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SOURCE:    Almanac of Modern Science and Education. Tambov: Gramota, 2014. № 9. P. 74-77.
SCIENTIFIC AREA:    Physical-Mathematical Sciences
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ON ISSUE OF SPHERE ROTATION IN RAREFIED GAS AT ARBITRARY KNUDSEN NUMBERS

MAYASOV Evgenii Gabrielevich
Lobachevsky State University of Nizhni Novgorod (Branch) in Arzamas


Abstract. At arbitrary Knudsen numbers the moment of resistance force acting in rarefied gas on slowly rotating sphere was calculated. The analysis is conducted on the basis of the solution of linearized Boltzmann equation with exact collision integral by moment method for gas molecules interacting as hard spheres. Boundary condition on sphere surface is put in general terms. Comparison with results obtained previously by other methods was carried out.
Key words and phrases: кинетическое уравнение, интеграл столкновений, переходный режим, число Кнудсена, функция распределения, моментный метод, момент силы сопротивления, интегральные скобки, kinetic equation, collision integral, transitional regime, Knudsen number, distribution function, moment method, resistance force moment, integral brackets
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