Journal of Fluid Mechanics

Closed-streamline flows past rotating single cylinders and spheres: inertia effects

G. G.  Poe a1p1 and Andreas  Acrivos a1
a1 Department of Chemical Engineering, Stanford University, Stanford, California 94305

Article author query
poe gg   [Google Scholar] 
acrivos a   [Google Scholar] 


The flow around a cylinder and a sphere rotating freely in a simple shear was studied experimentally for moderate values of the shear Reynolds number Re. For a freely rotating cylinder, the data were found to be consistent with the results obtained numerically by Kossack & Acrivos (1974), at least for Reynolds numbers up to about 10. Rates of rotation of a freely suspended sphere were also obtained over the same range of Reynolds numbers and showed that, with increasing Re, the dimensionless angular velocity does not decrease as fast for a sphere as it does for a cylinder. In both cases, photographs of the streamline patterns around the objects were consistent with this behaviour. Furthermore, it was found in each case that the asymptotic solutions for Re [double less-than sign] 1 derived by Robertson & Acrivos (1970) for a cylinder and by Lin, Peery & Schowalter (1970) for a sphere are not valid for Reynolds numbers greater than about 0.1, and that the flow remains steady only up to values of Re of about 6.

(Published Online March 29 2006)
(Received April 21 1975)

p1 Present address: Aerotherm Division of Acurex Corporation, Mountain View, California 94042.