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Flow between rotating finite disks with a closed end condition studied by heterodyne photon-correlation

Published online by Cambridge University Press:  17 February 2005

R. DI LEONARDO ,
F. IANNI  and
G. RUOCCO
R. DI LEONARDO
Affiliation:
Department of Physics, University of Rome La Sapienza, P.le Aldo Moro 2, 00185, Italy
F. IANNI
Affiliation:
Department of Physics, University of Rome La Sapienza, P.le Aldo Moro 2, 00185, Italy
G. RUOCCO
Affiliation:
Department of Physics, University of Rome La Sapienza, P.le Aldo Moro 2, 00185, Italy
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Abstract

We have investigated experimentally the swirling flow between a stationary and a rotating disk with fixed closed end. In order to perform velocimetry measurements we implemented a heterodyne photon-correlation setup and obtained the three components of the velocity field at different positions along the gap between the disks. We compared the results for two different Reynolds numbers with a numerical solution of the similarity equation, to investigate the relation between the finite and infinite disk solution, theoretically studied by Brady & Durlofsky (1987). For the measurements performed at $\hbox{\it Re}$ below the critical Reynolds number $\hbox{\it Re}_C\,{=}\,80$, we found that the two solutions agree very well near the axis of rotation. Above $\hbox{\it Re}_C$ we found that this quantitative agreement no longer holds, but the flow qualitatively resembles the Batchelor solution, with two boundary layers and a core rotating as a solid body. Our results validate the theoretical prediction for closed-end finite disk flow.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 525 , 25 February 2005 , pp. 27 - 36
Copyright
© 2005 Cambridge University Press

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