
Arctic Environmental Research
A peer-reviewed open-access journal
e-ISSN 2658-7173 DOI:10.3897/issn2541-8416
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Founder: Northern (Arctic) Federal University named after M.V. Lomonosov Editorial office address: Russian Federation, 163002, Arkhangelsk, Naberezhnaya Severnoy Dviny 17, office 1410a Phone: (818-2) 21-61-00(15-33)e-mail: l.zhgileva@narfu.ru http://aer.narfu.ru/en/ 16+ ABOUT
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Section: Physics. Mathematics. Informatics UDC533.72AuthorsGulakova Svetlana Viktorovna, Postgraduate Student, Institute of Mathematics, Information and Space Technologies, Northern (Arctic) Federal University named after M.V. Lomonosov (Arkhangelsk, Russia)Popov Vasily Nikolaevich, Institute of Mathematics, Information and Space Technologies, Northern (Arctic) Federal University named after M.V. Lomonosov (Arkhangelsk, Russia) AbstractThe paper provides an analytical solution to the problem of Poiseuille flow using the kinetic approach. As the basic equation we used the linearized Williams equation, and as a boundary condition on the channel walls we used a diffuse reflection model. The structure of mass rate of gas and mass flux per unit of channel width were calculated. The results were compared with the analogous data obtained by numerical methods.KeywordsBoltzmann equation, model kinetic equations, Poiseuille flow, exact analytical solution.The full-text version of the article can be requested through the university’s library. References
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