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Zbl 1141.76066
Ersoy, H.Volkan
An approximate solution for flow between two disks rotating about distinct axes at different speeds.
(English)
[J] Math. Probl. Eng. 2007, Article ID 36718, 16 p. (2007). ISSN 1024-123X; ISSN 1563-5147/e

Summary: We study the flow of a linearly viscous fluid between two disks rotating about two distinct vertical axes. An approximate analytical solution is obtained for the rotations with a small angular velocity difference. It is shown how the velocity components depend on the position, the Reynolds number, the eccentricity, the ratio of angular speeds of the disks, and the parameters satisfying the conditions $u=0$ and $\nu =0$ in midplane.
MSC 2000:
*76U05 Rotating fluids
76M45 Asymptotic methods, singular perturbations

Keywords: asymptotic solution; linearly viscous fluid; small angular velocity difference

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Scientific prize winners of the ICM 2010
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