Deceleration of a rotating disk in a viscous fluid
- 1 December 1979
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 22 (12) , 2267-2269
- https://doi.org/10.1063/1.862535
Abstract
A disk rotating in a viscous fluid decelerates with an angular velocity inversely proportional to time. It is found that the unsteady Navier–Stokes equations admit similarity solutions which depend on a nondimensional parameter S =α/Ω0, measuring unsteadiness. The resulting set of nonlinear ordinary differential equations is then integrated numerically. The special case of S =−1.606 699 corresponds to the decay of rotation of a free, massless disk in a viscous fluid.Keywords
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