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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References
S. N. Aristov, “Steady-state cylindrical vortex in a viscous fluid,” Dokl. Ross. Akad. Nauk, 377, No. 4, 477–480 (2001).
S. N. Aristov and V. V. Puckhnachev, “On the equations of rotationally symmetric motion of a viscous incompressible fluid,” Dokl. Ross. Akad. Nauk, 394, No. 5, 611–614 (2004).
S. N. Aristov and D. V. Knyazev, “Rotationally symmetric flow of a viscous fluid between elongating coaxial cylinders,” in: Symmetry and Differential Equations, Proc. 3rd Int. Conf. (Krasnoyarsk, August 25–29, 2002), Krasnoyarsk State Univ., Krasnoyarsk (2002), pp. 21–25.
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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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Aristov, S.N., Knyazev, D.V. New exact solution of the problem of rotationally symmetric Couette-Poiseuille flow. J Appl Mech Tech Phys 48, 680–685 (2007). https://doi.org/10.1007/s10808-007-0087-7
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DOI: https://doi.org/10.1007/s10808-007-0087-7