical solutions have been obtained through a transformation in integral equations and the results compared with those derived by the McCormack model, which have revealed a good consistency with the experimental data.The flow of binary gaseous mixtures in microchannels, driven by a gradient of pressure, is investigated using the linearized Boltzmann equation based on a Bhatnagar-Gross-Krook-type model, able to describe general collision kernels, and diffuse reflection boundary conditions. Semi-analytical solutions have been obtained through a transformation in integral equations and the results compared with those derived by the McCormack model, which have revealed a good consistency with the experimental data.

Keywords: type model; krook type; bhatnagar gross; model; gross krook

Journal Title: Physics of Fluids
Year Published: 2019

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