The deceleration of a cylinder in an infinite viscous fluid

The retardation of the rotation of a cylinder in an infinite viscous fluid is investigated in two cases: (1) the retardation by the action of the viscous shear on the cylinder surface and the fluid is initially at rest and (2) the retardation by the action of the viscous shear and by a simple plane...

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Bibliographic Details
Published in:Energy conversion and management 1993-03, Vol.34 (3), p.235-237
Main Authors: Kholeif, I.A., Kamel, M.H., Atwa, M.A.
Format: Article
Language:English
Subjects:
Cylinder motion
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Laminar flows
Physics
Viscous fluids
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Summary:The retardation of the rotation of a cylinder in an infinite viscous fluid is investigated in two cases: (1) the retardation by the action of the viscous shear on the cylinder surface and the fluid is initially at rest and (2) the retardation by the action of the viscous shear and by a simple plane shear flow at infinity whose velocity components are U x = KY and U y = 0 . Calculations show exponential decay in the form Case 1 ω = ω 0 exp − (8πμt/m) Case 2 ω = −K/2 + (ω 0 + K/2) exp −(8πμt/m) where ω = initial angular velocity of the cylinder μ = coefficient of viscosity of the fluid m= mass of the cylinder per unit legth t= time
ISSN:0196-8904
1879-2227
DOI:10.1016/0196-8904(93)90140-6