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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, Volume 48, Issue 5, Pages 71–77
(Mi pmtf2075)
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This article is cited in 2 scientific papers (total in 2 papers)
New exact solution of the problem of rotationally symmetric Couette–Poiseuille flow
S. N. Aristov, D. V. Knyazev Institute of Mechanics of Continuous Media, Ural Division, Russian Academy of Sciences, Perm’, 614013
Abstract:
An exact solution is obtained for the problem of steady-state viscous incompressible flow under a pressure difference in the gap between coaxial cylinders for the case where the inner cylinder rotates at a constant angular velocity. The solution differs from the classical Couette–Poiseuille result by the presence of radial mass transfer, which provides for interaction between the poloidal and azimuthal circulations. The flow rate is found to depend linearly on the angular velocity of rotation of the inner cylinder.
Keywords:
Navier–Stokes equations, exact solutions, Couette–Poiseuille flow.
Received: 21.08.2006 Accepted: 26.10.2006
Citation:
S. N. Aristov, D. V. Knyazev, “New exact solution of the problem of rotationally symmetric Couette–Poiseuille flow”, Prikl. Mekh. Tekh. Fiz., 48:5 (2007), 71–77; J. Appl. Mech. Tech. Phys., 48:5 (2007), 680–685
Linking options:
https://www.mathnet.ru/eng/pmtf2075 https://www.mathnet.ru/eng/pmtf/v48/i5/p71
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Abstract page: | 17 | Full-text PDF : | 7 |
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