New exact solution of the problem of rotationally symmetric Couette-Poiseuille flow |
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Authors: | S N Aristov D V Knyazev |
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Affiliation: | (1) Institute of Mechanics of Continuous Media, Ural Division, Russian Academy of Sciences, Perm’, 614013 |
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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.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 5, pp. 71–77, September–October, 2007. |
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Keywords: | Navier-Stokes equations exact solutions Couette-Poiseuille flow |
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