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The Stewartson layer of a rotating disk of finite radius

โœ Scribed by A. I. Vooren

Publisher
Springer
Year
1992
Tongue
English
Weight
719 KB
Volume
26
Category
Article
ISSN
0022-0833

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โœฆ Synopsis

It is shown that if a disk of finite radius and the surrounding medium rotate coaxially with slightly different angular velocities, an axial layer in the form of a cylindrical shell exists at the edge of the disk. This shell of thickness O(E ~/3) has length O(E -~) in axial direction, where E is the Ekman number. Its most characteristic element is the axial velocity of O(E 1/6) which is larger than everywhere else in the field. We calculate the velocity components and the pressure in this layer.

๐Ÿ“œ SIMILAR VOLUMES

Fluid flow induced by a rotating disk of
Fluid flow induced by a rotating disk of finite radius
โœ A. I. Vooren; E. F. F. Botta ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Springer ๐ŸŒ English โš– 566 KB

The boundary-layer equations outside a rotating disk of radius a have been solved. It is shown that it is unnecessary to take special precautions for the sudden change in boundary conditions at the edge of the disk except if one is interested in the flow at distances which are smaller than about 10-