Electronic Resource
[S.l.]
:
American Institute of Physics (AIP)
Physics of Fluids
29 (1986), S. 3522-3529
ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
Unsteady liquid film flow on a rotating disk is analyzed by asymptotic methods for low and high Reynolds numbers. The analysis elucidates how a film of uniform thickness thins when the disk is set in steady rotation. In the low Reynolds number analysis two time scales for the thinning film are identified. The long-time-scale analysis ignores the initial acceleration of the fluid layer and hence is singular at the onset of rotation. The singularity is removed by matching the long-time-scale expansion for the transient film thickness with a short-time-scale expansion that accounts for fluid acceleration during spinup. The leading order term in the long-time-scale solution for the transient film thickness is shown to be a lower bound for film thickness for all time. A short-time analysis that accounts for boundary layer growth at the disk surface is also presented for arbitrary Reynolds number. The analysis becomes invalid either when the boundary layer has a thickness comparable to that of the thinning film, or when nonlinear effects become important.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.865829
Permalink
|
Location |
Call Number |
Expected |
Availability |
