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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2011 Volume 51, Number 11, Pages 2042–2052 (Mi zvmmf9574)

This article is cited in 5 papers

Numerical study of the radiometric phenomenon exhibited by a rotating Crookes radiometer

Yu. A. Anikin

Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700 Russia

Abstract: The two-dimensional rarefied gas flow around a rotating Crookes radiometer and the arising radiometric forces are studied by numerically solving the Boltzmann kinetic equation. The computations are performed in a noninertial frame of reference rotating together with the radiometer. The collision integral is directly evaluated using a projection method, while second- and third-order accurate TVD schemes are used to solve the advection equation and the equation for inertia-induced transport in the velocity space, respectively. The radiometric forces are found as functions of the rotation frequency.

Key words: Boltzmann kinetic equation, direct numerical simulation, radiometric forces, Crookes radiometer, micromotor, noninertial frame of reference.

UDC: 519.634

Received: 16.05.2011


 English version:
Computational Mathematics and Mathematical Physics, 2011, 51:11, 1923–1932

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© Steklov Math. Inst. of RAS, 2024