Incompressible viscous flows resulting from the steady rotation of a finite disk

✍ Scribed by Bentwich, M.

• Publisher: Springer
• Year: 1969
• Tongue: English
• Weight: 560 KB
• Volume: 20
• Category: Article
• ISSN: 0003-6994
• DOI: 10.1007/bf00382404

✦ Synopsis

Low Reynolds number solutions are obtained for two flows which are generated by the steady rotation oI a Iinite disk of zero thickness in its own plane. The disk is assumed to be either immersed in an infinite body of Iluid or else coplanar with a solid stationary plane with the fluid filling the half space on orte side of it. In both cases the swirl is strong near the source of disturbance and weakens with the distance from the disk. Spatial variations of the centrifugal acceleration give rise to radial outflow near the disk as well as to inflow along the axis oI symmetry. Since the disk is taken to be finite the analysis presented accounts for the conditions prevailing at the rim and beyond it. Thus, it is found that when the solid stationary plane is absent the flow is laster than when that partition is present. The retarding effect is noticeable eren in the vicinity of the origin.