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Forced axial flow between rotating concentric cylinders

Published online by Cambridge University Press:  29 March 2006

Victor Barcilon  and
Howard C. Berg
Victor Barcilon
Affiliation:
Department of Mathematics and Institute of Geophysics and Planetary Physics, University of California, Los Angeles
Howard C. Berg
Affiliation:
Department of Biochemistry and Molecular Biology, Harvard University Present address: Department of Molecular, Cellular, and Developmental Biology, Boulder, Colorado 80302.
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Abstract

Forced axial flow in an annular gap of a cylindrical rotor is investigated analytically and experimentally. At small rotation rates and narrow gap widths, the axial flow is a simple Poiseuille flow over most of the rotor. The distance required for this Poiseuille flow to get established is estimated. An instability is observed at large rotation rates with certain input geometries.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 47 , Issue 3 , 14 June 1971 , pp. 469 - 479
Copyright
© 1971 Cambridge University Press

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References

Berg, H. C. & Purcell, E. M. 1967 Proc. Natn. Acad. Sci. (U.S.A.) 58, 1821.
Coddington, E. A. & Levinson, N. 1955 The Theory of Ordinary Differential Equations. McGraw-Hill.
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.