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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 6, Pages 42–48
(Mi pmtf1656)
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Analytical solution of the problem of sphere rotation in a rarefied molecular gas
A. P. Andreeva, A. V. Latyshevb, V. N. Popova, A. A. Yushkanovb a Pomorskii State University, Arkhangel’sk, 163002, Russia
b Moscow State Regional University, Moscow, 107005, Russia
Abstract:
A problem of sphere rotation in a rarefied molecular gas is solved in an isothermal approximation. The particle velocity profile in the rarefied molecular gas entrained by the rotating sphere is obtained with a second-order correction in terms of the Knudsen number. For a rarefied molecular gas, in contrast to a monatomic gas, the particle velocity is demonstrated to depend substantially on the Prandtl number if rotational degrees of freedom of molecules are taken into account.
Keywords:
kinetic equation, rotating sphere, particle velocity profile.
Received: 20.01.2009 Accepted: 10.09.2009
Citation:
A. P. Andreev, A. V. Latyshev, V. N. Popov, A. A. Yushkanov, “Analytical solution of the problem of sphere rotation in a rarefied molecular gas”, Prikl. Mekh. Tekh. Fiz., 51:6 (2010), 42–48; J. Appl. Mech. Tech. Phys., 51:6 (2010), 809–814
Linking options:
https://www.mathnet.ru/eng/pmtf1656 https://www.mathnet.ru/eng/pmtf/v51/i6/p42
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