Abstract
The method for calculating the Poiseuille number as a function of the rarefaction parameter, the ratio of radii of the cylinders that form a long annular channel, and the accommodation coefficients of the tangential impulse of gas molecules on channel walls is proposed. These quantities are obtained using the Chebyshev polynomial approximation in the intermediate flow regime on the basis of the Shakhov linearized kinetic equation with the Maxwell specular-diffuse boundary conditions. An analysis of the results obtained in the neighborhood of the hydrodynamic gas flow regime with slip is given and the results obtained are compared with similar results found within the framework of BGK model.
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Translated by E.A. Pushkar
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Germider, O.V., Popov, V.N. Estimate of the Effect of Rarefaction on the Poiseuille Number in a Long Annular Channel under Partial Accomodation of Gas Molecules. Fluid Dyn 57, 663–671 (2022). https://doi.org/10.1134/S0015462822050056
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DOI: https://doi.org/10.1134/S0015462822050056