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.
REFERENCES
1.
R. Berker, in Encyclopedia of Physics (Springer, Verlag, Berlin, 1963), Vol. 8, No. 2.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
This content is only available via PDF.
© 1979 American Institute of Physics.
1979
American Institute of Physics
You do not currently have access to this content.